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3 years ago

15

What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of

their edge lengths is 3:1

1 answer:

Harrizon [31]3 years ago

4 0

Answer:

9 : 1

Step-by-step explanation:

given a linear ratio = a : b, then the corresponding area ratio is

a² : b²

Here the linear ratio of their edges = 3 : 1, hence

ratio of surface areas = 3² : 1² = 9 : 1

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For the functions f(x) = 6x – 1 and g(x) = 4x2 + x, find (gºf)(x).<br> Provide your answer bolow

emmainna [20.7K]

For this case we have the following functions:

$f (x) = 6x-1\\g (x) = 4x ^ 2 + x$

We must find $(g_ {o} f) (x):$

By definition of composition of functions we have to:

$(g_ {o} f) (x) = g (f (x))$

So:

$(g_ {o} f) (x) = 4 (6x-1) ^ 2 + (6x-1) = 4 ((6x) ^ 2-2 (6x) (1) + (1) ^ 2) + 6x -1 = 4 (36x ^ 2-12x + 1) + 6x-1 = 144x ^ 2-48x + 4 + 6x-1 = 144x ^ 2-42x + 3$

We have different signs subtracted and the sign of the major is placed.

Finally we have to:

$(g_ {o} f) (x) = 144x ^ 2-42x + 3$

ANswer:

$(g_ {o} f) (x) = 144x ^ 2-42x + 3$

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3 years ago

3. One day, Shilo’s Shipping Company sent 4 trucks, each with 6 axles, and

Rufina [12.5K]

A;
[(4 x 6) + (5 x 2)] - [(14 x 2) + 7]

B;
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3 years ago

Solve |3x - 4| = 6<br><br><br>A. {-10/3, 10/3}<br><br>B. {-2/3, 10/3}<br><br>C. {-2/3, 2/3}

ratelena [41]

B. {-2/3, 10/3}
|3x-4|=6
3x=10
X=10/3

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3 years ago

the probability that a pupil in a class has a calculator is 0.87. what is the probability that the pupil does not have a calcula

chubhunter [2.5K]

Answer:

13/100

Step-by-step explanation:

we know that

The probability of the event occurring plus the probability of the event not occurring must equal to 1

If the probability that a pupil in a class has a calculator is 0.87

then

The probability that the pupil does not have a calculator is equal to

$1-0.87=0.13$

Convert to fraction

$0.13=\frac{13}{100}$

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3 years ago

3х +2y = 13<br> 2х - у = 4

shepuryov [24]

Answer:

5x+y=17

Step-by-step explanation:

you subtract when you see the sign u add when u need to add.

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3 years ago