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3 years ago

F(x)= 0.5x - 14; f(-4)

Mathematics

1 answer:

postnew [5]3 years ago

5 0

If you replace the x with -4 and multiple that by 0.5 then minus that from 14 you will get -16

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HELPP ASAP! WILL GIVE BRILLIANT! PLUS 20 POINTS

iragen [17]

Answer:

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

Two quantities are proportional if:

One of them is equal to the constant times the other one

If x and y are proportion, then y = k x, where k is constant

∵ Total wight in pounds ⇒ 12 , 18 , 30 , 60

∵ Number of books ⇒ 10 , 15 , 25 , 50

- Divide each two corresponding data to check if all they give

the same constant or not

∵ 12 ÷ 10 = 1.2

∵ 18 ÷ 15 = 1.2

∵ 30 ÷ 25 = 1.2

∵ 60 ÷ 50 = 1.2

- That means the total wight is equal to constant times the

number of books

∴ Total wight = 1.2 Number of books

∴ The total wight and the number of books are in a proportional

relationship

A. Yes the table represents a proportional relationship

∵ Total wight = 1.2 Number of books

∴ The constant of proportionality = 1.2

B. The constant of proportionality is 1.2

Learn more:

You can learn more about the proportionality in brainly.com/question/10708697

#LearnwithBrainly

Can I be Brainliest? TYSMMMMMMMMMMMMMMMMM

6 0

3 years ago

At a certain time of day, a 5 foot tall man has an 8 foot shadow. If a tree is 20 feet tall, what is the distance between the tr

Leto [7]

If they're asking the distance between the tree and the man's shadow, that would be 12ft and if they're asking the distance between the tree and the actually man, that would be 15ft :).

5 0

3 years ago

A 4-digit PIN number is selected. What it the probability that there are no repeated digits?

geniusboy [140]

Answer:

$P(A)=0.504$ or 50.4%

Step-by-step explanation:

The probabilities constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

A permutation is an ordered arrangement of objects in a group, without repetitions.

A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are $10^{4} =10000$

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation $nP_{k} =\frac{n!}{(n-k)!}$

$10P_{4} =\frac{10!}{(10-4)!}=10.9.8.7.6= 5040$

So, the probability that there are no repeated digits is:

P(A)=favorable cases/possible cases

$P(A)=\frac{5040}{10000}=0.504$ or 50.4%

5 0

4 years ago

70. pts

Svetach [21]

2x+6 > -4
trate it as a temporary equals sign
2x+6=-4
subtract 6 rom both sdies
2x=-10
divide both sides by 2
x=-5

put it back
x > -5
so the answer is C

4 0

3 years ago

Read 2 more answers

What is the volume of the cone with radius 4 ft and height 10 ft? Round to the nearest cubic foot.

Anit [1.1K]

Answer:

D) 168 ft^3

Step-by-step explanation:

The volume of a cone is given by the formula ...

V = (1/3)πr^2·h

Putting your numbers in, we have ...

V = (1/3)π(4 ft)^2·(10 ft) = (160π/3) ft^3 ≈ 168 ft^3