1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
11

F(x) = 2x + 4 g(x) = x – 7 h(x) = 9 – x Find f(g(x))=

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:   2x^{2} - 10x -28

Step-by-step explanation:

We know that f(x) = 2x +4     and g(x) = x -7    so to find f(g(x)) multiply them.

(2x + 4)(x-7)      Apply the distributive property twice

2x(x-7)

2x^2 - 14x  

4(x-7)  = 4x - 28  

2x^2 - 14x + 4x -28

2x^2 -10x - 28

You might be interested in
Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

7 0
3 years ago
What is this
allsm [11]

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?
Aneli [31]
There are 10 deciliters in 1 liter (deci means 10).

Divide 5.25 by 10 to find how many liters are needed.

5.25/10 = 0.525

0.525 liters of milk are needed for the cake.
3 0
3 years ago
The length of a screw produced by a machine is normally distributed with a mean of 0.65 inches and a standard deviation of 0.01
Makovka662 [10]
Notice it is +/-4 times standard deviation (0.65-0.04 = 0.61, 0.69-0.04=0.65)

That's almost everything. So (D) is the answer.
<span>99.993666</span>%
3 0
3 years ago
Read 2 more answers
Please help ill give BRAINLIST
hram777 [196]

Answer:

A and B is the correct answer

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find the surface area of the cube shown below 2 1/2
    5·1 answer
  • I already filled in the table but I’m not sure what to put as the answer
    8·1 answer
  • Help!
    5·1 answer
  • I need help with my math
    5·1 answer
  • I don't understand how to do this. Can someone help?
    10·1 answer
  • Currently, you're working as a cashier at the grocery store. Your hourly wage is $11.55. If you earned $1074.15 over a two-week
    8·2 answers
  • These Are the answer choices:<br><br>A.) 343 <br><br>B.) 342 <br><br>C.) 432<br><br>D.) 677<br><br>​
    10·1 answer
  • Please help me<br> Expressions
    6·1 answer
  • What is the answer???
    6·1 answer
  • Find the measure of L
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!