Mathematics High School

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

Solve for the values of x:

(2x-1)(x+4) = 0

Answers

Step-by-step explanation:

x = -4, 1/2 is the value of x

The values of x that satisfy the equation (2x - 1)(x + 4) = 0 are

x = 1/2 and x = -4.

Here, we have,

To solve for the values of x in the equation (2x - 1)(x + 4) = 0, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor equal to zero and solve for x:

2x - 1 = 0

Adding 1 to both sides:

2x = 1

Dividing both sides by 2:

x = 1/2

x + 4 = 0

Subtracting 4 from both sides:

x = -4

Therefore, the values of x that satisfy the equation (2x - 1)(x + 4) = 0 are x = 1/2 and x = -4.

To learn more on equation click:

https://brainly.com/question/14468218

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I need to find x and I can’t find it someone pls help me
Find X

Answers

Answer:  y = 23        x = 28

Step-by-step explanation:

First find the value of y.

The angle (5y -4)  and 3y forms a straight line which means that if you add them together they will equal 180 degrees.  Add them and set them equation to 180 to solve for y.

5y-4 + 3y = 180  

8y -4 = 180

    +4    +4

  8y = 184

 y= 23  

Since y is equal to 23, then input y into the expression  (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.

5(23) - 4

115 - 4 = 111

111 + (2x + 13) = 180  

124 + 2x = 180  

-124           -124

 2x = 56

x = 28  

x is equal to 28 degrees.  

Check.

111 + 2(28) + 13 = 180

 111 + 56 + 13 = 180

     180 = 180

Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?

Answers

Answer:

2:3

Step-by-step explanation:

Answer:

2-3

Step-by-step explanation:

need help with this thanks!

Answers

Answer:  The middle school has 652 students.

Step-by-step explanation:  Divide the number of student in the high school by 4.5

[tex]\frac{2934}{4.5}[/tex] = 652

Please help me out please!

Answers

Answer:

-1.86

Step-by-step explanation:

1.86 is half of 3.72, and when you divide a negative with a positive, you get a negative.

Answer:

-1.86

Step-by-step explanation:

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

Please explain this!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

SCORATIC THE APP WILL GIVE YOU ALL ANSWERS

Step-by-step explanation:

What is 39% of 198? Percantage

Answers

Answer:

39% of 198 = 77.22

Have a nice day.

Answer:77.22Step-by-step explanation:

1: Calculate the percentage of a number.

For example: 39% of 198 = 77.22

2: Calculate a percentage based on 2 numbers.

For example: 77.22/198 = 39%

hope this help!

!!!PLEASE SOMEONE HELP ANSWER THIS QUICK!!!
9. ∠DEF and ∠FEG are complementary. m∠DEF = (3x − 4)°, and m∠FEG = (5x + 6)°.
Find the measures of both angles.

Answers

Answer:

29°61°

Step-by-step explanation:

Complementary angles are two angles that add up to be 90 degrees.

We can write an equation and solve for x.

(3x - 4) + (5x + 6) = 90

~Combine like terms

8x + 2 = 90

~Subtract 2 to both sides

8x = 88

~Divide 8 to both sides

x = 11

Angle DEF:

3x − 4

3(11) - 4

33 - 4

29°

Angle FEG:

5x + 6

5(11) + 6

55 + 6

61°

Check:

29 + 61 = 90°

Best of Luck!

Given the quadrilateral ABCD, what is the length of diagonal AC?

A 16/2
B 8/2
C 13
D 4/2
Square roots by the way

Answers

Answer: a

Step-by-step explanation:

Blake looks at his checking account balance regularly. His three lowest balances during the year are as given.

−$20<−$12<−$3

Select from the drop-down menus to correctly complete the statement.

The inequality statement shows that −$20 is a
lower
balance than −$12, and −$12 is a
lower
balance than −$3.

Answers

Answer:

that is correct for both questions the answer is lower

Step-by-step explanation:

Answer:

lower for both

Step-by-step explanation:

SOMEONE PLS HELP FAST PLS WITH SMALL EXPLINATION PLS

Answers

Answer:

bro easy D just follow the steps of the equation step by step

explanation:

Convert 8/25 to a percent

Answers

Answer:

32%

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100

======================================================================

When you enter 8/25 into the above formula, you get (8/25)*100 which calculates to:

32%

I will give Brainliest to whoever can answer this!

Which number line can you use to simplify 2-(-8)?

Answers

Answer:

its clearly B because you change the first sign ( from - to +) so it ia 2 + then also change the next sign ( from - to +) so now it becomes 2 + 8.

Step-by-step explanation:

Answer:

B.  2+(8)=10

Step-by-step explanation:

you can rewright a prob to simplify

the product of 120 and b is equal to 312
Write the sentence as an equation.

Answers

Answer:

120 + b = 312

Step-by-step explanation:

...

equation not in slope intercept form. 3y=9x-24

Answers

i think this is what your asking

Someone please help me out and give me the explanation!!


2(x+3=3(x-4)

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
The Answer is X = 18

Tell me about something you love! It could be a special interest, game, book, person, movie, etc.. Just ramble.


(i just wanted to give people a chance to talk about their interests)​

Answers

I love my bf and my dog❣️

i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!

simplify 12*3/12*7 QUICK PLEASE

Answers

Answer:

12*3/12*7= 3/7

Step-by-step explanation:

make it braintliest please

Your birthday was this week and you are heading to the mall to spend your birthday money! You are planning to
spend at least $150 but no more than $200. You are looking to buy some pairs of shoes (s) that cost $50 each.
How many video games you can buy with your birthday money?
Solution: You can buy between
and
pairs of shoes with your birthday money,

Answers

Answer:

how much do the video games cost

Step-by-step explanation:

How many solutions y=5x-4 y=5x-5

Answers

Answer:

No solution

Step-by-step explanation:

Any equations with the same slope are parallel, or will never intersect.

In a slope-intercept equation, this would mean the 'm' values are the same.

y = mx + b

Two equations:

y = 5x - 4

y = 5x - 5

Since the two equations given have the same slope, they will never intercept and therefore have no solution.

10. Which list shows these numbers in order from least to greatest?
7.-3.17, 153, -29
PLZ I NEED HLP

Answers

From least to greatest the numbers are:
-29, -3.17, and 153.

hopefully that helps, there was no image attached, so can’t tell you which list it is :)

Answer:

-29, -3.17, 153

Step-by-step explanation:

in order from least to greatest this is the list.

-29 is the number farthest below zero, and 153 is the number farthest above zero.

I WILL GIVE BRAINLIEST I REALLY NEED HELP!!!:(

Answers

Answer:

Questions aren't listed

Step-by-step explanation:

Can someone please tell me the answer to this problem?

2/9b=1/3b-7

Answers

Answer:

b=63

Step-by-step explanation:

2/9b=1/3b-7

sub 1/3 from each side

-1/9b=-7

them multiply both sides by -9/7

Write an expression for the sentence: Joe has $12 and he earns $8 per hour

Answers

Answer:

12+8x ugh I gotta type some more bcuz it has to be 12 characters lol

....................solve for x, 3+xc=d

Answers

Answer:

[tex]\displaystyle x=\frac{d-3}{c}[/tex]

Step-by-step explanation:

Equation solving

To solve an equation for a specific variable requires isolating the variable by performing the adequate algebraic operations.

Solve for x:

[tex]3+xc=d[/tex]

Subtract 3:

[tex]xc=d-3[/tex]

Divide by c:

[tex]\boxed{\displaystyle x=\frac{d-3}{c}}[/tex]

Can someone help me with this please!? its urgent!
Thank you who helped :)

Question: Explain how you would find the measure of the angle indicated.

Answers

Answer:

x=11 qqqqgugug

Step-by-step explanation:

I'm nerdy

Answer:

37 degrees

Step-by-step explanation:

All insides of triangles = 180 degrees, so...

67 degrees + 76 degrees + (x + 48) degrees = 180

67 + 76 + (x + 48) = 180

143 + x + 48 = 180

191 + x = 180

x = -11

x + 48

-11 + 48

37 degrees

If wrapping paper comes in packages of 300 cm2. How many packages will Sally need?

Answers

Answer:

she needs 3 packages

Step-by-step explanation:

the total area of the cd is 27 cm

so like

she needs to wrap 27 cm of area

because 0.5 cm by 14 cm by 12.5 cm added all together is 27

then

27 cm equals 10.6 inches

so now we need to find how many 300cm2 will fit into that 11 inch space

There are 0.00107639 square feet in a square centimeter.

but we want to know how many feet not square feet

0.00107639 × 27 =

0.02906253

2.906253

there are 2.906253 feet per suare foot

so 2.9 rounded up is 3

she needs 3 packages

Find x.
(4x + 16)
(2x + 34)
A. X = 9
B. X= 52
C. X = 21.7
D. X = 25

Answers

Answer:

A. x=9

Step-by-step explanation:

4x+16=2x+34

-2x       -2x

2x+16=34

-16       -16

2x=18

÷2    ÷2

x=9

I think the answer would be x=9:)

how many timescas thick as the oceans epipelagic zone is the hadalpelgic zone... work or explanaion please..

epipelagic-0 km
hadalpelagic- -6 km

Answers

flip your chicken strips! hadalpealic - -6 km and dp
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