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Assoli18 [71]
2 years ago
6

If y varies directly as x and given y =9 when x= 5, fInd:

Mathematics
1 answer:
True [87]2 years ago
5 0

Step-by-step explanation:

The statement

y varies directly as x is written as

<h3>y \:  \:  \alpha  \:  \: x</h3>

So we have

<h3>y = kx</h3>

First of all we must find the relationship between them

when

x = 5 and y = 9

We have

9 = 5k

Divide both sides by 5

k =  \frac{9}{5}

So the equation for the variation is

y =  \frac{9}{5} x

<h2>b).</h2>

when x = 15

y =  \frac{9}{5}  \times 15 \\  = 9 \times 3

We have the answer as

<h3>y = 27</h3>

<h2>c).</h2>

when y = 6

6 =  \frac{9}{5} x \\ 30 = 9x \\ x =  \frac{30}{9}

We have the answer as

x =  \frac{10}{3}

Hope this helps you

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Which value below is a solution to the inequality 4x - 5 &gt; 37
ZanzabumX [31]

Answer:

3

Step-by-step explanation:

The answer to the question is x > 16

This shows that x is bigger than 16

4 0
2 years ago
9. Kara is making copies of articles she needs to for her research paper. The local library charges $0.17 per page, and she has
Dominik [7]
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8 0
2 years ago
Are O, N, and P collinear? If so, name the line on which they lie.
san4es73 [151]

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that <em>O and N points are in a straight line but point P is aside.</em>

So, the points O, N, and P are not collinear.

Therefore, correct option is "<u>No, the three points are not collinear</u>".


7 0
3 years ago
What is the equation of the parabola?
frutty [35]
Y=-1/20(x+3)^2

Your could always tell by which way the curve is pointing and if pointing down it’s a negative it’s pointing up it’s a positive

Hope that helped
7 0
3 years ago
If CE= 7x+4 <br><br> x+3 + 8x-9 = 7x+4
MA_775_DIABLO [31]
The answer is 39.

Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4

9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4

We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10

When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
4 0
3 years ago
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