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Natali5045456 [20]
3 years ago
9

Mr. Brown needs to price items that must be sold within 90​ days, and he has two options. In option​ A, Mr. Brown prices items a

t​ $225 and gives​ $1.00 off the price each day that the item does not sell. In option​ B, he prices items at​ $250 and gives​ $2.00 of the price each day that the item does not sell Write and solve a system to determine when the two options yield the same price.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

The two options yield the same price at 25 days.

Step-by-step explanation:

With the information provided, you can say that the option A would be equal to option B, which would be:

225-1x=250-2x, where x is the number of days that the item does not sell

Now, you can solve for x:

-1x+2x=250-225

x=25

According to this, the answer is that the two options yield the same price at 25 days.

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A prism has height x +1 and base area x^4-x^3+3x^2-3x+3. The function that represents the prism's volume is?
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3 years ago
The value 5 is an upper bound for the zeros of the function shown below.
Mice21 [21]

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

Step-by-step explanation:

Given

f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18

We know the rational zeros theorem such as:

if x=c is a zero of the function f(x),

then f(c) = 0.

As the f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18 is a polynomial of degree 4, hence it can not have more than 4 real zeros.

Let us put certain values in the function,

f(5) = 448, f(4) = 126, f(3) = 0, f(2) = -20,

f(1) = 0, f(0) = 18, f(-1) = 16, f(-2) = 0, f(-3) = 0

From the above calculation results, we determined that 4 zeros as

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Hence, we can check that

f(x) = (x+3)(x+2)(x-1)(x-3)

Observe that,

for x > 3, f(x) increases rapidly, so there will be no zeros for x>3.

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18  will be true.

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3 years ago
The mass of a ball is 128 g. It has a density of 0.5 g/cm³.
liraira [26]

Answer:

The volume of the ball is 256 cm³

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

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V=m/D

In this problem we have

m=128 g

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substitute

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7 0
3 years ago
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