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1 year ago

Write a sum in standard form. A) h(x)+k(x)

Mathematics

1 answer:

denpristay [2]1 year ago

7 0

Answer:

x^2 + 2x - 8

Step-by-step explanation:

h(x) + k(x) = (2x^2 + 5x - 12) + (-x^2 - 3x + 4)

Add Like Terms

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

2x^2 - x^2 = x^2

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

5x - 3x = 2x

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

-12 + 4 = -8

x^2 + 2x - 8

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Two cars leave from a town at the same time traveling in opposite directions. One travels 5 mph faster than the other. In 3 hour

Doss [256]

Let the slower cars speed equal X.

The faster cars speed would be X+5 ( 5 mph faster).

They traveled for 3 hours

Multiply the time of travel by speed to equal the number of miles traveled.

So you have:

3X + 3(X+5) = 267 miles

Simplify the left side:

3X + 3X+15 = 267

Combine like terms:

6x + 15 = 267

Subtract 15 from each side"

6x = 252

Divide each side by 6:

x = 252 / 6

X = 42

The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.

7 0

2 years ago

Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).

spin [16.1K]

Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0

2 years ago

While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its refle

Greeley [361]

Answer:

I would say (2,-9) is her projection

6 0

2 years ago

Sorry for lack of a better picture, I really really need help please!

Black_prince [1.1K]

B. 6.72the answer is B 6.72

4 0

2 years ago

The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choi

mart [117]

Answer:

Conjecture: For every number x, the result of the is 2x

Step-by-step explanation:

First Number: 8

Multiply by 88: $88 * 8 = 704$

Add 88: $704 + 88 = 792$

Divide by 44: $792/44 = 18$

Subtract 2: $18 - 2 = 16$

Second: 10

Multiply by 88: $88 * 10 = 880$

Add 88: $880+88=968$

Divide by 44: $968/44=22$

Subtract 2: $22-2=20$

Third: 5

Multiply by 88: $88*5 = 440$

Add 88: $440+88=528$

Divide by 44: $528/44=12$

Subtract 2: $12-2=10$

Fourth: 2

Multiply by 88: $88*2=176$

Add 88: $176+88=264$

Divide by 44: $264/44=6$

Subtract 2: $6-2=4$

On a general terms:

Let the number be x.

Multiply by 88: $88x$

Add 88: $88x + 88$

Divide by 44: $\frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2$

Subtract 2: $2x + 2 - 2 = 2x$

Notice that for every input x, the result is 2x

8 0

2 years ago