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
omeli [17]
2 years ago
12

The functions g and h are given by g(x) = x + 1 and h(x) = x²

Mathematics
1 answer:
Delvig [45]2 years ago
5 0

Answer:

x = - \frac{3}{2} , x = 2

Step-by-step explanation:

To find h(g(x)) substitute x = g(x) into h(x) , that is

h(g(x))

= h(x + 1)

= (x + 1)²

= x² + 2x + 1

For h(g(x)) = 3x² + x - 5 , then

3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

2x² - x - 6 = 0 ← in standard form

(2x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

x - 2 = 0 ⇒ x = 2

You might be interested in
6 feet<br> 12 feet<br> What is the area of the given composite shape?
Reika [66]

Answer:

choice A; 128.52 square feet

Step-by-step explanation:

This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.

The formula for area of a circle is \pi*r^{2}. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.

Since pi is infinite we round it to 3.14.

Plug in the values and our expression will be (3.14*6^{2})/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.

Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.

3 0
2 years ago
HELP!!! ANSWER QUICKLY PLS!!! <br><br> (dont worry about the purple dot)
OverLord2011 [107]
The answer is b cause none of x is the same number
8 0
3 years ago
Find the value of x and y in the parallelogram below.
sashaice [31]

Answer:

x = 18°

y = 6

Step-by-step explanation:

in a parallelogram:

Any two opposite sides are congruent

and any two opposites angles are congruent:

then

y + 4 = 10

and 3x = 54

then

y = 6

and x =  54/3 = 18

8 0
2 years ago
Read 2 more answers
At 7:00 am, the temperature was -4℉. At 9:00 am, it was 8° warmer. What was the temperature at 9:00 am? *
Nana76 [90]

<em>4℉.</em>

What we know about Degrees is that there is a<em> </em><u><em>Positive</em></u> type and a <u><em>negative</em></u> type.

(i.e: 30℉ is <u><em>positive</em></u> and -30℉ is <u><em>negative</em></u>.)

If the temperature was -4℉ at 7AM, then it is negative. If it goes up by an amount that is more than 4 then that negative will go up to a positive temperature. In this case: At 9AM it was 8° <u><em>warmer</em></u>.

<u><em>Warmer</em></u><em> is a </em><u><em>keyword</em></u><u>.</u> If it is warmer by an amount, Negative temperatures <u><em>will go up to a positive</em></u> and positive temperature <u><em>will just go up</em></u>. If it gets cooler, negative temperatures <u><em>will go down further</em></u> and positive temperatures <u><em>will go down to a negative</em></u>.

So lets work out this problem with our newfound knowledge.

-4° F at 7AM

8°  warmer at 9AM

-4 + 8 = 4.

<em>The temperature was 4°  at 9AM.</em>

-Snooky

8 0
3 years ago
1. Given a regular octagon, find the measures of the angles formed by (a) two consecutive radii and (b) a
Fed [463]
A ) The angle formed by 2 consecutive radii:
Ф= 360° : 8 = 45°
b ) The angle formed by a radius and a side of a polygon:
α = (180° - 45°): 2 = 135° : 2 = 67.5°
Answer:
B ) 45°, 67.5°
4 0
3 years ago
Other questions:
  • An animal shelter houses dogs, cats, and rabbits. there are 126 animals at the shelter. of the animals, 1/3 are cats. three four
    8·1 answer
  • Explain your reasoning as you compare the values of a^n and a^-n when n&lt;0 brainly
    10·1 answer
  • Points J and Klie in plane H.<br> ow many lines can be drawn through points J and K
    14·1 answer
  • “calculate the value of x”
    7·1 answer
  • 0.96 in fraction form
    12·1 answer
  • Northridge Middle School collected 5,022 cans a food for food drive. Each of the 18 home collected the same number of cans. Abou
    13·1 answer
  • Can you help me plot my points on my 4 quadrant graph
    13·1 answer
  • Since beth was born, the population of her town has increased at a rate of 850 people per year. On beth 9ths birthday, the total
    6·2 answers
  • Please help will mark brainiest
    9·1 answer
  • Hi would really appreciate the help asap love u all &lt;3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!