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3 years ago

The function f(x) varies directly with x and f(x) = 12 when x = ¼. What is f(x) when x = 1/8?

Mathematics

1 answer:

Alexxandr [17]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = kx where k is a constant

Plugging in the given values:

12 = k * 1/4

48 = k

So the relation is

f(x) = 48x

So when x = 1/8

f(x) = 48 * 1/8 = 6.

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HELP PLSSSSSSSSSSSSSS!!!!!!!!!!!!!! I will Give Brainlyest!!!

Ymorist [56]

Answer:

$\frac{21}{8}$

Step-by-step explanation:

$6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\$

finally

$6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}$

5 0

3 years ago

Read 2 more answers

If RX=4 and XS=9, then XT=<br> And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

$RT^2+TS^2=169$ ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

7 0

3 years ago

#6 You want to find out what type of pet is most commonly adopted from the shelter. Over the course of a month, you randomly sur

DochEvi [55]

Answer:

we predict 2,587 persons will adopt dogs

Step-by-step explanation:

out of 40 persons 23 adopt dogs

Then

out of 40×25 persons 23×25 adopt dogs

Then

out of 1000 persons 575 adopt dogs

Then

out of 1000×4.5persons 575×4.5 adopt dogs

Then

out of 4,500 persons 2,587.5 adopt dogs

Method 2 :

Let x Ben the number of persons we predict they will adopt dogs:

Here we have a proportional relationship:

Then

$\frac{4500}{40} =\frac{x}{23}$

$\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5$

3 0

3 years ago

A fair coin is tossed three time sin succession. the set of equally likely outcomes is {hhh,hht,hth,thh,htt,tht,tth,ttt}. find t

n200080 [17]

There are 8 possible outcomes so that means the probability will have a denominator of 8.

Now, there is only one of the eight outcomes that has zero tails.

Therefore the probability of getting zero tails after tossing a fair coin three times in succession is

$\frac{1}{8}$

6 0

3 years ago

What is the greatest common factor of the monomials a2b5 and a3b3

Mumz [18]

Answer:

The greatest common factor of the monomials a2b5 and a3b3 is a2b3 .

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3 years ago