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Simora [160]
3 years ago
8

For the direct variation, find the constant of variation. Then find the value of y when x = −0.3.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

y = 0.05 when x = -0.3

Step-by-step explanation:

The direct variation between y and x is denoted as:

y∝x

when the proportionality symbol is removed, the constant of proportionality is introduced.

y = kx

Putting y=2 and x = -12

2 = -12k\\k = \frac{2}{-12}\\k =-\frac{1}{6}

So the equation will be:

y = -\frac{1}{6}x

Putting x = -0.3

y = -\frac{1}{6} *-0.3\\y =0.05

Hence,

y = 0.05 when x = -0.3

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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3 years ago
If f(x) = 2x+5 a. if f(a) =20 , what is the value of a? b. if f(b)= 0, what is the value of b?
ryzh [129]

Given :-

  • f(x) = 2x + 5
  • f(a) = 20
  • f(b) = 0

To Find :-

  • The values of a and b .

Solution :-

Here we are given that ,

f(x) = 2x + 5

Substituting x = a , we have ,

f(a) = 2a + 5

Now f(a) = 20 . So ,

20 = 2a + 5

Solve out for a ,

20 - 5 = 2a\\

2a = 15\\

a = \dfrac{15}{2}= 7.5

<u>Hence</u><u> the</u><u> value</u><u> of</u><u> </u><u>a </u><u>is </u><u>7</u><u>.</u><u>5</u><u> </u>

For finding out the value of b , substitute x = b , and f(b) = 0 ,

f(b) = 2b + 5 \\

0 = 2b + 5

Solve for b ,

2b = -5 \\

b =\dfrac{-5}{2}=-2.5

<u>Hence</u><u> the</u><u> value</u><u> of</u><u> </u><u>b </u><u>is </u><u>-</u><u>2</u><u>.</u><u>5</u><u> </u>

<u>4</u><u>t</u><u>h</u><u> </u><u>option</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u>

I hope this helps.

6 0
3 years ago
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