write an equation that is in slope-intercept form for the line that passes through the pair of points: (4, -2) and (8, -6)

Answer:

y = -3x

Step-by-step explanation:

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12

Parallel lines have the same slope, but different y intercepts

In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept

2 is in the place of where the slope would be, so the slope of that line is 2

That means the slope of the line parallel to it would also have a slope of 2

Here is the equation of the parallel line so far:

y=2x+b

We need to find b, the y intercept

Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet

We're given that the new line has the same x intercept as 3x-4y=12

The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0

Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept

3x-4(0)=12

Multiply

3x=12

Divide both sides by 3

x=4

So the value of the x intercept is 4. As a point, it's (4,0)

So now substitute the values of the point (4,0) into y=2x+b to find b

0=2(4)+b

Multiply

0=8+b

Subtract 8 from both sides

-8=b

Substitute -8 as b into the equation

y=2x-8

Hope this helps!  

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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Answer:

The Pythagorean theorem just talks about the connection  between the lengths of the sides of right triangles. Something like that i guess

Step-by-step explanation:

y=-3x+22

I'm typing this because the answer needs to be longer.

Answer:

see below

Step-by-step explanation:

shape LNMP is :

It's important to note that this calculation assumes that the items in each category are distinct and that Soo Jin can select any item from each category without any restrictions or dependencies.

To determine the number of different possible characters Soo Jin can create for the video game, we need to consider the combinations of items from each category.

Let's assume there are n1 items in Category 1, n2 items in Category 2, n3 items in Category 3, and n4 items in Category 4. To find the total number of possible characters, we multiply the number of options in each category:

Total number of characters = n1 * n2 * n3 * n4

For example, if Category 1 has 5 items, Category 2 has 3 items, Category 3 has 2 items, and Category 4 has 4 items, the total number of possible characters would be:

Total number of characters = 5 * 3 * 2 * 4 = 120

So Soo Jin can create 120 different characters by selecting one item from each of the four categories.

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Answer:

x = - 3

Step-by-step explanation:

to find the zeros equate f(x) to zero , that is

(x + 3)(x - 7)(x + 5) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 7 = 0 ⇒ x = 7

x + 5 = 0 ⇒ x = - 5

the zeros are x = - 3, x = 7, x = - 5

the one from the list is x = - 3

Answer:

v ≤  − 1   or  Always true

Step-by-step explanation:

I hope this helps!

Answer:

v ≤  − 1

Step-by-step explanation:

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Answer:

7 feet

Step-by-step explanation:

becuse you do 15-8 and get 7

Answer:

2

Step-by-step explanation:

Let the number be \(x\). Writing an equation in terms of the number, \(x\), gives

\(5x=13x-16\).

Adding \(16\) to both sides gives

\(5x+16=13x\).

Then, subtracting \(5x\) from both sides gives

\(8x=16\),

and dividing by 8 on both sides simplifies to

\(x=2\).

cotθ = 1 / sinθ = 1 / cscθ

The reciprocal trigonometric identities allow us to express one trigonometric function in terms of another. In this case, we want to express cotθ in terms of cscθ.

Recall that cotθ is the ratio of the adjacent side to the opposite side of a right triangle, while cscθ is the reciprocal of the sine function, which is equal to the ratio of the hypotenuse to the opposite side.

To express cotθ in terms of cscθ, we can use the following identity:

cotθ = 1 / tanθ

Since tanθ = sinθ / cosθ, we can substitute sinθ / cosθ for tanθ in the identity:

cotθ = 1 / (sinθ / cosθ)

To simplify further, we can multiply the numerator and denominator by cosθ:

cotθ = cosθ / sinθ

Finally, using the reciprocal property of sine, we can express cotθ in terms of cscθ:

cotθ = 1 / sinθ = 1 / cscθ

Therefore, the expression cotθ can be written as 1 / cscθ.

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It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

Answer:

No

Explanation:

Firstly, observe the function f(x)=-2^x, this function is decreasing and negative (below the x-axis) over its domain.

At the same time, consider the function h(x)=1-x² over the interval 0 ≤ x≤1. this function is decreasing over the said interval. However, it is not negative.

Therefore, a function doesn´t need to be negative over the interval it is decreasing on.

------------------------

Hope it helps...

Have a great day!!

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

Given that,

E(x) = 30

Var(x) = 144

E(y) = ?

Var(y) = 144

Then,

E(10+5X)

To do this, we make use of the following equation

E(ax + by) = a E(x) + b E(y)

E(10+5X) = 10 E(x) + 5 E(y)

E(10+5X) = 10*30 + 5*144

E(10+5X) = 300 + 720

E(10+5X) = 1020

Therefore,

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

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The slope of the line is:

rise/run = 3/4

The line passes through (-2, 3), we start at this point and use the rise and run to find the second point on the line.

The run is 4, so we add 4 to the x-coordinate.

The rise is 3, so we add 3 to the y-coordinate.

We have:

(-2 + 4, 3 + 3) = (2, 6)

We use (-2, 3) and (2, 6) to graph the line.

This is shown below

Answer: wockhardt is good rap

Answer:

115x=y

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

First, let's convert the mixed numbers into improper fractions in an effort to make this problem easier to solve.

-2 1/2 as a mixed number is -5/2 and -1 3/4 as a mixed number is -7/4.

Our problem is now -5/2 - (-7/4).

We still can't solve this because the two fractions do not share a common denominator. 4 can serve as one, so -5/2 with a denominator of 4 would be -10/4.

The problem is now -10/4 - (-7/4).

Two negatives make a positive so the problem can be rewritten as -10/4 + 7/4. The final answer is -3/4.

Answer:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

Step-by-step explanation:

Given

\(Total = 368\)

\(Value = \$28.40\)

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

\(n + d = 368\)

\(1\ nickel = \$0.05\)

\(1\ dime = \$0.10\)

So, the value is:

\(0.05n + 0.10d = 28.40\)

Hence, the linear equations are:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

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86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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Given information: Expected sales revenue = $57756Target labour cost percentage = 18%To find: How much money can you spend on labour that day? Solution: Let's assume the amount that can be spent on labour is x. According to the question, Target labour cost percentage is 18%.

Therefore, the amount that will be spent on labour cost = 18% of expected sales revenue. So, we can write it as:

x = 18% of expected sales revenue orx

= (18/100) × 57756Simplify it

,x = 10396.08 (rounded to two decimal places)Thus, the amount that can be spent on labour that day is $10,396.08.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract.

The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

2x – 3y = 18

2x - 3y = 18

-3y = 18 - 2x

y = (2/3)x - 6

Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.

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Answer:

1/ 6

Step-by-step explanation:

Therefore, the required probability is 1/6.

Answer:

1/6

Step-by-step explanation:

Think of drawing 1 student at a time without replacement.

First drawing:

p(boy) = 6/10

Second drawing:

p(boy) = 5/9

Third drawing:

p(boy) = 4/8

p(3 boys) = 6/10 * 5/9 * 4/8 = 3/5 * 5/9 * 1/2 = 3/18 = 1/6

Answer: 1/6

(a) The number of distinguishable arrangements of the word "acbens" is 180.

(b) The number of distinguishable arrangements of the word "baaben" is 60.

(c) The number of distinguishable arrangements of the word "aabbba" is 15.

(a) The word "acbens" has 6 letters, but two of them ("a" and "b") are repeated. We can use the formula for the number of permutations of n objects with k1, k2, ..., km indistinguishable objects of types 1, 2, ..., m, respectively:

P(n; k1, k2, ..., km) = n! / (k1! k2! ... km!)

For this word, we have k1 = 2 (for the two "a"s) and k2 = 1 (for the "b"). Plugging these values into the formula, we get

P(6; 2, 1) = 6! / (2! 1!) = 360 / 2 = 180

Therefore, there are 180 distinguishable arrangements of the word "acbens."

(b) The word "baaben" also has 6 letters, but this time there are three "a"s and two "b"s. Using the same formula as before, we have k1 = 3 and k2 = 2, so

P(6; 3, 2) = 6! / (3! 2!) = 720 / 12 = 60

Therefore, there are 60 distinguishable arrangements of the word "baaben."

(c) The word "aabbba" has 6 letters, but this time there are four "a"s and two "b"s. Using the same formula as before, we have k1 = 4 and k2 = 2, so

P(6; 4, 2) = 6! / (4! 2!) = 720 / 48 = 15

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Answer:

Step-by-step explanation:

Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:

\(x\sqrt{3}=18\) and

\(x=\frac{18}{\sqrt{3} }\) and rationalizing the denominator,

\(x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}\)

This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get

12√3, the third choice down.

Answer:

The answer is (-4x + 15y - 6xy)

Step-by-step explanation:

(3x + 4y - 3xy + 5x + 3y - 2xy)

= 8x + 7y - 5xy

(2x + y - 3xy + 10x - 9y - 8xy)

= 12x - 8y - 11xy

Now,

(8x + 7y - 5xy) - (12x - 8y - 11xy)

8x + 7y - 5xy - 12x + 8y + 11xy

= -4x + 15y - 6xy

Thus, The answer is (-4x + 15y - 6xy)

Answer:

Step-by-step explanation:

The next (best) step is to divide everything by a.

D is not correct because only bx is divided by a. You cannot neglect to divide -c by a

B will eventually be done in some form but it is much easier to deal with division by a. The way b is done is not correct.

A is completely wrong. It's far to soon to be dealing with square roots.