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
lakkis [162]
3 years ago
7

If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

You might be interested in
There are 20 juice cups and each juice cup holds 10 fluid ounces. the juice comes in 1 gallon bottles. how many 1 gallon bottles
Andru [333]
20 times 10=200 fluid ounces

128 fluid ounces per gallon
1 gallon is too little
2 gallons is to much
but  you can't buy 1 and 72/100 of a bottle so just buy 2

2 bottles
6 0
2 years ago
Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden. Zaid agreed to construct 20% more of
likoan [24]

Answer:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

Step-by-step explanation:

For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft

We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:

1.2x +x =792

2.2x =792

And we got finally:

x =\frac{792}{2.2}= 360 ft

And the amount for Zaid would be 1.2*360 ft= 432ft

So then Zaid construc 432 ft and Matias 360 ft

7 0
3 years ago
Which statement is true about the equations-3x 4y 12 and tx 1?
nydimaria [60]

We need to solve -3x+4y=12 for x

Let's start by adding -4y to both sides

-3x+4y-4y=12-4y

-3x=-4y+12

x = (-4y+12)/-3

x= 4/3 y -4

Now substitute 4/3 y -4 for x in 1/4 x - 1/3 y =1

1/4 x -1/3 y =1

1/4 (4/3 y -4) -1/3 y =1

Use the distributive property

(1/4)(4/3 y) + (1/4)(-4) -1/3 y =1

1/3 y -1 - 1/3 y =1

Now combine like terms

(1/3y -1/3y) + (-1) =1

= -1

-1 = 1

Now add 1 to both sides

0=2

So there are no Solutions

The answer is C


I hope that's help Will :)

7 0
3 years ago
THERE ARE 120 CHOCOLATES AND SOME BOXES. EACH BOX HOLDS 9 CHOCOLATES. WHAT IS THE LEAST AMOUNT OF BOXES THAT WILL BE NEEDED ?​
mojhsa [17]

Answer: 13

Step-by-step explanation:

first divide and then it comes out 13 then check your math so then it puts 120 its correct

8 0
2 years ago
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–
neonofarm [45]

The answer would be (-3+18) + (i +5i)


This is because changing the order of the numbers does not change the sum

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is lcm of 20 and 26
    12·2 answers
  • Help plz show work asap!!!!!!
    6·1 answer
  • What is the slope of the line that passes through the points
    6·1 answer
  • In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase
    7·1 answer
  • Can you help me? I don't understand this
    11·1 answer
  • I Need help pls pls pls
    13·2 answers
  • Classify each triangle by side length and angle measure.
    11·1 answer
  • Can someone help me with this please !!
    5·1 answer
  • What is the answer to this question
    7·1 answer
  • I need help with this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!