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andrew11 [14]
2 years ago
13

Which expressions are completely factored?

Mathematics
1 answer:
amm18122 years ago
6 0

The only expressions that are correctly factored are;

A) 16a⁵ - 20a³ = 4a³(4a² - 5)

B) 24a⁴ + 18 = 6(4a⁴ + 3)

C) 12a³  + 8a = 4a(3a² + 2)

D) 30a⁶ - 24a² = 3a²(10a⁴ - 8)

<h3>How to factorize equations?</h3>

1) 16a⁵ - 20a³

To factorize this, we will have to get out the common factor first. The common factor is 4a³. Thus, we now have;

4a³(4a² - 5)

2) 24a⁴ + 18

To factorize this, we will have to get out the common factor first. The common factor is 6. Thus, we now have;

6(4a⁴ + 3)

3) 12a³  + 8a

To factorize this, we will have to get out the common factor first. The common factor is 4a. Thus, we now have;

4a(3a² + 2)

4) 30a⁶ - 24a²

To factorize this, we will have to get out the common factor first. The common factor is 3a². Thus, we now have;

3a²(10a⁴ - 8)

Read more about factorization of equations at; brainly.com/question/723406

#SPJ1

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If v varies directly as w and v = 8 when w=1/2 find the equation that relate v and w
garri49 [273]

Answer:

v=kw. 8=k1/2

Step-by-step explanation:

Okay, so here's the equation. v=kw. Varies directly means if v rises, then w rises. If v decreases, then w will decrease. Let me know if that helps! (In case you need it, k=16.)

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Which is an x-intercept of the continuous function in the table?
Airida [17]

we know that

The x-intercept is the value of the variable x when the value of the function is equal to zero

so

In the table we have

(-1, 0) is a x-intercept, because

For x=-1 the value of the function is equal to zero

(-6, 0) is a x-intercept, because

For x=-6 the value of the function is equal to zero

therefore

<u>the answer is</u>

the continuous function in the table has two x-intercepts

(-1, 0)

(-6, 0)

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The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. Which of the following equations could b
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replace c with 71.50

the third one

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A car traveling at a rate of 54 miles per hour. What is the car's rate in feet per secondHow many fect will the car travel in 2
Lena [83]

The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.

Car's speed in miles per hour = 54 miles per hour

Recall :

  • 1 mile = 5280 feets
  • 1 hour = 3600 seconds

Car's rate in feet per second

  • 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.

  • Distance in 2 seconds :
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Therefore, the car will cover a distance of 158.4 feets in 2 seconds.

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