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2 years ago

If f(x) = 2x² + 5 and g(x) = x² - 2, find

Mathematics

1 answer:

IgorLugansk [536]2 years ago

4 0

Answer:

C. x² + 7

Step-by-step explanation:

If f(x) = 2x² + 5 and g(x) = x² - 2, then

(f - g)(x) = f(x) - g(x)

= (2x² + 5) - (x² - 2)

= 2x² + 5 - x² + 2

= 2x² - x² + 5 + 2

= x² + 7

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What is the next number in the sequence? 7….10….16….28…

Dahasolnce [82]

Observe the pattern it follows:

7....10....16......28

3. 6. 12

The numbers added each time are doubled as you can see.

therefore:

7.....10.....16.....28......52

 3. 6. 12. 24

Hope that helped you!

6 0

2 years ago

Look at the following relation. What is the domain and range?

mylen [45]

Answer & Step-by-step explanation:

The domain is the input, and the range is the output.

The domain is also known as the x values and the output as the y values (x,y).

So:

domain: {4, -1, 0, 2}

range: {-4, 3, 5, 8}

:Done

8 0

3 years ago

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p

boyakko [2]

Answer:

large: 40 lbs
small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

L + S = 60 . . . . . . combined weight is 60 lbs

70L +60S = 4000 . . . . weight of boxes in the truck

We can solve this by substituting for s in the second equation.

70L +60(60 -L) = 4000

10L = 400 . . . . . . . . . subtract 3600, simplify

L = 40

S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0

2 years ago

tell me you love me pls i need sum luv i spents alot of time doing this im doing another one but 100 pts

Anestetic [448]

Answer:

I love you and i'm proud of you :)

8 0

2 years ago

Jenny says the two expressions 7a – 4 + 3a - 6 and 4a – 10 are equivalent? Is she correct?

dusya [7]

Yes, substitute a=2.
14 - 4 + 6 - 6 = -2
8 - 10 = -2

5 0

3 years ago