1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
3 years ago
6

In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}

where c is the proportionality constant

\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}

Hence, x value is 12 when y value is 9

You might be interested in
In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-
alina1380 [7]

Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

f(t )=  {t}^{2}

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

g(t) =  {(t + 3)}^{2}

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts

8 0
3 years ago
My sister ...... piano for 5 years (learn)<br><br>write the underline with right tense​
Mila [183]

Answer:

My sister learn to play piano for 5 years

Step-by-step explanation:

Is that correct?

If so can I please get a brainless i only need one more please

5 0
2 years ago
Read 2 more answers
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a
Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×\frac{3}{2}=\frac{22.2}{2}=11.1

The price of oil in March will be $11.10 per gallon.

6 0
3 years ago
Help me fast please!?!!?!?!
sladkih [1.3K]
The answer for the question is 31
5 0
3 years ago
Read 2 more answers
Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.
Vika [28.1K]
<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Slope=
    6·1 answer
  • How can you find the whole when you know part and the percent.
    14·1 answer
  • 8/3x-6=3x/x-2<br> Please solve for x as a fraction!
    14·1 answer
  • If someone had five cookies and decided to divide it by four people how much cookies would each person get.
    12·2 answers
  • Tonya knows a half a gallon of juice at the store cost $2.29. She decided to to buy 10gallons of juices for a party. how much mo
    10·1 answer
  • What is negative 5 plus 6​
    5·2 answers
  • A square prism of height 11 inches has a volume of 539 cubic inches.
    9·2 answers
  • Find the fractional part the first number is of the second <br> examples:12;30,9;27,15;50
    8·1 answer
  • A blank is a number that cannot change its value
    6·2 answers
  • PLZZZ HELP ME
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!