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3 years ago

10

The dimensions for a rectangular or prism are x + 5 for length, x+ 3 for width, and x for the height. What is the volume of the

prism? Enter your answer as a polynomial in standard form.

1 answer:

gladu [14]3 years ago

8 0

Answer:

x^3 +8x^2 +15x

Step-by-step explanation:

(x+5)(x+3)(x)

foil:

x^2+8x+15 (x)

x^3+8x^2+15x

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The distance traveled by a toy car can be modeled by D(t) = t3 − 3t2 + t − 3, where t > 3 represents time in seconds. If the

Bogdan [553]

Answer:

$t^2+1$

Step-by-step explanation:

We are given that

Distance traveled by a toy car

$D(t)=t^3-3t^2+t-3$

Where t>3

Time taken by car =t-3 seconds

We have to find the expression which represents the speed of the toy car.

We know that

$Speed=\frac{Distance}{time}$

Using the formula

$Speed=\frac{(t^3-3t^2+t-3)}{t-3}$

$Speed=\frac{t^2(t-3)+(t-3)}{t-3}$

$Speed=\frac{(t-3)(t^2+1)}{t-3}$

$Speed=t^2+1$

Hence, the expression which represents the speed of the toy car

$t^2+1$

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Inductive reasoning

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3 years ago

Quadratic Equations and Functions - Part 2

exis [7]

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

h(t) = 5 + 98t – 4.9t²

<h3>Part A</h3>

<u>Filling in the table using the function, substitute t for each line:</u>

<u>time | elevation</u>

<u>0 | 5 </u>

<u>5 | 372.5 </u>

<u>10 | 495 </u>

<u>15 | 372.5 </u>

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The graph is attached

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She completes the problem as seen in the steps below.

prisoha [69]

Answer:

• All her steps are right, and the answer is right as well

Step-by-step explanation:

$2(x + 1) + 1 = 5 \\ 2(x + 1) = 5 - 1 \\ 2(x + 1) = 4 \\ \\ \frac{2(x + 1)}{2} = \frac{4}{2} \\ \\ x + 1 = 2 \\ x = 2 - 1 \\ x = 1$

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Which is the solution set of the inequality 15y-9 < 36?

Kipish [7]

15y<36-9 ==>15y<27

y<27/15 ==>y<9/5

answer is B

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