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3 years ago

Check my math work please, use photo attached

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

Answer:

The department total on the bottom right hand side should be 464253. Everything else is correct.

Step-by-step explanation:

Adding was wrong across the bottom row.

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The profit (in thousands of dollars) of a company is given by P(x) = -8x2 + 32x + 14.

andre [41]

Answer:

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

$\displaystyle P(x) = -8x^2+32x+14$

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

Find the <em>x-</em>coordinate of the vertex. In this case, <em>a</em> = -8, <em>b</em> = 32, and <em>c</em> = 14. Hence:

$\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2$

To find the maximum profit, substitute this value back into the function. Hence:

$\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46$

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

5 0

2 years ago

What's 6 3/4 × 3 4/5

tankabanditka [31]

$6 \frac{3}{4} *3 \frac{4}{5}$ is equal to 25.65 or $25 \frac{13}{20}$ or even $\frac{513}{20}$

6 0

3 years ago

Read 2 more answers

Enlarge the triangle by scale factor of -1/3

Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

Scale factor, k = -1/3
Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

$(x,y) \to (k(x - a) + a, k(y - b) + b)$

So, we have:

$A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)$

A' = (0, 2)

$B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)$

B' = (0, 4)

$C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)$

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged