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3 years ago

What is the midpoint of CD?

Mathematics

1 answer:

Otrada [13]3 years ago

8 0

Answer:

The endpoints of the line segment CD are:

$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

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if P(x)=1+6x-5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize p

Rashid [163]

Answer:

600

Step-by-step explanation:

$p(x) = 1 + 6x - 5x^2$

x max = $-b/2a$

a = -5

b = 6

-6/2(-5) = 6/10 = 3/5 = .6

.6 thousand = 600

600 speakers should be sold.

Alternatively, you can check the vertex of the parabola formed.

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3 years ago

The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students ch

kari74 [83]

according to the graph, 25% chose water, and

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190$

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3 years ago

Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing

Cloud [144]

Answer:

See below

Step-by-step explanation:

Sides of the garden

16 feet and 8 feet

New dimensions of the garden

16 + 2x and 8 + x

1. The area of the new garden

(16 + 2x)(8 + x) =
2x^2 + 32x + 128

2. The difference in area

2x^2 + 32x + 128 - 16*8 =
2x^2 + 32x

3. x= 2 effect on the area

2*2^2 + 32*2 =
8 + 64 =
72 ft²

4. Area difference = 160

2x^2 + 32x = 160
x^2 + 16x - 80 = 0
Solving we get positive root of 4 ft

5. Area difference = 4 times

2x^2 + 32x = 128*3
2x^2 + 32x - 384 = 0
x^2 + 16x - 192= 0
Solving we get positive root of 8 ft

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3 years ago

Surface area of storage box that measures 15 centimeters by 12 centimeters by 10 centimeters?

stich3 [128]

1800----------------------

7 0

2 years ago

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Pls find 5he area of each rectangle thxs

horsena [70]

(7 cm)*(10 cm) = 70 cm^2

The area is the product of length and width.

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2 years ago

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