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Kobotan [32]
3 years ago
11

Li buys supplies so he can make and sell key chains. He begins to make a profit only after he sells 4 key chains. What point on

the graph makes the most sense in this situation?

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

Point A makes most sense

Step-by-step explanation:

We are given four points on the graph:

where x is the number of keychains sold and y is the profit.

A (3, -0.5)

B (3.5, 0.25)

C (2, 0.5)

D (4.5, -3)

According to the condition given that he makes profit only after he sells 4 key chains; only point A makes most sense.

Point A(3, - 0.5) shows that 3 keychains are sold, but there is a loss of 0.5

B (3.5, 0.25) shows that keychains sold are less than 4 but he is getting profit of 0.25 which is not possible according to given condition

Point C(2, 0 .5) is again wrong. Keychains sold are less than 4 but he is makina a profit which goes against the condition.

Point D(4.5, -3) is wrong because the keychains sold are more than 4 but still he is not making a profit which is shown in negative.

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Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

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We need to find the remainder by using long division method.

The dividend of the given expression is

Dividend=x^3-7x-6

Divisor=x-4

The long division method is shown below.

\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

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3 years ago
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igor_vitrenko [27]

Answer: B' (5,8), C' (3,1)

Step-by-step explanation:

You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.

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Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).

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2 years ago
Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle
e-lub [12.9K]
<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

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The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68

Thus measure of angle y is 35.68 degrees

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4 years ago
Can someone please help me find the measure of the exterior angle.
natta225 [31]

Answer:

X=128°

Step-by-step explanation:

Because an exterior angle of a triangle is equal to of the two opposite interior angle.

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x=128.

7 0
3 years ago
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