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2 years ago

Calculate the average rate of change from 3 to 9 seconds, in feet per second

Mathematics

1 answer:

Annette [7]2 years ago

8 0

Answer:

D is the Answeer

Step-by-step explanation:

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If a= -2, y = -3 and z = 4, find the values of the following algebraic expressions. -3az

kipiarov [429]

Answer:

Step-by-step explanation:

substitute the given values for a and z into the expression

- 3az

= - 3(- 2)(4) = 6 × 4 = 24

5 0

2 years ago

Match the following rational expressions to their rewritten forms.

Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

$1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}$

And the rewritten forms:

$(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}$

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

$(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}$

So, correct option is 3.

$(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}$

So, correct option is 1.

$(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}$

So, correct option is 2.

$(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}$

So, correct option is 4.

The answer is also attached in the answer area.

7 0

2 years ago

A box contains 12 wooden soldier statues and 18 wooden animal statues. What is the probability of randomly pulling out a wooden

quester [9]

Answer:

I believe the answer is 40%

Step-by-step explanation:

The reasoning is 12+18=30 then you divide the amount of soldiers there is by the amount on toys in totality which is 12÷30 which is .4 convert to a percent which is 40%

Hence the answer is 40%

3 0

3 years ago

If you draw three cards from a regular deck of 52 cards, keeping each card out of the deck after you draw it, what are the chanc

Alex787 [66]

The chances of drawing a seven and two queens are 0.036199095% or <span>2/5525. YOU'RE WELCOME :) ??</span>

8 0

3 years ago

Math. Will Upvote. Please help

Mademuasel [1]

1) True. In a function, each x value has exactly one y value.
2) False. For example $x^2$ is a function, but is not linear. It is represented by a parabola.

6 0

3 years ago