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2 years ago

Factor completely 2c^3-22c^2+48c

Mathematics

1 answer:

Bingel [31]2 years ago

7 0

Answer:

2c(c - 3)(c - 8)

Step-by-step explanation:

Hello!

Factor:

2c³ - 22c² + 48c
2c(c² - 11c + 24)

Think: What two numbers multiply to 24, and add up to -11?

Answer: -8 and -3

Split up the -11c into -8c and -3c:

2c(c² - 8c - 3c + 24) (factor each pair)
2c( c(c - 8) - 3(c - 8))
2c(c - 3)(c - 8)

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1 year ago

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x

Pie

Answer:

Vertical movement: Move up 3 units

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is $f(x) = 4(2)^{x}$ and your child equation is $f(x) = 4(2)^{x} + 3$ , then it has vertically moved up 3 units.

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2 years ago

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The sum of Ted's and Leon's ages is

olganol [36]

Answer:

Ted is 6 years old

Leon is 7 years old

Andrew is 8 years old

Step-by-step explanation:

Ted+Leon=13 ⇒T+L=13 ⇒L=13-T

Leon+Andrew=15 ⇒L+A=15 ⇒A=15-L ⇒A=15-(13-T) because Leon =13-Ted

A=2+T

Ted+Andrew=14

T+A=14 ( substitute Andrew age from A=2+T)

T+2+T=14

2T=12

<h2>T=12/2=6 (Ted is 6 years old)</h2><h2>A=2+T=2+6=8 ( Andrew is 8 years old)</h2><h2>Leon=13-T=13-6=7 ( Leons is seven years old)</h2>

check: Ted+Leon=13 ⇒ 6+7=13

Leon + Andrew=15 ⇒7+8=15

Andrew+Ted=14 ⇒ 6+8=14

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3 years ago

The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet

aleksklad [387]

Answer:

The length of the actual train's car is <u>67.5 feet.</u>

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be $x.$

And, the length of the car of model train = $5\ inches\ long.$

<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>

<em>Thus, 5 inches is equivalent to </em> $x.$ <em />

Now, to get the length of actual train's car using cross multiplication method:

$\frac{1}{13.5} =\frac{5}{x}$

By cross multiplying we get:

$x=67.5\ feet.$

Therefore, the length of the actual train's car is 67.5 feet.

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3 years ago