MATHEMATICS HIGH SCHOOL

What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d

Answers

Answer 1

Answer:

Answer:

The simplest form would be:

8c² - 1.5d

Explanation:

To simplify an expression, we need to gather the like terms.

Like terms are the ones having the same variable raised to the same power

In the given expression:

6c² + 2.5d - d + 2c² - 3d

We have terms having c² and terms having d.

Therefore, we would gather them as follows:

6c² + 2.5d - d + 2c² - 3d

(6+2)c² + (2.5-1-3)d

8c² - 1.5d ......................> This is the simplest form

Hope this helps :)

Answer 2

Answer: for this you have to combine like terms, so the answer is:
8c^2-1.5d

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An architect has a floor plan for a house is designing. The length of a room of the house on the floor plan is 10 inches. If the scale of the floor plan is 1/3 inch = 0.5 ft, what is actual length of the room?A) 5 ft
B) 6.7 ft
C) 10 ft
D) 15 ft

Answers

If 1/3 inch represents 0.5 ft, then 10 inches will represent (10 * 0.5)/(1/3) = 3 * 5 = 15ft

Final answer:

The actual length of the room is 15 ft.

Explanation:

To find the actual length of the room, we need to use the scale provided. The scale is 1/3 inch = 0.5 ft. We know that the length of the room on the floor plan is 10 inches. We can set up a proportion to solve for the actual length:

1/3 inch / 0.5 ft = 10 inches / x ft

Cross multiplying, we get:

1/3 * x = 0.5 * 10

Simplifying, we get:

x = 0.5 * 10 * 3

x = 15 ft

Therefore, the actual length of the room is 15 ft, which corresponds to the given length of 10 inches on the floor plan.

Learn more about Length here:

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Solve for x: −3|x + 7| = −12

Answers

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

-3|x+7|= -12
⇒ |x+7|= -12/(-3)
⇒ |x+7|= 4
⇒ x+7= 4 or x+7= -4
⇒ x= 4-7 or x= -4 -7
⇒ x= -3 or x= -11

Final answer: x= -3 or x= -11~

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.