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
salantis [7]
3 years ago
15

Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest

form. a. 4h(x) b. f(x) - g(x) c. f(g(x)) d. g(x)h(x) e. g(x) / f(x)
Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

You might be interested in
URGENT!!! Find the rectangular coordinates of the point with the polar coordinates.
abruzzese [7]

we have that

(r, ∅)----------> (-7, 5 pi/3)

we know that

5 pi/3--------> 300°-----------> -60°

To convert polar cordinates in rectangular one with use the following formula:

x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2

y=r*sin ∅-------> y=-7*sin -60------->  y=-7*(-√3)/2----> y=7√3/2

the answer is the option

D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2

7 0
3 years ago
Need help with this!!!
fomenos

Answer:

A

(hg)( x)=(4x-3)(x+2)=4x²+5x-6

6 0
3 years ago
the length of a rectangle is 5 inches more than the width the perimeter is 70 inches what is the length
nadezda [96]

The sum of length and width is half the perimeter, so is (70 in)/2 = 35 in. Since this is the sum of length and width, if we add 5 inches, it will be twice the length. That is ...

... length + width = 35 in

... length + (width + 5 in) = (35 in) + (5 in)

... 2×length = (35 in) + (5 in) = 40 in


The length of the rectangle is 20 inches.

4 0
3 years ago
Read 2 more answers
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
kari74 [83]

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, <em>x:</em>

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }

\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }

c = 12.2 mi

Therefore, x = 12.2 mi

5 0
2 years ago
Read 2 more answers
Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cu
worty [1.4K]

Answer:

Total = 3\frac{1}{5}ft

Step-by-step explanation:

Given

Pieces = 4

Size = \frac{4}{5}ft

Required

Determine the total size of the string

To do this, we multiply the number of pieces by the length of each piece.

Total = Pieces * Size

Total = 4 * \frac{4}{5}ft

Total = \frac{4 * 4}{5}ft

Total = \frac{16}{5}ft

Convert to mixed number

Total = 3\frac{1}{5}ft

5 0
2 years ago
Other questions:
  • If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY? A) 120° B) 130° C) 140° D) 150°
    13·1 answer
  • If x = 3, calculate the value of : x cubed + x
    15·1 answer
  • Which equation represents a line that has a slope of 1/3 and passes through point (–2, 1)?
    12·1 answer
  • What is 55 divided by 11 + 7 x(2+14)
    8·1 answer
  • Help ASAP pleaseee lol
    15·1 answer
  • Which best describes the data set below?
    15·1 answer
  • A2. Find y' and y" for y^2 = x^2<br>+ sinxy
    12·1 answer
  • Here's another math question for y'all​
    8·2 answers
  • I need to find the area
    10·1 answer
  • Find the slope of every line that is parallel to line on the graph (0,-3) (5,-4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!