The functions g and h are given by g(x) = x + 1 and h(x) = x²
Find the values of x for which hg(x) = 3x² + x - 5

Answers

Answer 1

Answer:

x = - [tex]\frac{3}{2}[/tex] , 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 = - [tex]\frac{3}{2}[/tex]

x - 2 = 0 ⇒ x = 2


Related Questions

What is the answer, What is mCD?

Answers

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works

7/8m= -14 solve using the multiplicative interverse​

Answers

Answer: m=-16

Step-by-step explanation:

Combine multiplied terms into a single fraction, Multiply all terms by the same value to eliminate fraction denominators and Simplify.

An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?

Answers

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

what is the sum of the exterior angles of regular 24-gon

Answers

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

h=20

i=75

g=55

Step-by-step explanation:

20 is equal to h

75 is equal to i

g looks like its in the middle of them so you would subtract the two and be left with 55

g=55

im not the best at math so im sorry if its wrong.

Answer:

H= 20

I= 75

G= 20

Step-by-step explanation:

3/5b + (-1/2) = 1/4
solve for the variable.

Answers

Answer:

Step-by-step explanation:

(3b)/5-1/2=1/4

(3b)/5=1/4+1/2

(3b)/5=1/4+(1/2)(2/2)

(3b)/5=1/4+2/4

(3b)/5=3/4

3b=15/4

b=5/4

b=1.25


A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.


A. 5,410
B. 569
C. 52,043
D. 572

Answers

Answer:  B)  569 feet

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

If 1 sec = 5 dots how many dots will there be in 20 secs

Answers

5*20=100, the answer would be 100 dots

A triangle with base 8.2 cm and height 5.1 cm has an area of.

Answers

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?

Answers

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

Plss help !!!!!!!!!!!!!!!!

Answers

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?

Answers

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

HELPPPPPP
MEEEE PLEASE

Answers

Answer:

yse

Step-by-step explanation:

bakit ano ang maitotolong

GIVING BRAINLIEST!
What is the slope of the positive graph?

Answers

Answer:

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!

Answers

The coordinates of B would be (-1, -3)

The answer to this problem

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer:

p ≥ − 9

Step-by-step explanation:

what is the 11.2???

Select 3 side lengths that can form a right triangle.

Answers

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

Edit: I had to change cause it was wrong

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

16 squared = 256

63 squared = 3969

16 squared + 63 squared = 4225

65 squared = 4225

A^2 +B^2 = C^2

I NEED THE ANSWERS ASAP PLEASE HELP!!!!!

Answers

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

If x+3/3 = y+2/2, then x/3 = ______

Answers

X+1=y+1

X-Y= 0

Hope this helped you

find the area of the triangle​

Answers

Answer:

area = ½bh

= 1/2×11× 15

= 82.5 Square inches

82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5

A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag

Answers

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?

Answers

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm

Answers

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

help asap pls i’ll give brainlist!

Answers

Step-by-step explanation:

50

Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}

Answers

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

58cm

Step-by-step explanation:

15+14+5+8+6=48

missing side = 15-5 =10

48+10=58

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569

Answers

Answer:

bad expression

Step-by-step explanation:

13251+3032−8569=7714

Mr. Green baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Green bake?

Answers

Answer:

20

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

I WILL DO ANYTHING JUST PLEASE

Answers

Answer:

95 0r 91

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

trust me

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

-64

Step-by-step explanation:

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