f(x)=4x+6 and g(x)=1/2*f(x) What is the function rule for function g?

g(x) = _________________ x+ _____________________

-112

1) To solve this expression, let's focus on the order of operations:

2) According to the PEMDAS order, we have:

P ower

E exponent

M multiplication

D division

A addition

S subtraction

So we can solve this way:

Note that we've placed a parenthesis inside just to better visualize it. Since there is a product and a division, we'll start with that.

3) Hence, the answer is -112

The number such that when 3/4of it is added to 3 whole number 1/2 the sum is the same as when 2/3 of it is subtracted from the 6 whole number 1/2 is 36/17

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction, such as the one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A common, vulgar, or simple fraction is one that has a non-zero denominator that is displayed below (or after) the line on which the numerator is shown. Compound fractions, complicated fractions, and the mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

The numerator and denominator of the positive common fractions are both natural integers. The denominator tells how many of those equal parts make up single unit or fraction, whereas the numerator represents the number of equal parts. Since a whole can never be made up of zero parts, denominator cannot be zero.

3/4 of it is added 3 1/2 sum is the same way as when 2/3 of it is subtracted from 6 1/2

The way I see it is

[tex]\frac{3}{4} x+3\frac{1}{2} = 6\frac{1}{2}-\frac{2}{3} x[/tex]

[tex]\frac{17}{12} x= 3[/tex]

[tex]x=\frac{36}{17}[/tex]

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We will say that x is the salary before the raise, to calculate how much the salary grows, we just have to take the given percent from x, in this case, the payment increased by 4% (0.04 expressed in decimal form) then the increased amount would be x times 0.04.

Salary increase = x*0.04 = 0.04x

Adding 0.04 x to the original salary x (before applying the increase) we get the actual monthly salary, $2,496, then we can formulate the following expression:

Current salary = original salary + salary increase

2,496 = x + 0.04x

From this equation, we can solve for x like this:

1. Factoring x on the right side of the equation:

2,496 = x(1+0.04)

2. making the sum inside the parentheses:

2,496 = x*1.04

3. Dividing both sides by 1.04:

2,496 / 1.04 = x * 1.04 / 1.04

2400 = x

x = 2400

Then, Linda was making $2400 before the pay increase

Given the graph, we can find the line of best fit by its definition.

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below ...

e caun use this idea above alongside survey the graph and see which lines fall into place.

By observation,

Answer: Line B is the line of best fit.

nswer:

Explanation:

ere, we want to find the values of x for the function g where there is a local maximum

From what we have in the question, we can see some hills and some valleys

The hills represent the maximum positions while the valleys represent the

The water pressure on a submerged object is given by P = 64d, then the

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

What is a function?

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

given the role as;

P = 64d

Where;

P stands for pounds per square foot of pressure.

d represents the object's depth in feet.

Let's now make the variable "d" the focus of the formula.

The coefficient of the variable "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.

We possess

P/64 = 64d/64

d = P/ 64

P equals 672 pounds per square foot if there is pressure.

When the variable's value is substituted into the formula, we get;

d = P/64

Then,

d = 672/64

Discover the quotient.

d = 10. 5 ft.

The value is 10.5 feet.

Therefore,

a. The answer to the subject of the formula, "d," is d = P/64.

b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.

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Family of lines characteristics

b) 6x + By = 24

find x-intercept

24/6 = 4. = C/A

y= 0

Then ANSWER IS

x- intercept= (4,0)

2nd part

c) Ax - 7y= 21

Find y- intercept

C/B= 21/-7 = -3

Also

x=0

Then. ANSWER IS

y-intercept is = ( 0,-3)

Based on the calculations, the length (L) of this rectangle is equal to 5 feet.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Given the following data:

Area of rectangle, A = 35 square feet.

Width of rectangle, W = (L + 2) feet.

Substituting the given parameters into the formula, we have;

35 = L(L + 2)

35 = L² + 2L

L² + 2L - 35 = 0

Solving the quadratic equation by using the factorization method, we have:

L² + 7L - 5L - 35 = 0

L(L + 7) - 5(L + 7) = 0

(L + 7)(L - 5) = 0

Therefore, the length (L) of this rectangle is equal to 5 feet since the dimension can not be negative.

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ANSWER

EXPLANATION

The volume of a cone is given by:

where r = radius of the base of the cone

h = height of the cone

The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:

Hence, the volume of the cone is:

That is the answer.

The rate of change of y with respect to x for this function is equal to: C. 2.

In Mathematics and Geometry, the rate of change (slope) of any straight line can be determined by using this mathematical equation;

Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope) = rise/run

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the rate of change (slope) of a line, we have the following;

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

Rate of change (slope) = (5 - 1)/(2 - 0)

Rate of change (slope) = 4/2

Rate of change (slope) = 2.

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Answer:

it is a square

Step-by-step explanation:

if you plot the 4 points and find the distance using the distance formula between each point, the distance is 2[tex]\sqrt{13}[/tex] on all 4 sides.

Answer:

Step-by-step explanation:

sorry if it doesnt help

Answer:

Danny spent 41 dollars, and his friends spent 5 dollars

If everyone split everything, each person would have paid $13

You didn't clarify which type of answer you wanted, but I gave the two most logical ones

Step-by-step explanation:

Tickets: 5 * 4 = 20.00

Nachos:2.5*2=   5.00

Cokes:  1.5*4 =   6.00

Candy:  75*4=    3.00

Popcorn: 1*2  =   2.00

Cost at the game: 36.00

Gas bill: 20/4 = 5 dollars per person

Food and gas: 36 + 5 = 41.00

Danny spent 41 dollars, and his friends spent 5 dollars

However, if everyone split everything, each person would have paid $13

The law that was illustrated by the following 0 + 12 m is the same as 12 m is addition of zero.

The addition of zero law can be described as the law that says that whenever a particular number is been added to zero then the result of that addition will be that particular number.

It should be noted that this Identity Law of Addition can be seen in the given example where zero is added to 12m which gives the result of 12m which implies that the particular number 12m is added to zero and it gives the particular number 12m as the answer.

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Answer:

B

Step-by-step explanation:

Percentages represent the fraction over 100.

Answer:

B is the answer

Step-by-step explanation:

The given functions are

r(x) = - 2x - 2

s(x) = x^2 + 2

To find s(r(4)), the first step is to substitute x = - 2x - 2 into s(x) = x^2 + 2. Thus, we have

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

s(r(x) = (- 2x - 2)(- 2x - 2) + 2

s(r(x) = 4x^2 + 4x + 4x + 4 + 2

s(r(x)) = 4x^2 + 8x + 6

Finally, we would substitute x = 4 into s(r(x) = 4x^2 + 8x + 2. Thus, we have

s(r(4)) = 4(4)^2 + 8(4) + 6

s(r(4)) = 64 + 32 + 6

s(r(4)) = 102

NSWER

y = 11

EXPLANATION

wo lines are parallel if they have the same slope and diffenrent y-intercepts.

In this case, we have to write the equation of a line parallel to the line y = 8, which is a line with a slope of 0 - i.e. it is a horizontal line. Therefore, the equation of the line we have to find must have the same form - y equal to a constant. This constant is the y-coordinate of the point where the line must pass through, (-3, 11).

Hence, the equation of the described line is y = 11.

Given equation is,

Then,

So in the first blank, it will be,

And in the second blank it will be,

THE FIRST SHAPE LOOKS LIKE A PARALLELOGRAM IN A PARALLELOGRAM OPPOSITE SIDES ARE EQUAL.

THE LAST SHAPE IS A RECTANGLE OPPOSITE SIDES OF ARECTANGLE ARE EQUAL

FOR THOSE OTHER TWO(TRAPEZIUM AND THE OTHER THEY ARE SHAPED SUCH THAT OPPOSITE SIDES ARE NOT EQUAL.

THE FIRST AND LAST SHAPE BEST FIT AS THE SOLUTION OF THE QUESTION.

Answer:

43.2 inches

Step-by-step explanation:

Hello!

According to the question Miami Beach and similar coastal regions are experiencing sea levels at a rate of 12 inches every five years how many inches will the sea level rise in the next 18 years if this rate remains constant

Firstly find rate per year

In order to find rate per year, divide 12inches by 5

➟ 12/5

➟ 2.4

Lastly Multiply 2.4 by 18

➟ 2.4 • 18

➟ 43.2

So, The sea level rise in the next 18 years is 43.2 inches

Okay, here we have this:

According with the provided info we obtain the following equation:

Let's calculate first the 20% of the initial leval:

Now, let's replace in the equation "v" with 6 to find the estimated time:

And, finally let's clear t:

Finally we obtain that after approximately 84 hours the valium concentration will reach 20% of it's initial level.

Answer:

Find x first.

Since angle EOG = 90°,

x = 90 - 54 = 36°

Angle AOD = angle COB = 156° (vertically opposite angles)

y + 54 + 36 + 2y = 156

3y + 90 = 156

3y = 66

y = 22°

Answer:

102 adults, 165 children

Step-by-step explanation:

Let a be the number of adults, and let c be the number of children. We set up and solve this system of equations:

a + c = 267---------> 7a + 7c = 1869

12a + 7c = 2379------->12a + 7c = 2379

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

5a = 510

a = 102, c = 165

Answer:

Step-by-step explanation:

The answer is they ate 3/17ths each since 15/5 is 3.

Answer:

720

Step-by-step explanation:

Formula: P (n,r) = n! ÷ (n - r)!

n = Total number of objects in a set

r = The number of items you choose

Mark knows the account number includes the numbers 2,3,5,7,8, and 9. There are obviously 6 numbers in total in this set and 6 he must choose in order to have a 6 digit account number, which the problem also directly states he has.

That means P(n,r) = P(6,6)

!/Factorial = Product of all positive numbers less than or equal to the given positive number

Therefore, 6! = 1 x 2 x 3 x 4 x 5 x 6

P (n,r) = P(6,6) = 6! ÷ (6-6)! = 720

Answer:

a) [tex]6x^2 + 17x + 31 + \frac{70}{x-2}[/tex]

Step-by-step explanation:

(see attachments for explanation)

SOLUTION:

If the value of a lies in between - 1 and 1 in the absolute value function y = a|x|, then the graph is farther from the y- axis. This is because the bounding lines of the function are the lines y = x and y = -x. Thus, when a varies from -1 to 1, the graph gets farther from the y-axis.

Final answer ;

2

1) Let's evaluate 1+x+2=5

1+x +2=5 Adding the numbers on the left side

+3 = 5 S subtract 3 from both sides

x = 5-3

x = 2

2) Hence, the answer is x=2

1+ x +2 = 5

1+ 2+ 2 =5

5 = 5 True

Answer:

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