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2 years ago

Suppose y varies directly with x, and y= 12 when x=-3. What is the value of y when x = 6?

Mathematics

1 answer:

nadya68 [22]2 years ago

3 0

Answer:

Step-by-step explanation:

when you have a statement such as

"Suppose y varies directly with x "

you can write it as y = kx, where k is some constant.

In most cases you will be given one relations that let's you find the value of k, sure enough: x=12 and x=6

so 12 = k(6)

k = 2

then your equation will be y = 2x

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A small combination lock on a suitcase has 3 wheels, each labeled with the 10 digits from 0 to 9. If an opening combination is

Artyom0805 [142]

Answer:

0.14% probability of a person guessing the right combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the numbers are selected is important. For example, 1,3,2 is a different combination than 3,1,2. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Desired outcomes:

One right combination, so $P = 1$

Total outcomes:

10 numbers from a set of 3. So

$P_{(10,3)} = \frac{10!}{(10-3)!} = 720$

What is the probability of a person guessing the right combination?

$p = \frac{D}{T} = \frac{1}{720} = 0.0014$

0.14% probability of a person guessing the right combination

5 0

4 years ago

Can someone please explain this by step by step? And give me the answer

AURORKA [14]

Answer:

we know that q=-18

So if we see the fraction below it says q/3

We know that q is -18

Therefore, you substitute it in for q and you get

-18/3 which equals -6

7 0

3 years ago

Find the inverse of function f.

denis23 [38]

Answer:

Step-by-step explanation:

Let's solve for f.

fx=

x−2

Step 1: Divide both sides by x.

x−2

x−6

Answer:

x−6

6 0

2 years ago

Oder these number from least to greatest -3, 5,-1, 0, 7

kotykmax [81]

Answer:

-3,-1,0,5,7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve for the roots in simplest form using the quadratic formula:<br> 3x2 + 36 =<br> 24x

sertanlavr [38]

Answer:

x=6,2

Step-by-step explanation:

4 0

3 years ago