the function g is defined by the following rule g(x)=4x-5

Answer:

[tex]\boxed{\bold{2y^2-4y-24}}[/tex]

Step By Step Explanation:

Expand [tex]\bold{3\left(2y-8\right): \ 6y-24}[/tex]

[tex]\bold{6y-24-2y\left(5-y\right)}[/tex]

Expand [tex]\bold{-2y\left(5-y\right): \ -10y+2y^2}[/tex]

[tex]\bold{6y-24-10y+2y^2}[/tex]

Simplify [tex]\bold{6y-24-10y+2y^2}[/tex]

[tex]\bold{2y^2-4y-24}[/tex]

red triangle

hypotenuse is the longest side of the right triangle; the opposite of the right angle

Answer:

m = -3/4

Step-by-step explanation:

We can see two points : (0,1) and (4,-2).

Then we find the change of Y/change of X.

This comes out to -3/4, which is the second answer choice.

Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

Answer:

[tex]x^2-9[/tex]

Step-by-step explanation:

We are given the following expression and we are to divide it:

[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]

We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].

Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.

So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].

To create a word problem for the equation '1/2 x + 6 = 81', we can imagine a student earning points on a quiz and receiving additional points, with the task to find out how many points they initially earned.

To create a word problem for the equation 1/2 x + 6 = 81, we can consider a real-world scenario. Imagine that a teacher tells a student that they will receive double the number of points they earn on a special quiz and an additional 6 points for their efforts in the classroom. The total points would then put their score at 81 points for the semester. The question is, how many points did the student earn on the special quiz?

To solve the problem, we follow these steps:

The student earned 150 points on the special quiz before the additional points were added.

Answer: Choice B

Step-by-step explanation:

In order to solve for the amount of commission you need to multiply the amount of the sale times the 5% commission rate.

$600 x .05 = $30

Answer:

9

Step-by-step explanation:

"For each nickel, she has one dime"

That means she has the same number of nickels and dimes.

"for each dime she has one quarter"

That means she has the same number of quarters and dimes.

She has the same number of each coin.

Let's say she has x coins of each type.

The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth

0.05x + 0.10x + 0.25x

We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.

0.05x + 0.10x + 0.25x = 1.20

0.40x = 1.20

x = 1.20/0.40

x = 3

She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.

Dawn has a total of 9 coins, which include 3 nickels, 3 dimes, and 3 quarters.

The subject of this question is a math problem involving counting coins. In this scenario, dawn has a total of $1.20 in nickels, dimes, and quarters. And the number of nickels, dimes and quarters are equal since for every nickel Dawn has, she also has a dime and a quarter.

Now, the value of a nickel is $0.05, a dime is $0.10 and a quarter is $0.25. So, the total value of a nickel, a dime and a quarter is $0.40. Therefore, since the total amount of money she has is $1.20, we divide that amount by the total value of each group of coins: $1.20 / $0.40 gives us 3.

So Dawn has 3 nickels, 3 dimes, and 3 quarters, for a total of 9 coins.

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Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. ...

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction. ...

Set the two products equal to each other. ...

Solve for the variable.

Answer:

Cross multiplying is literally what you do multiplying diagonally.

Step-by-step explanation:

Here you would multiply 12 by 100% and x by 10.

We convert the percents into decimals first.

So 12 * 1 = 12 and x * 0.1 = x/10

So x/10 = 12

Then we multiply each side by 10.

x = 120.

President Reagan order the CIA to recruit the Contras because of option (c) He thought they were necessary to oust a Communist-leaning government in Nicaragua.

Reagan revolution is defined as the era which is basically referring to the changes that happened America during the reign of the president Ronald Reagan.

Reagan, when ruling had many policies that no other ruler before made into the rule.

Some of his policies includes decreasing the income taxes for the people, decreasing the the budget of government, maintenance of low rate of interest, and the other elimination of useless programs.

Along with this, he aims to eliminate the communism globally.

Nicaragua was a region which was highly affected with communism.

The contras' were the one opposing the communism in Nicaragua.

So CIA assisted this contras along with other anti communist causes under the name Reagan Doctrine.

Hence option c is correct.

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Using the intersecting chord theorem:

(6 * 1) = (2*x)

Simplify:

6 = 2x

Divide both sides by 2:

x = 6/2

x = 3

Answer:

x = 3

Step-by-step explanation:

You have to use the Intersecting Cord Theorem

(6 * 1) = 2x

multiply what's in the parenthesis

6 = 2x

divide 2 from both sides

3 = x

Answer:

916 in.

Step-by-step explanation:

Step by Step.

5*10 = 50, and 50*2 = 100

10*4 = 40, and 40 * 2 = 80

(4*6)/2 = 12, and 12 * 2 = 24

10*10 = 100, and 100 * 2 = 200

16*16 = 256, and 256 * 2 = 512

Adding this together, we get: 916 inches.

Answer:

D is the answer

Step-by-step explanation:

This question requires a calculator

The formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]

The formula is given as:

P = I^2R

To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.

So, we have:

I^2 = P/R

Take the square root of both sides

[tex]I = \sqrt{\frac PR}[/tex]

Hence, the formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]

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The formula for I in terms of P and R is 2) I = [tex]\sqrt ( PR)[/tex]

How to rewrite the formula for I

The formula is given as:

[tex]P = I^2R[/tex]

To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.

So, we have:

[tex]I^2 = P/R[/tex]

Take the square root of both sides

[tex]I = \sqrt( PR)[/tex]

Hence, the formula for I in terms of P and R is 2)  [tex]I = \sqrt (PR)[/tex]

Answer:

[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];

Step-by-step explanation:

The given linear function is;

[tex]f(x)=-5x-9[/tex]

Let [tex]y=-5x-9[/tex];

Interchange [tex]x[/tex] and [tex]y[/tex] to get;

[tex]x=-5y-9[/tex];

Solve for [tex]y[/tex].

[tex]x+9=-5y[/tex]

Divide both sides by -5

[tex]\frac{x+9}{-5}=y[/tex];

This implies that;

[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];

Answer:

f⁻¹(x) =  -(x+9) / 5

Step-by-step explanation:

We have given a function.

f(x) = -5x -9

We have to find inverse of given function.

Let y = f(x)

y = -5x-9

Solving above equation for x, we have

x = -(y+9) / 5

Putting x = f⁻¹(y) in above equation ,we have

f⁻¹(y) =  -(y+9) / 5

Replacing y by x, we have

f⁻¹(x) =  -(x+9) / 5 which is the answer.

Answer:

0.23

Step-by-step explanation:

The first spot to the right of the decimal is the tenths place. Ex. .0

The second spot to the right of the decimal is the hundredths place. Ex. .00

The third spot to the right of the decimal is the thousandths place. Ex. .000

Since you are trying to round to the nearest hundredth you look at the thousandths place. If it is 5 or higher you round up. If it is under 5 you round down.

0.232

Since the 2 is the thousandths place the hundredths stays the same and you drop the thousandths place.

0.23

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

Answer:

6050 sq ft (or you could write 6050ft and a little two at the top right next to it at the end)

Step-by-step explanation:

To find the area of something, you must multiply length x width, so in this situation, you would multiply

110 x 55

that would equal 6,050

Answer: Option A; cos(28°) = 15/17

Step-by-step explanation:

You must remember that for a triangle rectangle we have that:

Sin( angle) = (opposite cathetus)/hypotenuse

cos(angle) = (adjacent cathetus)/hypotenuse

tan(angle) = (opposite cathetus)/(adjacent cathetus)

We want to find the cos(28°), then we can use the second relation, where the adjacent cathetus is 15 units long, and the hypotenuse is 17 units.

cos(28°) = 15/17

Then the correct option is A.

The value of cos(28) = 15/17.

Based on the diagram, the cosine of angle 28 degrees can be determined using the given information. In a right triangle, cosine is defined as the ratio of the length of the adjacent side to the hypotenuse.

Given that the base of the triangle is 15 units and the hypotenuse is 17 units, we can conclude that the adjacent side is the base. Therefore, the adjacent side has a length of 15 units.

Now, we can apply the cosine formula: cos(angle) = adjacent/hypotenuse. Plugging in the values, we have cos(28) = 15/17.

Hence, the cosine of angle 28 degrees, with a base of 15 units and a hypotenuse of 17 units, is approximately 0.882.

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Answer:

15[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}[/tex]

Answer:

A segment

Step-by-step explanation:

A line is a straight path that is infinitely long.  

A line segment is a section of a line. It consists of two points, which mark the beginning and the end of the segment, and all points in between.

In the diagram, the segment consists of the points A and B and all the points between them.

The line itself extends infinitely both  left and right.

A line segment is the part of a line that encompasses two points and every point between them. It is defined by its extremities, and its characteristic property is that for any three distinct points on it, one must lie between the other two.

The part of a line that contains two points and all other points between them is known as a line segment. Essentially, if you have two points, A and B, the line segment AB includes every point that lies between point A and point B on the straight line that passes through them both. This is captured in geometry by saying that A and B are the extremities of the segment AB and any point C that lies between A and B is part of that segment.

Important properties of a line segment:

If A and C are points on a straight line, there will always be at least one point B such that B lies between A and C.

For any three points situated on a straight line, one of them will always be between the other two.

If four points are considered, they can be arranged in such a way that one of them invariably lies between any two others.

Skewed right, if its data is mostly on the left it’s skewed right, if it’s data is mostly on the right it’s skewed left

Answer: skewed right

Step-by-step explanation:

Answer:

C. 40

Step-by-step explanation:

There are 3 sectors that are labeled five, which is out of 12. So the chance of landing on one of it is 3/12, or 1/4.

So, a reasonable estimate is that out of 150 spins, 1/4 of them will land on five. The number of spins can be found out by multiplying 150 by 1/4. 150 * 1/4 is equal to 37.5, which is about 40.

Answer:

The aqnswer is 30

Step-by-step explanation:

the answer is 30

Answer:

r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)

Step-by-step explanation:

Answer:

What is the equation of the line parallel to the given line with an x-intercept of 4?

y = 4 x +  -16

Step-by-step explanation:

The resulting equation is y = x - 4.

Firstly, a line that is parallel to another line has the same slope. Since the given line is in the form y = mx + b, we need the slope (m) from this equation. Let's assume it is y = x + c, then the slope (m) is 1 since no explicit value is provided for c.

Next, we need the equation of a new line that has the same slope (which is 1) and an x-intercept of 4. An x-intercept of 4 means the line passes through the point (4, 0).

Therefore, the equation of the line parallel to the given one with an x-intercept of 4 is y = x - 4.

Simplify √-y to √yi

3+ 2y = √yi

Square bot sides

(3 + 2y)^2 = -y

Expand

9 + 12y + 4y^2 = -y

Move all terms to one side

9 + 12y + 4y^2 + y = 0

Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2

9 + 13y + 4y^2 = 0

Split the second term in 9 + 13y + 4y^2 into two terms

4y^2 + 9y + 4y + 9 = 0

Factor out common terms in the first two terms, then in the last two terms

y(4y + 9) + (4y + 9) = 0

Factor out the common term 4y + 9

(4y + 9)(y + 1) = 0

Solve for y

y = -9/4, -1

Check solution

when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.

Therefore,

y = -1

Answer:

Equation: [tex]600=\frac{20b)}{2}[/tex]

Base: 60 feet.

Step-by-step explanation:

The formula for calculate the area of a triangle is:

[tex]A=\frac{bh}{2}[/tex]

Where:

A: is the area of the triangle.

b: is the base of the triangle.

h: is the heigth of the triangle.

Knowing the area of the triangle and its height, you can write the equation:

[tex]600=\frac{20b}{2}[/tex]

Where b is the base in feet of the A-frame house.

To solve it:

Multiply both sides of the equation by 2.

Divide both sides of the equation by 20.

Then:

[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]

The base of the A-frame house is 60 feet.

-3 + 1 = -2

8 + 2 = 10

-2/10 = -1/5

Answer = -1/5

The slope of the line through the points (2, 1) and (8, 3) is calculated using the slope formula and is -1/5.

To find the slope of a line passing through two points, you will need to use the slope formula, which is:

(change in y) / (change in x)or (y2 - y1) / (x2 - x1).

For the points given (–2, –1) and (8, –3), you would calculate the slope as follows:

Slope (m) = (-3 - (-1)) / (8 - (-2)) = (-3 + 1) / (8 + 2) = (-2) / (10) = -1/5.

So, the slope of the line through the points (–2, –1) and (8, –3) is -1/5.

[tex]12 \div 3 = 4[/tex]

so

[tex]x = 20 \div 4[/tex]

x = 5

Answer:

x = 5

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{3}{12}[/tex] = [tex]\frac{x}{20}[/tex] ( cross- multiply )

12x = 60 ( divide both sides by 12 )

x = 5

Answer:

N, the verticle lines are are parallel

Step-by-step explanation:

Answer:

N

Step-by-step explanation:

Note to the wise:  It's letter, not leffer.  

Only N has 2 parallel lines.

Answer:

2 Cups of water

Step-by-step explanation:

To find the amount of water that Arjun will need to make 3 pancakes for each family member in a family of 6, we first need to know what our current ratio of pancake mix to water is.

2/3 water : 1 pancake mix = 6 to 7 pancakes

Now we need to know how much pancakes Arjun needs to make.

6 family members

3 pancakes each

So we multiply the number of family members to the number of pancakes each

Total number of pancakes = 6 x 3

Total number of pancakes = 18

So we need at least 18 pancakes for the family to have 3 pancakes each.

Since we know that the combination of water and pancake mix will make around 6 to 7 pancakes, we simply multiply the entire amount by 3.

2/3 (3) : 1 (3) = 6 (3) to 7 (3)

2 Cups of water : 3 pancake mix = 18 to 21 Pancakes

With a combination of 2 cups of water and 3 pancake mix. We will get 18 to 21 pancakes.

So Arjun will need 2 cups of water to get 18 to 21 pancakes for the family of 6.