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3 years ago

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Claire is 11 years old. She is 5 years younger than her brother Gary who is y years old. Which equation represents this situatio

n?

1 answer:

Illusion [34]3 years ago

6 0

Answer:

y = 11 + 5

Step-by-step explanation:

So she is 5 years younger, which would mean that it would be y - 5, and using inverse operations, we get y = 11 + 5

hope this helps:/

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Find f^-1(x) <br><br> A<br> B<br> C<br> D

inna [77]

<u><em>Answer:</em></u>

D. f⁻¹(x) = 2x + 10

<u><em>Explanation:</em></u>

<u>The given is:</u>

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

<u>To find the inverse, follow the below procedures:</u>

<u>1- Convert f(x) to y. </u>

<u>This will give:</u>

$y = \frac{1}{2} x - 5$

<u>2- Swap the x and y variables.</u>

<u>This will give:</u>

$x = \frac{1}{2}y - 5$

<u>3- Solve for y.</u>

<u>This will give:</u>

$x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10$

<u>4- Replace the y in the above step with f⁻¹(x).</u>

<u>This will give us:</u>

f⁻¹(x) = 2x + 10

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

lutik1710 [3]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, <em>N</em> = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

$P(\text{Sum}=5)=\frac{4}{36}=\frac{1}{9}$

Let <em>X</em> = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled <em>n</em> = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 180 and <em>p</em> = $\frac{1}{9}$ .

The expected value of <em>X</em> is:

$E(X)=np$

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

$E(X)=np\\=180\times \frac{1}{9}\\=20$

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

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3 years ago

What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 2:3?

ankoles [38]

Answer:

C IS YOUR ANSER.

Step-by-step explanation:

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3 years ago

Joshua currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups un

Maslowich

Answer:

x=12

Step-by-step explanation:

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Aleonysh [2.5K]

First off, the area of the circle would be 78.54

Now, you would do (area of the triangle)--- AT-78.54=answer

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4 years ago