Given the following functions, find g(f(x)). f(x) = 2x + 1 g(x) = x2 + 6​

Answer:

Step-by-step explanation:

Step 1:

17 - 9 + 3

Step 2:

8 + 3

Answer:

11

Absolute Value turns everything positive.

Hope This Helps :)

Answer:

the letter best represents -15.

b - -0.1525

f - 9/5

a - -1/5

Answer:

Step-by-step explanation:

$12.84/6 = $2.14 per ounce

Answer:

B. The absolute value parent function

Step-by-step explanation:

[tex]f(x)=|x|[/tex]

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

[tex]|0|=0\\|3|=3\\|-3|=3[/tex]

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

Steps to solve:

4x + 6 = 10 - 4

~Simplify

4x + 6 = 6

~Subtract 6 to both sides

4x = 0

~Divide 4 to both sides

x = 0

Best of Luck!

Answer:

[tex]\large\boxed{x = 0}[/tex]

Step-by-step explanation:

4x + 6 = 10 - 4

Subtract 10 - 4

4x + 6 = 6

Subtract 6 from both sides of the equation

4x = 0

Divide both sides of the equation by 4

[tex]\large\boxed{x = 0}[/tex]

Hope this helps :)

Answer and Step-by-step explanation: Midpoint is the middle point in a segment line, i.e., it is at the center of a segment line.

On a baseball field, distance between home plate and second base is 127.28ft. The midpoint will be:

midpoint = [tex]\frac{127.28}{2}[/tex]

midpoint = 63.64ft

To be the midpoint, pitcher's mount must be 63.64ft away from the home plate. Since it's less than that, pitcher's mount is not the midpoint between home plate and second base.

Answer:

1 inch/hr

Step-by-step explanation:

Rate of growing of weed mile-a-minute = 2 ft per day

To find:

Rate of growth of weed in inches per hour ?

Solution:

First of all, let us have a look at the following units conversion:

1 ft contains 12 inches

and 1 day is equal to 24 hours.

Rate of growth of weed is Length divided by number of days.

2 ft per day means Length of 2ft divided by 1 day.

i.e.

[tex]\dfrac{2\ ft}{1\ day}[/tex]

Let us put the units for conversion as discussed above:

[tex]\dfrac{2\times 12\ inches}{24\ hours}\\\Rightarrow \dfrac{24\ inch}{24\ hours}\\\Rightarrow \bold{1\ inches/hr}[/tex]

So, the answer is: 1 inch/hour

Answer:

1.37 * 10^10 years.

Step-by-step explanation:

Billion = 9 zeroes

13.7 billion = 13.7 * 10^9 = 1.37 * 10^10.

Answer:

2x +  y = 11

a² + b = 9

Step-by-step explanation:

I solved these by using order of operations and subsitution.

Answer: A) a number is negative

Step-by-step explanation:

A conditional statement is written as:

If P, then Q.

Where P is the hypothesis and Q the conclusion.

In this case, we have:

If a number is negative, then the number is less than zero.

then we have:

P = a number is negative.

Q = the number is less than zero.

Then the hypothesis will be "a number is negative"

The correct option is A.

Answer:

number is negative

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

10 × 8 × x = 400

Step 2:

80 × x = 400

Step 3:

x = 400 ÷ 80

Answer:

x = 5

Hope This Helps :)

The equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.

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 three figures are shown in the picture.

After analysis:

2(3) + 1  = 7

2(4) + 1  = 9

2(5) + 1  = 11

The standard form:

y = 2(x+2) + 1

y = 2x + 4 + 1

y = 2x + 5

Thus, the equation that would model the tile pattern above where x represents the figure number and y represents the number of tiles is y = 2x + 5.

Learn more about the linear equation here:

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Subtract the fee from the total:

674 - 299 = 375

Now divide by the cost per square yard:

375 / 15 = 25

The answer is 25 square yards.

Answer:

45 square yards

Step-by-step explanation:

divide 674 by 15

Answer: X = 3

Step-by-step explanation:

3(2-x)=5(2x-7)+ 2

First, distribute

6-3x = 10x -35 + 2

Now subtract and add

6+35-2= 10x-(-3x)

Which gives

39= 13x

X=3

Hope this helps!

Answer:

A: 25/4 B: 17/3

:)))))))))))))))))

Answer:

La opción correcta es;

d) R $ 1.200,00

Step-by-step explanation:

El monto que Joao prestó a José = R $ 1.000,00

La duración del préstamo = 6 meses

El plazo de interés del préstamo = interés simple del 10% por trimestre

La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;

A = P · (1 + r · t)

A = La cantidad que José tiene que pagarle a Joao después de 6 meses

P = La cantidad que Joao prestó a José = R $ 1.000,00

r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)

t = La duración del préstamo = 6 meses

Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;

A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00

El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00

Answer:

900 feet per hour

Step-by-step explanation:

225×4 = 900

15×4=60

the tortoise's rate of speed is 900 feet per hour

hope that helps.

Lets assume someone works 10 hours a day for 5 days a week.

Weekly total:

10 * 7.15 = $71.50 per day

71.5 * 5 = $357.50 per week

There are 52 weeks in a year so we can multiply.

357.50 * 52 = $18,590 per year

This is how you can solve this problem if you are given these details.

Best of Luck!

Answer:

No

Step-by-step explanation:

to form a triangle:a=7 , b=11, c=3

a+b>c                       a+c>b                     b+c>a

7+11>3                       7+3<11                   3+11>7

one condition is not applied, so no

Answer:

2x+8=3x-2

8=x-2  

x=10'

the answer is 10

Step-by-step explanation:

sorry i didnt put an answer at the start

i was in a rush

Answer:

x = -3

y = -6

Step-by-step explanation:

x+y = -11

x-y = 5

x+y+x-y= -6

2x= -6

x = -3

y = -6

Answer:

-3y^8+18y^5+10y is the standard form of the equation. The leading coeficients are -3, 18 and 10

Step-by-step explanation:

The highest power awlays goes at the beginning of the equation. In this situation the highest power is 8, followed by 5 and then by 1. Usually the 1 as a power is not written. The leading coeficients are the numbers infront each term. If there is -4xy, the leading coeficient is -4.

Answer:

6.54

Step-by-step explanation:

you have to add up all of the numbers then divide by how many numbers there are to get the mean

Answer:

6.54

Step-by-step explanation:

Add up all thee numbers:

11+11+5+6+6+11+04+8+2+5+7+9=85

Divide by how many numbers there are:

85/13=6.538

6.54

Answer: P(x) has a constant rate of change, but A(x) does not

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

Just Multiply the numerator and denominator of both fraction with the opposite denominator for the denominators to become the same. Since they have aa common denominator, you can just add the numerators to get 9/14.

The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3

Two ratios form a proportion if the simplified form of both ratios comes out as the same ratio. Suppose that we've got two quantities with measurements as 'a' and 'b' Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

A.) 22/33 and 14/21

Here. the two ratios represent quantities that are proportional to 1/3.

B.) 48/60 and 35/42

Here. the two ratios represent quantities that are not proportional.

C.) 25/28 and 5/7

Here. the two ratios represent quantities that are not proportional.

D.) 16/13 and 13/16

Here. the two ratios represent quantities that are not proportional.

Hence, The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3

Learn more about ratios here:

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Answer:

milk to oil - correctly shows ratio 3:1

Answer:

B 2/7 <3/1

Step-by-step explanation:

Answer:

Step-by-step explits its C.130%anation: