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Allushta [10]
3 years ago
9

Please help me out!

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
The equation in slope intercept form is given by;

y = mx + c
Where m is the slope, given by;

m =  \frac{5 -  - 10}{6 - 3}
m =  \frac{5 + 10}{6 - 3}
m =  \frac{15}{3}  = 5
We substitute the value of m into the equation to obtain;

y = 5x + c
We find c by substituting any of the points,

5= 5(6) + c
5 = 30 + c
c =  - 25
This implies the equation in slope intercept form is;

y = 5x - 25
The correct answer is D.
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3 years ago
A quadratic function is defined by f ( x ) = x 2 − 8 x − 4 . which expression also defines f and best reveals the maximum or min
Lelechka [254]

Answer:

Step-by-step explanation:

Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.

We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.

Completing the square will put the quadratic in the desired form. Note that:

(x-h)^2=x^2-2hx+h^2

Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.

x^2-8x+16 + (16-4) = (x-4)^2 + 12

Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.

4 0
2 years ago
What is the volume ?
MAXImum [283]
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7 0
4 years ago
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3x^2 + 16x + 21 = 0<br> Leave your answer as a fraction!
Pachacha [2.7K]

Answer:

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Step-by-step explanation:

5 0
2 years ago
If x is 1 what is the value of y?9x - 5y = 29
mylen [45]

Given

The equation,

9x - 5y = 29.

To find the value of y when x is 1.

Explanation:

It is given that,

9x-5y=29

That implies,

When x=1,

\begin{gathered} 9(1)-5y=29 \\ 9-5y=29 \\ -5y=29-9 \\ -5y=20 \\ y=\frac{20}{-5} \\ y=-4 \end{gathered}

Hence, the value of y is -4.

4 0
1 year ago
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