For functions f and g defined by f(x) = x² + 7 and g(x) = x - 3, what is the value of f(g(5))?

Answer:

y = -1/7x + 4

Step-by-step explanation:

(3-5)/(7-(-7)) = -2/14 = -1/7

3 = -1/7(7) + b

3 = -1 + b

b = 4

Step-by-step explanation:

12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

12x > 18x - 42

42 > 6x

7 > x

so, this is true for all values < 7

so, x is in (-infinity, 7)

both ends but included - therefore the round brackets.

Answer:

look below

Step-by-step explanation:

going left and right changes the x( first number in each parentheses)

going up and down changes the y (second number in parentheses)

going to the left by 9 means all the first numbers are going in the negative direction (-9)

going up by 12 means the second numbers are going in the positive direction (+12)

take all x values and add -9, take all y values and add 12

X (-15, 13)

Y(-5,12)

Z(-8, 15)

Option A represents a integer

Hope it helps u

Answer:

B

Step-by-step explanation:

Answer:

11.11%

Step-by-step explanation:

6/54 x 100

=11.11

Answer:

C

Step-by-step explanation:

because it's less than or equal too

Answer:

to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?

to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?

Step-by-step explanation:

Answer:

2x^2-10x+3

4x-10x+3

-6x+3

Step-by-step explanation:

Answer: 65x + 325y = 550

Answer:

Its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

the way i do it is, i think of it as Find _ and look for _. Then u count to where it starts and ends. If that doesnt help then let me know and ill explain something else.

Answer:

Step-by-step explanation:

-1/2x-3

=-1/2x+-3

=-1/2x-3

Answer:

120

Step-by-step explanation:

Because it’s congruent to the other angle

Answer:

What can I do for you?

Step-by-step explanation:

Answer:

x=24°

Step-by-step explanation:

(3x-6)°+x°= 90°

4x=90+6

4x= 96°

x= 24°

Answer:

Step-by-step explanation:

(3x-6)°+x°=90°

First, combine like terms:

3x°+x°-6°=90°

4x°-6°=90°

Add 6° to both sides:

4x°=96°

Divide 4 from both sides to isolate x:

x=24°

Check your answer:

3(24)-6+(24)=90°

72-6+24=90°

66+24=90°

90°=90° (correct)

Answer:

d- (x+8)(x−4)

Step-by-step explanation:

Hi there!

Factored form of a quadratic equation: [tex]y=(x-r)(x-s)[/tex] where r and s are the zeros of the quadratic

We're given that the zeros are -8 and 4. Plug these into the factored form equation:

[tex]y=(x-(-8))(x-4)\\y=(x+8)(x-4)[/tex]

I hope this helps!

Answer:

a c and e

Step-by-step explanation:

Answer:

208 miles

Step-by-step explanation:

8 hours multiplied by 26 miles per hour would be 208 miles

Answer:

first change 8 hours int

Answer:

the answer: 56.25 percent of 80

Answer:

2x+3y+z

Step-by-step explanation:

There are no like terms. This equation cannot be simplified.

Answer:

There would be 2,120 dollars in that account

Answer:

Step-by-step explanation:

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

A = 5,000 (1 - 0.03/1)^(1)12)

A = 5,000 (1 - 0.03)^2

A = 5,000 (0.9)^2

A = $5,314.06

= kx. where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.

Simply so, which graph represents an equation in the form y KX?

Slope of y = kx Theorem The graph of the direct-variation function with equation y = kx has constant slope k. Now solve this system of equations for k. So by the definition of slope, k is the slope of the line through these points. Thus, k is the slope of the line with equation y = kx.

Also, which statement is always true about the graph of an equation in the form y KX Y KX? The equation y = kx is a proportional graph. It means that you multiply x by a number and you have k. The point (0, 0) will always be on the graph, because no matter what K is, if you are multiplying by 0 for x, you will get 0 for y.

Secondly, what is Y KX called?

In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. In this function, m (or k) is called the constant of proportionality or the constant of variation.

What is direct variation?

Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

Answer:

The will have the same amount $ 387

Step-by-step explanation:

Grayson: y = 19x + 45

Jacob: y = 16x + 90

Grayson: y = 19(18) + 45

342 + 45 = $387

Jacob: y = 16(18) + 90

288 + 90 = $378

Answer:

Step-by-step explanation:

It's less than because if u use the calculator with√10 it will show 3.162277660168 which is less than 5

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\overline 3[/tex] gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

[tex]0.\overline 6[/tex] cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

[tex]Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12[/tex]

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0.[tex]\mathbf{\overline 3}[/tex] gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × [tex]0.\overline 6[/tex] = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

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