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Yuki888 [10]
2 years ago
15

Which expression below can Cynthia use to find the cost for a backage that weighs w pounds?

Mathematics
1 answer:
Ilya [14]2 years ago
5 0

Answer:

A

Step-by-step explanation:

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The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
3 years ago
PLEASE HELP!<br><br> Lines a and b are parallel.<br><br><br><br> What is the measure of angle b?
bija089 [108]
<span>Lines a and b are parallel.
<a = 79
<b = 79
</span><d = 79
<z = 180 - 79 = 101
<y = 101
<x = 101
<c = 101
4 0
3 years ago
The graph represents the cost y (in dollars) to open an online gaming account and buy x games. Write an equation in slope-interc
Luba_88 [7]

Answer:

y = 10x + 15

Step-by-step explanation:

you pick two points on the line

I picked (3,45) and (6,75)

you subtract the two x’s and y’s

75 - 45 = 30 (30 is the rise) you go up from 45 to 75

6 - 3 = 3 (you move 3 times to the right to get to the 6) so 3 is the run

slope = rise/run so 30/3 = 10

The y-intercept is the place you start on the graph so that is 15

8 0
3 years ago
Read 2 more answers
Please help and show ur work:)
Sidana [21]
3/4...there’s no work to show
6 0
3 years ago
The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains
hodyreva [135]

Answer:

Step-by-step explanation:

eq. of line parallel to AB is y=2x+a

if it passes through (3,-2) then

-2=2×3+a

a=-2-6=-8

y=2x-8

7 0
3 years ago
Read 2 more answers
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