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FrozenT [24]
4 years ago
8

X=8 THE DIRECTIONS ARE ON THE TOP

Mathematics
2 answers:
suter [353]4 years ago
6 0

9514 1404 393

Answer:

  7. y = 5x; y = 40

  8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

  k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

  y = 5x

For x=8, the value of y is found using the equation:

  y = 5(8) = 40

__

8. Same deal, different numbers.

  k = 6/18 = 1/3

  y = 1/3x . . . . . the equation

  y = 8/3 . . . . . y for x=8

AleksAgata [21]4 years ago
4 0

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula -->  y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.  

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

                                 So y = 5 × 8 = 40

                                       y = 40

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4 0
3 years ago
4x-3y=16 16x+10y=240
Alexeev081 [22]
If you're asking for the solutions to x and y,  x is 10 and y is 8
4 0
3 years ago
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If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3&#10;

has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

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so

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We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

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8 0
3 years ago
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Which of the following is the equation for this graph?
ivolga24 [154]

Answer:

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Step-by-step explanation:

Get 2 points from the graph

(3;19) (-10;2)

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=2-19/-10-3

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19=17+c

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2=c

y=17/13x+2.

Well I think you are supposed to find the equation of the line so I think that's it.

3 0
3 years ago
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