Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))

Answers

Answer 1

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3


Related Questions

1/5 + 2/3

9/13 - 5/13

1/4 + 1/2

2/9 + 5/6

11/12 - 4/6

8/3 + 2/4

4/5 + 6/30


Answers

Answer:

1. 13/15

2. 4/13

3. 3/4

4. 1 1/18

5. 1/4

6. 3 1/6

7. 1

Step-by-step explanation:

i will use the last one as an example, first reduce, so you would find the common denominator, in this case its 6, so you simplify 6/30 to 1/5. then you have 4/5+1/5, so since u have the same denominator, you can add the two numerators above the common denominator, so it would look like 4+1/5. then add the numbers. so you are left with 5/5 which in other words is 1. i hope this helps!

answers look at the photo, hope it helps

Pleaseeeeeee help
I literally have no idea what to do

Answers

Answer:

1. x=π/6+πn, 5π/6+πn

2. x=2π/3+2πn, 4π/3+2πn, π+2πn

3. x=5π/6+πn, 5π/3+πn

4. 2+√3

5. -(√(2-√3))/2

Please help me the picture is above I’ll mark as the brainliest, please just edit and write on the picture above and send it. Tank you. :)

Answers

Answer:

function is a parabola, with a lowest point of -4

Step-by-step explanation:

g(x)=x^-4

g(-3)= -3^2-4 = 9-4 = 5

g(-2)= -2^2-4 = 4-4 = 0

g(-1)= -1^2-4 = 1-4 = -3

g(0)= 0^2-4 = 0-4 = -4

g(1)= 1^2-4 = 1-4 = -3

g(2)= 2^2-4 = 4-4 = 0

g(3)= 3^2-4 = 9-4 = 5

Using the graph, determine the coordinate of the y-intercept of the parabola.

Answers

Answer:

(0,8)

Step-by-step explanation:

The parabola intercepts at 8 on the y axis, and since the interception has zero x value, x=0.

The graph the coordinate of the y-intercept of the parabola is (0, 8).

What is Intercept?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

Given:

From the parabolic graph we can see that the intersecting point (0, 8)

Now, the y- intercept is the point in the vertical axis.

As, from the graph the coordinate of the y-intercept of the parabola is (0, 8)

Learn more about intercept here:

https://brainly.com/question/14180189

#SPJ2

Which term does not represent the same data as the others?

range
output
x-value
second element

Answers

Answer: x-value

Step-by-step explanation:

the x-value is the input, domain and 1st element.

Answer:

x-value

Step-by-step explanation:

0(1234+ 556 +780 x 4859/8393 + 83931) =

Answers

Answer:

I'm pretty sure its 0...since anything multiplied by zero is 0

what is
5y+3=4y+8=146

Answers

Answer: y=15

Step-by-step explanation:

Solution for (5y+3)+(4y+8)=146 equation:

Simplifying

(5y + 3) + (4y + 8) = 146

Reorder the terms:

(3 + 5y) + (4y + 8) = 146

Remove parenthesis around (3 + 5y)

3 + 5y + (4y + 8) = 146

Reorder the terms:

3 + 5y + (8 + 4y) = 146

Remove parenthesis around (8 + 4y)

3 + 5y + 8 + 4y = 146

Reorder the terms:

3 + 8 + 5y + 4y = 146

Combine like terms: 3 + 8 = 11

11 + 5y + 4y = 146

Combine like terms: 5y + 4y = 9y

11 + 9y = 146

Solving

11 + 9y = 146

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 9y = 146 + -11

Combine like terms: 11 + -11 = 0

0 + 9y = 146 + -11

9y = 146 + -11

Combine like terms: 146 + -11 = 135

9y = 135

Divide each side by '9'.

y = 15

I HAVE 2 MIN PLEASE HELP ME PLEASE

Answers

Answer:

The answer is -91.  7 times -13 is -91.

MARK ME BRAINLIEST!!

Which behavior would be unethical
A a regular hotel receives his favorite window table even though another reserved it
B a hotel has overbooked and made alternate for some of their confirmed guest
C a hotel offers discount rates in the off season
D a hotel offers different rates to corporate guest and individuals

Answers

a hotel offers discount rates in the off season so the answer is C.

If y varies directly as x and y = 8 when x = 2, then does y = 3 when x = 12

Answers

Answer:

the initial statement is

y

x

to convert to an equation multiply by k the constant

of variation

y

=

k

x

to find k use the given condition

y

=

3

when

x

=

2

y

=

k

x

k

=

y

x

=

3

2

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

y

=

3

2

x

2

2

−−−−−−−−−−−−

when

x

=

8

then

y

=

3

2

1

×

8

4

=

3

×

4

=

12

Step-by-step explanation:


Question 7 (1 point)
Maria has a bank containing nickels, dimes, and quarters. In all there are 22 coins totaling $2.55. The number of dimes is 4 less than the
number of nickels and quarters combined. Find the number of nickels, dimes, and quarters in Maria's bank. Type your answer in that order
using numbers only.
x= number of nickels
y number of dimes
z = number of quarters
Blank 1:
Blank 2:
Blank 3:

Question 8 (1 point)
Suppose you invested $5000 in three different funds for one year. The funds paid simple interest of 8%, 10%, and 7% respectively. The total
interest at the end of the year was $405. You invested $500 more at 10% than 8%. How much did you invest in the 10% fund?
x= money invested in 8% fund
y-money invested in 10% fund

Answers

Answer:

answer for 8 is 1500

Step-by-step explanation:

Evaluate the function for the given value.
h(a) = 3a + 3
Find h(7).

Answers

3(7)+3
21+3
Answer
h(7)=24

Answer:

h(7) = 24

Step-by-step explanation:

Hi there !

h(a) = 3a + 3

replace a = 7

h(7) = 3×7 + 3

= 21 + 3

= 24

Good luck !

Write each decimal as a mixed number in simplest form.
6. 3.6

7. 10.4

8. 2.11

Answers

Answer:

3 and 3/5

10 and 2/5

2 and 11/10

Step-by-step explanation:

1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.

Answers

Answer:

correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum doesn’t terminate or repeat

Which of the following are true statements about any regular polygon? Check all that apply.​

Answers

Answer:

A regular polygon has these characteristics:

3 or more sidesClosed shape

A polygon can not have one or two sides because that would be a line. It must have more than three sides, or else it is not a polygon.

A polygon is always a closed shape - it can not be an open shape or else it would not be a polygon, it would be considered an outline.

Hope this helps you!

Answer:

the picture below should help

A yellowfin tuna weighs about 380 pounds. A bluefin tuna weighs 620 about pounds. If one fish of each species were caught per​ day, about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week? Solve the problem two different ways.

Answers

Answer:

1680 pounds

Step-by-step explanation:

Given that :

Weight of yellow fin tuna = 380 pounds

Weight of bluefin tuna = 620 pounds

If one fish of each species were caught per day

about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a​ week?

Total pound of bluefin tuna caught in a week:

7 * 620 = 4340

Total pound of yellow tuna caught in a week:

7 * 380 = 2660

(4340 - 2660) = 1680 pounds

Which of the following real numbers is NOT and irrational number?

A 35
B 51
C 29
D 49

Answers

Answer:

B

Step-by-step explanation:

cause i said so

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought? A.3h−2≤14 B.3h+2≤14 C.3h−2≥14 D.3h+2≥14

Answers

Answer:

D. 3h + 2 ≥ 14

Step-by-step explanation:

Cost of Bottle water = $2

Cost of Hot dogs = $3

Number of hot dogs bought = h

Total cost of hot dogs = price × quantity

= 3 * h

= 3h

Jeff did not spend more than $14

Total cost of bottle water and hot dogs

3h + 2 ≥14

The correct answer is D

D. 3h + 2 ≥ 14

first person who answer correctly gets a brainllest The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8?

Answers

Answer:

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

Answer:

im sorry this doesn't help but its not d

Step-by-step explanatio

i will give u brainliest

Answers

Answer:

≈ 7.35

The square root of 54 is close to 7.

7 squared = 49 and that is close to 54, but the square root of 54 is slightly larger

how are unit rates and equivalent ratios realted?​

Answers

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

For the dilation with center​ (0,0) shown on the​ graph, your friend says the scale factor is 5/2 . What is the correct scale​ factor? What mistake did your friend likely​ make?

Correct answer i know is 2/5, what did the friend do though? here are the choices
A.
Your friend found the ratio between​ non-corresponding sides.
B.
Your friend found the ratio between two sides of the image triangle.
C.
Your friend found the scale factor that enlarges to triangle abc to triangle a'b'c'
D.
Your friend found the ratio between two sides of the original triangle.

Answers

Answer:

i think its b

Step-by-step explanation: if its wrong im sorry its been a while sense i did this

GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!

Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?

O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.​

Answers

Answer:

The coupon raised the cost per issue by $0.67.​

Step-by-step explanation:

The answer is D, the coupon raised the cost per issue by $0.67

the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation​

Answers

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

I hope it’s clear enough but can some please help

Answers

Answer:

b

Step-by-step explanation:

hope this helps you! have a good day!

What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? (1 point)

Answers

The solution to the problem is 16.

first, you must set up the equation.

[tex]4^4*\frac{4^3}{4^5}[/tex]

Then, simplify exponents.

256*[tex]\frac{64}{1024}[/tex]

Next, simplify the equation.

16

please can someone smart help me,please do not answer if you dont know the answer,also answer all these questions please:).

Answers

Answer:

Number 7: 22.10 divided by 2.6 = 8.5  or 8.50 (depending on what your teacher prefers.

Step-by-step explanation:

Not sure about question 2 or 10

what is the squared root of 64?

Answers

Answer:

8

Step-by-step explanation:

Answer:

the square root is 8

Step-by-step explanation:

In the Everglades National Park in Florida, there are 200 species of birds that migrate. This accounts for !" of all the species of birds sighted in the park. A. Write an equation to find the number of species of birds that have been sighted in Everglades National Park. B. There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park? Explain.

Answers

Answer:

A)[tex]\frac{4}{7} y = 200[/tex]

B) There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

Step-by-step explanation:

Total number of species of birds that migrate = 200

We are given that [tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park

a)Write an equation to find the number of species of birds that have been sighted in Everglades National Park.

Let y be the number of species of birds that have been sighted in Everglades National Park.

We are given that[tex]\frac{4}{7}[/tex] of all the species of birds are sighted in the park

So,  [tex]\frac{4}{7} y = 200[/tex]

[tex]y = \frac{200 \times 7}{4}[/tex]

y=280

B)There are 600 species of plants in Everglades National Park. Are there more species of birds or plants in the park?

So, There are more species of plants as the number of species of birds that have been sighted in Everglades National Park is 280

Answer:

the one at the bottom

Step-by-step explanation:

3/2 times 1/4 times 5/3

Answers

Answer:

5/8

Step-by-step explanation:

Take it step by step if you have trouble.

DM me on discord at BLAƆK PIΩK#6762 for math tutor

$15/hour

[tex]\frac{3}{2} * \frac{1}{4} =\frac{3}{8}[/tex]

[tex]\frac{3}{8} *\frac{5}{3} =\frac{15}{24}[/tex]

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