Which of the following is true? Use the number line to help you decide.

Which Of The Following Is True? Use The Number Line To Help You Decide.

Answers

Answer 1

Answer:

the answer is C

Step-by-step explanation:

bc the rest of them are wrong


Related Questions

What does 5 units equal, will get brainly for the first answer!

Answers

Answer:

5

Step-by-step explanation:

Units = ones. For instance if the question was "5938, which number is in the units?" it would be 8.

There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?​

Answers

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

What is the midpoint of the segment shown below?
10.
(-3,4)
O A. (-3.3)
O B. (-9,3)
- (-6,-1)
10
C. (- )
D. (-9,3)


Need help please

What is the midpoint of the segment shown below?10.(-3,4)O A. (-3.3)O B. (-9,3)- (-6,-1)10C. (- )D. (-9,3)Need

Answers

Answer:

(-9/2,3/2)

Step-by-step explanation:

x coordinate of mid point=(x1+x2)/2

y coordinate of mid point=(y1+y2)/2

A ball is thrown into the air with an initial velocity of 30 ft/sec. This situation is modeled by h=-16t^2+30t+6. Will it reach the top of a building with a roof height of 22 feet?

Answers

The height of the building roof is 22 feet, the ball will not reach the top of the building.

To determine whether the ball will reach the top of the building, we need to find the maximum height of the ball & see if it is greater than or equal to the height of the building roof

The equation h = -16t^2 + 30t + 6 represents the height of the ball (in feet) as a function of time (in seconds). To find the maximum height, we need to find the vertex of the parabolic function h.

The vertex of the parabolic function h = -16t^2 + 30t + 6 can be found using the formula:-

t = -b/2a

where a = -16, b = 30, & c = 6.

So, t = -30/(2*(-16)) = 0.9375 seconds.

To find the maximum height, we need to substitute this value of t into the equation h = -16t^2 + 30t + 6:-

h = -16(0.9375)^2 + 30(0.9375) + 6

h = 18.5625 feet

Therefore, the maximum height of the ball is 18.5625 feet

Since the height of the building roof is 22 feet, the ball will not reach the top of the building.

To know more about height of the ball-

brainly.com/question/14277753

#SPJ4

Benedicta Jones of Gorsam Capital liked Harkel's plan, but thought it naive in one respect: to recruit a senior management team, she felt Harkel would have to grant generous stock options in addition to the salaries projected in his business plan. From past experience, she felt management should have the ability to own at least a 15% share of the company by the end of year 5. Given her beliefs, what share of the company should Benedicta insist on today if her required rate of return is 50%?

Answers

Without the projected value of the company at the end of year 5 (V), it is not possible to determine the specific ownership stake Benedicta should insist on today.

How much ownership stake should Benedicta insist on today?

To determine the share of the company Benedicta Jones should insist on today, we need to calculate the present value of the expected future ownership stake at the end of year 5, based on her required rate of return of 50%.

Let's assume that the projected value of the company at the end of year 5 is V. Benedicta wants the management team to own at least a 15% share of the company by that time. So, the expected ownership stake at the end of year 5 would be 15% of V.

To calculate the present value of this future ownership stake, we discount it back to the present using the required rate of return. The formula for calculating the present value is:

PV = FV / (1 + r)\(^n\)

Where PV is the present value, FV is the future value, r is the required rate of return, and n is the number of years.

In this case, the future value (FV) is 15% of V, the required rate of return (r) is 50% (0.5), and the number of years (n) is 5.

PV = (15% of V) / (1 + 0.5)\(^5\)

Now, we can solve this equation to find the present value of the ownership stake.

However, we don't have the projected value of the company (V) or any additional information to determine it. Without the specific value of V, we cannot calculate the exact present value of the ownership stake Benedicta should insist on today.

Please provide the projected value of the company at the end of year 5 (V) so that we can calculate the required ownership stake.

Learn more about ownership

brainly.com/question/31889760

#SPJ11

Doubling the size of the sample will a. double the standard error of the mean b. have no effect on the standard error of the mean c. reduce the standard error of the mean to approximately 70% of its current value d. reduce the standard error of the mean to one-half its current value

Answers

Using the Central Limit Theorem, it is found that the correct option regarding the standard error of the mean is given by:

c. reduce the standard error of the mean to approximately 70% of its current value.

What does the Central Limit Theorem states about the standard error of the mean?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error \(s = \frac{\sigma}{\sqrt{n}}\).

Doubling n, we have that:

\(s_d = \frac{\sigma}{\sqrt{2n}} = \frac{1}{\sqrt{2}}\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7\left(\frac{\sigma}{\sqrt{n}}\right) = 0.7s\)

Hence option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Do the ratios 60:45 and 10:9 form a proportion?

Answers

Comparing the two simplified ratios, 4:3 and 10:9, we see that they are not equal, so the ratios 60:45 and 10:9 do not form a proportion.

How are proportions determined?

We must examine whether the cross-products are equal in order to determine whether the ratios of 60:45 and 10:9 constitute a proportion.

60 x 9 = 540 is the cross product of 60 and 9.

45 x 10 = 450 is the cross product of 45 and 10.

The cross-products are not equal, hence the ratios of 60:45 and 10:9 do not constitute a proportion (540 is not equal to 450, for example).

Simplifying two ratios to their simplest form is another technique to determine if they constitute a proportion.

By dividing both components by their greatest common factor, which is 15, the ratio 60:45 can be reduced to 4:3.

The 10:9 ratio has already reached its lowest point.

Learn more about Proportions here:

brainly.com/question/11897796

#SPJ9

How do you find number 42? please answer ASAP!!!!

How do you find number 42? please answer ASAP!!!!

Answers

The area of the figure will be 35 square cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

Then the area of the rectangle will be

Area of the rectangle = Length × Width square units

The area of the figure is the sum of the area of the triangle and rectangle.

A = Area of the triangle + Area of the rectangle

A = (1/2) x 10 x 3 + 10 x 2

A = 15 + 20

A = 35 square cm

Then the area of the figure will be 35 square cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1

When cut into 10 equal slices each slice is 1/10 of the pizza Express how much of the pizza 7 of these slices would be in decimal form.

Answers

Answer:

0.7

Step-by-step explanation:

I desperately need the answer please what is a chair

Answers

Answer:

a seat-that u sit on when you are teird ummmm yeah have a nice dayyyy

Allen is 5 years older than Cassandra. In 4 years, he will be twice as old as Cassandra was 2 years ago. Find their ages.

Answers

Answer:

C = 13, A = 18

Step-by-step explanation:

A = 5 + C

A + 4 = 2(c-2)  

5+c+4 = 2c - 4

9 + c = 2c - 4

c = 2c - 13  

-1c = -13

c = 13

A = 5 + 13  

A = 18

why does the semi-strong form of the efficient markets hypothesis (emh) imply that prices should follow a random walk (with drift)?

Answers

The semi-strong form of the Efficient Markets Hypothesis (EMH) asserts that all publicly available information is rapidly and accurately reflected in a stock's current price.

This implies that new information that enters the market is quickly incorporated into the stock price, making it difficult for traders to earn excess returns by analyzing publicly available information.

If prices are already reflecting all available information, then the only way for prices to move in the future is through new and unpredictable information entering the market. Thus, the semi-strong form of the EMH implies that stock prices should follow a random walk.

A random walk is a mathematical model that describes the movement of a variable (in this case, the stock price) that is determined by a sequence of random events. In the context of stock prices, a random walk implies that the future price changes are not predictable, and that they are not dependent on past prices or any other historical data.

The "drift" in a random walk with drift means that the expected value of the random walk is not zero, but rather changes at a constant rate over time. In the case of stock prices, the drift component reflects the fact that stock prices tend to increase over time due to factors such as economic growth, inflation, and increased profitability of companies.

Therefore, the semi-strong form of the EMH implies that stock prices should follow a random walk with drift, as the prices should be constantly adapting to new information and changing in response to underlying economic factors.

To learn more about market click on,

https://brainly.com/question/20709287

#SPJ4

Use the Distributive Property to rewrite and evaluate 8.598 by filling in the blanks below.
8-598 = 8(600- __)
=
8 (600) - 8(__)
= 4800 - __
= __

Answers

Answer:

4784.

Step-by-step explanation:

8 * 598 = 8(600- _2_)

=

8 (600) - 8(_2_)

= 4800 - _16_

= 4784__

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8

Answers

Answer: -10 I think

Step-by-step explanation:

How do you do these?

How do you do these?

Answers

Answer:

a. 10^- 3

b. 10^- 7

c. 10^- 8

d. 10^- 9

e. 1 / 10^6

a.

1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 )

= 1 / 1000

= 1 / 10^3

= 10^- 3

b.

1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10

= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )

= 1 / 10000000

= 1 / 10^7

= 10^- 7

c.

( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2

= ( 1 / 1000 )^2

= ( 1 / 10^3 )^2

= ( 10^- 3 )^2

= 10^( - 3 x 2 )

= 10^- 6

d.

( 1 / 10. 1 / 10. 1 / 10 )^3

= ( 1 / 1000 )^3

= ( 1 / 10^3 )^3

= ( 10^- 3 )^3

= 10^( - 3 x 3 )

= 10^- 9

e.

( 10. 10. 10. )^- 2

= ( 10^3 )^- 2

= ( 1 / 10^3 )^2

= 1 / 10^( 3 x 2 )

= 1 / 10^6

ind the probability that randomly selected person in China has a blood pressure that is at most 70.5 mmHg.

Answers

1. The probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more is 0.0019. 2. The probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less is 0.1421. 3. The probability of the blood pressure being between 61.1 and 103.9 mmHg is approximately 0.1402. 4. The probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg is 0.0055. 5. The 72% of all people in China have a blood pressure of less than 140.82 mmHg.

To solve these probability questions, we'll use the Z-score formula:

Z = (X - μ) / σ,

where:

Z is the Z-score,

X is the value we're interested in,

μ is the mean blood pressure,

σ is the standard deviation.

1. Find the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more.

To find this probability, we need to calculate the area to the right of 61.1 mmHg on the normal distribution curve.

Z = (61.1 - 128) / 23 = -2.913

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -2.913 is approximately 0.0019.

So, the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more is 0.0019.

2. Find the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less.

To find this probability, we need to calculate the area to the left of 103.9 mmHg on the normal distribution curve.

Z = (103.9 - 128) / 23 = -1.065

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -1.065 is approximately 0.1421.

So, the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less is 0.1421.

3. Find the probability that a randomly selected person in China has a blood pressure between 61.1 and 103.9 mmHg.

To find this probability, we need to calculate the area between the Z-scores corresponding to 61.1 mmHg and 103.9 mmHg.

Z₁ = (61.1 - 128) / 23 = -2.913

Z₂ = (103.9 - 128) / 23 = -1.065

Using a standard normal distribution table or calculator, we find the area to the left of Z1 is approximately 0.0019 and the area to the left of Z₂ is approximately 0.1421.

Therefore, the probability of the blood pressure being between 61.1 and 103.9 mmHg is approximately 0.1421 - 0.0019 = 0.1402.

4. Find the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg.

To find this probability, we need to calculate the area to the left of 70.5 mmHg on the normal distribution curve.

Z = (70.5 - 128) / 23 = -2.522

Using a standard normal distribution table or calculator, we find that the probability associated with a Z-score of -2.522 is approximately 0.0055.

So, the probability that a randomly selected person in China has a blood pressure that is at most 70.5 mmHg is 0.0055.

5. To find the blood pressure at which 72% of all people in China have less than, we need to find the Z-score that corresponds to the cumulative probability of 0.72.

Using a standard normal distribution table or calculator, we find that the Z-score corresponding to a cumulative probability of 0.72 is approximately 0.5578.

Now we can use the Z-score formula to find the corresponding blood pressure (X):

Z = (X - μ) / σ

0.5578 = (X - 128) / 23

Solving for X, we have:

X - 128 = 0.5578 * 23

X - 128 = 12.8229

X = 140.8229

Therefore, 72% of all people in China have a blood pressure of less than 140.82 mmHg.

To know more about "Probability" refer here:

brainly.com/question/30034780

#SPJ4

The complete question is:

According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg. Assume that blood pressure is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000.

1. Find the probability that a randomly selected person in China has a blood pressure of 61.1 mmHg or more.

2. Find the probability that a randomly selected person in China has a blood pressure of 103.9 mmHg or less.

3. Find the probability that a randomly selected person in China has a blood pressure between 61.1 and 103.9 mmHg.

4. Find the probability that randomly selected person in China has a blood pressure that is at most 70.5 mmHg.

5. What blood pressure do 72% of all people in China have less than? Round your answer to two decimal places in the first box.

determine whether the statement is true or false if f and g are continuous functions f(x) <= g(x) for all x>0

Answers

The statement "f(x) <= g(x) for all x > 0" does not necessarily imply that f(x) is always less than or equal to g(x) for all x > 0. This statement is false.

To demonstrate this, consider the following counterexample:

Let's assume f(x) = x and g(x) = x^2. Both f(x) and g(x) are continuous functions for all x > 0.

Now, if we examine the interval (0, 1), for any value of x within this interval, f(x) = x will always be less than g(x) = x^2. However, if we consider values of x greater than 1, f(x) = x will become greater than g(x) = x^2.

In this counterexample, we have f(x) <= g(x) for all x > 0 within the interval (0, 1), but the inequality is reversed for x > 1. Therefore, the statement "f(x) <= g(x) for all x > 0" is false.

It's important to note that the validity of the statement depends on the specific functions f(x) and g(x). There may be cases where f(x) <= g(x) holds true for all x > 0, but it cannot be generalized without further information about the functions.

In general, comparing the behavior of two continuous functions requires a more comprehensive analysis, taking into account the specific properties and characteristics of the functions involved.

Learn more about interval at: brainly.com/question/11051767

#SPJ11

(m-2)-5=8-2(m-4) ? ​

Answers

Answer:

m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6

Step-by-step explanation:

2x - 4 < 12
???????????

Answers

Answer: x < 8

Reason: I did some math

Answer:

x<8

Step-by-step explanation:

Suppose that each of n sticks is broken into one long and one short part. The 2n parts are arranged into n pairs from which new sticks are formed. Find the probability (a) that the parts will be joined in the original order, (b) that long parts are paired with short parts.

Answers

Given Information:Each of n sticks is broken into one long and one short part. The 2n parts are arranged into n pairs from which new sticks are formed.Pairing each long part with a short part gives n possible pairs.Explanation:a. Probability that the parts will be joined in the original orderWe have n sticks that are broken into 2 parts

each.So, total parts = 2nOut of 2n parts, we can select n parts in n! ways. (Order is important as we have to join them in the original order)For each such n! arrangement, there is only 1 main answer that is the original order of n sticks.Now, total number of ways to arrange the parts is 2n!.So, probability that the parts will be joined in the original order = Number of favourable outcomes / Total number of possible outcomes= n! / 2n! = 1 / 2n-1b. Probability that long parts are paired with short partsWe have n pairs out of which one part is long and other is short.Each long part can be paired with a short part in n ways.Out of n pairs, one pair can be selected in nC1 ways. Similarly, the other pairs can be selected in n-1 C 1 ways, n-2 C 1 ways and so on

Total number of ways to select n pairs is n * (n-1) * (n-2) *... * 1 = n!So, probability that long parts are paired with short parts= Number of favourable outcomes / Total number of possible outcomes= n! / 2n! = 1 / 2n-1Therefore, the main answer to the problem is:(a) Probability that the parts will be joined in the original order= n! / 2n!(b) Probability that long parts are paired with short parts= n! / 2n!

To know more about Probability visit:

https://brainly.com/question/32117953

#SPJ11

d. if a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an mba degree (to decimals)?

Answers

0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

Learn more about probability.

brainly.com/question/30034780

#SPJ11

a company's cost function is c(x) = √(9x2 + 1600) dollars, where x is the number of units. find the marginal cost function.mc(x) = ..evaluate it at x = 10. mc(10) = ..

Answers

The marginal cost function at x = 10 is 90/103 dollars.

The marginal cost function is the derivative of the cost function with respect to x. To find the marginal cost function, we will take the derivative of the cost function c(x) = √(9x^2 + 1600) using the chain rule.

First, we will find the derivative of the inside function:

d/dx (9x^2 + 1600) = 18x

Next, we will find the derivative of the outside function:

d/dx √(u) = (1/2)u^(-1/2)

Now, we will apply the chain rule:

mc(x) = d/dx c(x) = d/dx √(9x^2 + 1600) = (1/2)(9x^2 + 1600)^(-1/2) * 18x

Simplifying, we get:

mc(x) = (9x)/(√(9x^2 + 1600))

To evaluate the marginal cost function at x = 10, we will plug in 10 for x:

mc(10) = (9*10)/(√(9*10^2 + 1600)) = 90/√(9000 + 1600) = 90/√(10600) = 90/103

Know more about marginal cost here:

https://brainly.com/question/12231343

#SPJ11

Name two pairs of opposite rays.

Name two pairs of opposite rays.

Answers

Answer:

Ray ZV and Ray WV

Step-by-step explanation:

Help me with this Question Please.

Help me with this Question Please.

Answers

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

For a result to be considered _____, the chances of its occurring as a result of random error are often less than 5 percent.

Answers

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

What is Random error?

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

To know more about Random error,visit;

https://brainly.com/question/14149934

#SPJ1

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 560 pizzas in all, 85% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?

Answers

The cafeteria made 476 mushroom pizzas, last Friday.

As we know that the percentage is defined as a ratio expressed as a fraction of 100.

If 85% of the pizzas were mushroom pizzas, then the remaining 15% must be pepperoni pizzas.

Let's first calculate the total number of pepperoni pizzas made:

15% of 560 = 0.15 x 560 = 84

So, the cafeteria made 84 pepperoni pizzas.

To determine the number of mushroom pizzas, we can subtract the number of pepperoni pizzas from the total number of pizzas:

560 - 84 = 476

Therefore, the cafeteria made 476 mushroom pizzas.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ4

HELPPPPP!!!! WILL GIVE BRAINLIEST!!!!!

HELPPPPP!!!! WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

b and c

Step-by-step explanation:

All angles in a triangle add up to 180

HELPPPPP!!!! WILL GIVE BRAINLIEST!!!!!

What is the missing value in 27, 40, ______, 66, 79?

Answers

Answer:

53

Step-by-step explanation:

The pattern is +13.

Hope this helps!

Suppose that ƒ is a function given as f(x)=√-2x-3.
Simplify the expression f(x + h).
f(x + h) =

Answers

The value of ƒ(x + h) = √-2(x + h) - 3= √-2x - 2h - 3.

Given a function,

ƒ(x) = √-2x - 3.

To simplify the expression f(x + h), we substitute (x + h) for x in the function ƒ(x).

So,

ƒ(x + h) = √-2(x + h) - 3 = √-2x - 2h - 3.

The function is f(x) = √-2x - 3.

To simplify the expression f(x + h), we substitute (x + h) for x in the function ƒ(x). Substituting (x + h) for x in the function ƒ(x), we get:

ƒ(x + h) = √-2(x + h) - 3= √-2x - 2h - 3.

This is the simplified expression of the given function f(x + h).

Simplifying a function involving substituting one variable into the other using this formula is an important topic in calculus. In general, substituting variables into functions simplifies expressions and aids in solving equations.

To know more about calculus, visit:

brainly.com/question/31834325

#SPJ11

una caja contiene 2 bolitas blancas y 3 blancas .la probabilidad de que la primera extraída sea blanca y la segunda sea negra , sin reponer la primera

Answers

si cinco son blancas como va a ver una negra ?

Other Questions
I NEED HELP FOR ONLY QUESTION 10!!!!DNA Replication WorksheetWriting a Full Strand:10 A. Original DNA:CCT ATA TCT CTC TAT ATC TCT CAT ACT GTGTGT CTC TATComplementary DNA:B. Make identical strands of DNACCT ATA TCT CTC TAT ATC TCT CAT ACT GTGTGT CTC TAT (original)(new)(new)(complementary from 1A) I don't know which one this is.. Please Help! My math teacher is strict. My previous math teachers was strict. What can you say about all math teachers? The medical use of drugs during radiological procedures and other types of medical tests to provide evidence of a disease process is known as ________. Which accents of French are usually the hardest to understand? read comments for the question Can someone help me with this please Your goal is to create a college fund for you child. Suppose you find a fund that offers an apt of 6% . How much should you deposit monthly to accumulate $80,00 in 14 years Ten years ago, Alex purchased 400 shares in a mutual fund for $22.50 per share. He has never made an additional investment in this fund, but because of reinvested dividends and capital gains, he now owns 562 shares with a net asset value of $65.80 per share. Ignoring taxes, his compound average annual rate of return (IRR) is13.98%15.18%.17.79%.19.62%. For each of the following, write the equation of the line determined by the given pair of points in slope-intercept form or in the form xa or yb. About 80% of Colombia's population is under what age?a. 45b. 65c. 25d. 30 In a baseball league consisting of 13 teams, each team plays each of the other teams twice. How many games will beplayed? What give the cell shape? I WILL MARK BRAINLIST!!Please its due help me please fast Question 1 (True/False Worth 3 points)(05.01 LC)The internet is a local communication network that allows only certain computers to connect and exchange information.O TrueFalse financial contributions to the campaigns of members of congress, state legislators and other elected officials by firms that seek special interest legislation that make the firms better off are Which is the correct answer faith in the character and actions of another is called . a. coaching b. trust c. grievance d. communication 7) through: (2,-5), slope ---5/79) through: (1, 2), slope -128) through: (-4, 3), slope --15) through: (4,2), perp. to y=-3x-4Write the slope-intercept form of the equation of the line described.11) through: (-1,4], parallel to y = -6x + 213) through: (-3, 5), perp. to y = 3x-37210) through: (3,-1), slope --12) through: (2, 2), parallel to y=-4514) through: (5,0), perp. to y=---Write the slope-intercept form of the equation of the line through the given points.16) through: (0, 2) and (4, -3)17) through: (0, 5) and (2, -1)