Determine the slope and the y-intercept of the line represented by the equation y=-7/9x +3 ​

Answer:

(s+r)(-2) = 2

Step-by-step explanation:

To find the expressions for (s-r)(x) and (s+r)(x), we need to subtract and add the functions s(x) and r(x) respectively.

(s-r)(x) = s(x) - r(x)

Substituting the given functions:

(s-r)(x) = 2x^2 - 3x

(s+r)(x) = s(x) + r(x)

Substituting the given functions:

(s+r)(x) = 2x^2 + 3x

To evaluate (s+r)(-2), we substitute x = -2 into the expression for (s+r)(x):

(s+r)(-2) = 2(-2)^2 + 3(-2)

= 2(4) - 6

= 8 - 6

= 2

know more about functions: brainly.com/question/21145944

#SPJ11

Answer:

\( \frac{4}{4} > \frac{1}{4} \)

Step-by-step explanation:

1 is bigger than a quarter.

To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:

Step 1: Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1

Step 2: Combine like terms on both sides of the equation:
2w = -2

Step 3: Solve for w by dividing both sides of the equation by 2:
w = -1

Therefore, the solution for w is -1.

In HTML format, the answer would be:

<p>To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:</p>
<ol>
<li>Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1</li>
<li>Combine like terms on both sides of the equation:
2w = -2</li>
<li>Solve for w by dividing both sides of the equation by 2:
w = -1</li>
</ol>
<p>Therefore, the solution for w is -1.</p>

Know more about equations

https://brainly.com/question/22688504

#SPJ11

The formula\(perimeter = 2 * sqrt(d1^2 + d2^2)\) gives the perimeter of a rhombus in terms of its diagonals.

If you are given only the diagonals of a rhombus and you need to find its perimeter, you can use the following formula:

\(perimeter = 2 * square root( diagonal1^2 + diagonal2^2 )\)

where diagonal1 and diagonal2 are the lengths of the two diagonals of the rhombus.

To see why this formula works, let's first recall some properties of a rhombus. A rhombus is a four-sided polygon with all sides equal in length. Its opposite sides are parallel and its diagonals bisect each other at right angles. Therefore, the diagonals of a rhombus divide it into four congruent right triangles.

Now, let's draw a rhombus and label its diagonals as d1 and d2:

      A

     / \

    /   \

 D /     \ B

  /   R   \

 /         \

/____d2_____\

C      d1     E

Using the Pythagorean theorem, we can find the length of each side of the rhombus in terms of its diagonals:

AB = AE = (d1 / 2)   (since AB and AE are half of d1)

BC = CD = (d2 / 2)   (since BC and CD are half of d2)

Now, we can find the perimeter of the rhombus by adding up the lengths of its sides:

perimeter = AB + BC + CD + DE

         = (d1 / 2) + (d2 / 2) + (d2 / 2) + (d1 / 2)

         = d1 + d2

However, we can also express AB, BC, and CD in terms of d1 and d2, and use the Pythagorean theorem to simplify the expression:

AB = AE = sqrt((d1/2)^2 + (d2/2)^2)   (using the Pythagorean theorem)

BC = CD = AB   (since all sides of the rhombus are equal)

Substituting these expressions into the perimeter formula, we get:

perimeter = 2 * (AB + BC)

         = 2 * (sqrt((d1/2)^2 + (d2/2)^2) + AB)

         = 2 * sqrt((d1/2)^2 + (d2/2)^2 + AB^2)

         = 2 * sqrt((d1^2 + d2^2) / 4 + (d1^2 + d2^2) / 4)

         = 2 * sqrt(d1^2 + d2^2)

Therefore, the formula perimeter = 2 * sqrt(d1^2 + d2^2) gives the perimeter of a rhombus in terms of its diagonals.

Learn more about rhombus here:

https://brainly.com/question/27870968

#SPJ11

it is not possible for a continuous function to be concave up and always negative.

To see why, note that a concave up function is one whose second derivative is positive. So we need to find a function whose second derivative is positive and is always negative.

However, if a function is always negative, then its values are always less than or equal to zero. This means that its second derivative must be non-positive, since the second derivative measures the rate at which the function's slope is changing.

Now suppose that we have a function f(x) that is concave up and always negative. Since f(x) is always negative, we have f(x) < 0 for all x. But since f(x) is concave up, its second derivative f''(x) is positive. This means that f(x) is increasing, and in particular, as x goes to infinity, f(x) must approach a limit. But since f(x) is always negative, its limit as x goes to infinity must be nonpositive. This is a contradiction, since a concave up function that is always negative cannot have a nonpositive limit at infinity.

Therefore, it is not possible for a continuous function to be concave up and always negative.

To know more about function check the below link:

https://brainly.com/question/25638609

#SPJ4

Answer:

its 84 but tysm thats so sweet

Step-by-step explanation:

Answer:

\(\boxed{84}\)

Step-by-step explanation:

\(12 \times 7 = 84\)

Have a great day or night!

Only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

The second-order homogeneous linear differential equation is given as:y'' - 9y' + 18y = 0This differential equation is a linear homogeneous equation. We will have two roots of the characteristic equation: r1 = 3, r2 = 6So, the general solution to the differential equation is given as:y = c1e3x + c2e6xwhere c1 and c2 are arbitrary constants.a. y(x) = e6x is a solution because it is a part of the general solution of the differential equation.y(x) = e−x, y(x) = 0, y(x) = 6x, y(x) = 3x, y(x) = ex are not solutions because they don't satisfy the differential equation. Hence, the correct options are:a. y(x) = e6xTherefore, only one of the following functions is a solution of the differential equation y′′−9y′+18y=0.

Learn more about diffential equation here,

https://brainly.com/question/28099315

#SPJ11

━━━━━━━☆☆━━━━━━━

▹ Answer

30 miles

▹ Step-by-Step Explanation

Multiply mph by hours:

15 mph * 2 hrs = 30 miles

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

The compound interest on birr 5006 at 5% for 4 years compounded annually​ is $1,078.82.

Compound interest is a type of interest that is calculated not only on the initial principal amount but also on the accumulated interest of previous periods.

In other words, the interest earned during each period is added to the principal amount, and the interest for the next period is calculated on the sum of the principal and the accumulated interest.

Given that:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^(nt)

A = 5,006(1 + 0.05/1)^(1*4)

A = 5,006(1 + 0.05)^(4)

A = $6,084.82

Compound interest =Amount - Principal

Compound interest = 6084.82 - 5006

Compound interest = $1,078.82

Therefore, The total amount accrued, principal plus interest, with compound interest on a principal of $5,006.00 at a rate of 5% per year compounded 1 time per year over 4 years is $6,084.82.

Learn more about compound interest here:

https://brainly.com/question/28020457

#SPJ1

The probability of winning the prize if you switch is 2/3.

When you initially choose a box, there is a 1/3 chance that the prize is in your chosen box and a 2/3 chance that it is in one of the other two boxes.

When the dealer opens one of the other two boxes and shows it to be empty, the probability that the prize is in the remaining unopened box is still 2/3.

This is because the dealer has effectively given you new information that eliminates one of the two boxes you did not choose, but does not affect the probability distribution of the prize in the remaining two boxes.

Thus, if you switch to the other unopened box, you have a 2/3 chance of winning the prize, whereas if you stick with your original box, you have only a 1/3 chance of winning. Therefore, it is advantageous to switch.

To learn more about switch, click here:

https://brainly.com/question/9431503

#SPJ11

Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

Read more about T-tests on:

https://brainly.com/question/6501190

#SPJ4

To estimate the absolute error in approximating tan(0.56) using the 2nd-order Taylor polynomial centered at 0, we need the remainder term expression.

In Taylor series approximation, the remainder term represents the difference between the actual value of a function and its approximation using a truncated Taylor polynomial. It helps estimate the absolute error of the approximation.

The remainder term for the 2nd-order Taylor polynomial centered at 0 is given by the formula: Rn(x) = f'''(c) * (x - a)^n / (n+1)!, where f'''(c) represents the third derivative of the function at some point c between 0 and 0.56.

To estimate the absolute error in approximating tan(0.56) using the 2nd-order Taylor polynomial, we need the value of the third derivative of the tangent function and the point c between 0 and 0.56 at which we evaluate it. Without this information, we cannot calculate the exact value of the remaining term or the absolute error.

To obtain an estimate of the absolute error, we would need to evaluate the remainder term at a specific value of c and substitute it into the expression. Without the given value of c or the third derivative of the tangent function, we cannot provide a numerical estimation of the absolute error in this case.

Learn more about polynomial

brainly.com/question/25566088

#SPJ11

Therefore, the numerator of the given equation comes out to be 4x+6

A fraction denotes a component of a whole or, more generally, any number of equal parts. In conversational English, a fraction, such as one-half, eight-fifths, or three-quarters, denotes the quantity of a specific size of portions.

Given

\(\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}\)

A common denominator must exist for the fractions before we can add them.

Factor the denominator of the first fraction

\(\frac{x}{(x+1) (x+2)} + \frac{3}{x+1}\)

Subtract (x + 2) from the second fraction's numerator and denominator.

\(\frac{x}{(x+1) (x+2)} + \frac{3(x+2)}{(x+2)(x+1)}\)  ← Currently, fractions share a common denominator.

Add the numerators leaving the denominators

= \(\frac{(x+2)(x+3)}{(x+2)(x+1)}\)  

= \(\frac{x^{2} +3x+6}{(x+2)(x+1)}\)

=  \(\frac{4x+6}{(x+2)(x+1)}\)

simplified sum with numerator 4x + 6

Therefore the numerator of the given equation comes out to be 4x+6.

To know more about fractions , visit

https://brainly.com/question/11947917

#SPJ1

Answer:

the second one (the one on the bottom)

Step-by-step explanation:

An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.

Answer:

Step-by-step explanation:

(1/6)(1/6)=1/36

2.777 rounded to 2.8%

Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

For more questions on Response variable

https://brainly.com/question/29806029

#SPJ4

Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

To learn more about energy consumption, visit:

brainly.com/question/15503216

#SPJ4

Answer:

y = 16

Step-by-step explanation:

From the pattern in the table we can see that x to the power of two results in y (2.5 x 2.5 = 6.25, 9.4 x 9.4 = 88.36, etc.) This means that 4 x 4 = 16, which is the value of y.

Answer:

16

Step-by-step explanation:

Plato/Edmentum

Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

It is accurate to say that Jayla biked the same speed but in the opposite direction as Sarah and Justin if they all cover the same distance at a given time.

Speed is used to measure the rate at which an object moves. The speed is based in the distance covered and the time used.

An individual may bike the same speed but in different direction if the time and distance covered is the same. But when there is a disparity, it not safe to say they run or bike the same speed.

To know if the bike the same speed, both Jayla, Sarah and Justin speed should be computed.

Therefore, It is accurate to say that Jayla biked the same speed but in the opposite direction as Sarah and Justin if they all cover the same distance at a given time.

Learn more on speed below

https://brainly.com/question/4931057

#SPJ1

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

the answer is number 2

Step-by-step explanation:

hope this helps u

Answer:

C. Ry-axis(x, y) = (-x, y)

Step-by-step explanation:

Answer: D. Rx-axis (x, y) = (x, -y)

Step-by-step explanation:

A (-3, 5)  --> A' (-3, -5)

B (2, 8)  --> B' (2, -8)

C (-4, -5)   --> C' (-4, 5)

Hope this helped!

The equation of the line is: y = 0.05x + 0.1.

A linear equation written in slope-intercept form is y = mx + b, where slope or unit rate is m, and y-intercept or starting value is b.

From the information given, we can derive the two points (3, 0.25) and (13, 0.75) if:

x = year

y = price per pound of apples

Find the slope (m) of the equation:

Slope (m) = change in y / change in x = 0.75 - 0.25 / 13 - 3

Slope (m) = 0.5 / 10

m = 0.05

Find y-intercept (b) by substituting m = 0.05 and (x, y) = (3, 0.25) into y = mx + b:

0.25 = 0.05(3) + b

0.25 = 0.15 + b

0.25 - 0.15 = b

b = 0.1

To write the linear equation, substitute m = 0.05 and b = 0.1 into y = mx + b:

y = 0.05x + 0.1

Learn more about the linear equation on:

https://brainly.com/question/1884491

#SPJ1

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

To learn more about marginal tax refer to:

https://brainly.com/question/29029623

#SPJ1

Answer:

0.125

Step-by-step explanation:

first we have to make it to where 1/8 can fit into 100

1/8 x 100/100 equals 100/800

now times 100/800 by 8/8 and get 1/8 or 0.125

The volume of the cube with a side length of 5 millimeters is 125,000 cubic millimeters. The new function for the volume of the cube with cubic millimeters as the unit is v(x) =

\(1000x^3\)

To convert from cubic centimeters to cubic millimeters, we need to multiply by 1000 (since 1 cubic centimeter = 1000 cubic millimeters). Therefore, the new function v(x) multiplies the original function V(x) by 1000.

For example, if we want to find the volume of a cube with a side length of 5 millimeters, we can use the new function v(x) as follows: v(5) =

\(1000(5^3)\)

= 1000(125)

= 125,000 cubic millimeters.

To convert a function from cubic centimeters to cubic millimeters, we need to multiply the function by 1000. The new function for the volume of a cube in cubic millimeters is v(x) =

\(1000x^3\)

Learn more about cubic centimeters here:

https://brainly.com/question/16670888

#SPJ4

Therefore, the due date of the note is August 9 adding the number of days in the note's term to the note's date adding the number of days in the note's term to the note's date.

To determine the due date of the note, we need to add the number of days in the note's term to the note's date.

Given:

Note term: 120 days

Note date: April 9

To find the due date, we add 120 days to April 9.

April has 30 days, so we can calculate the due date as follows:

April 9 + 120 days = April 9 + 4 months = August 9

To know more about due date,

https://brainly.com/question/32249563

#SPJ11