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Andre45 [30]
3 years ago
6

Use the discriminant to answer the questions. 32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions

. One real, rational Two real, rational Two real, irrational Two complex
Mathematics
2 answers:
sp2606 [1]3 years ago
8 0

One real, rational, Option A

kenny6666 [7]3 years ago
3 0

Answer:

one real solution

Step-by-step explanation:

Use the discriminant to answer the questions. 32x - 4 = 4x^2 + 60

Move all the terms to one side and make right hand side 0

32x - 4 = 4x^2 + 60

subtract 4x^2 from both sides

-4x^2 + 32x -4 = 60

Subtract 60 from both sides

-4x^2 + 32x - 64=0

a= -4, b= 32, c= -64

discriminant is b^2 - 4ac

(32)^2 - 4(-4)(-64)= 1024 -1024=0

Discriminant b^2 - 4ac=0

so the equation has only one real solution

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What is the slope of (-7,-1) and (3,8)? Pls show your work
kondor19780726 [428]

Answer:

m=\frac{9}{10}

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

m=\frac{8-(-1)}{3-(-7)}

Evaluate:

m=\frac{9}{10}

Therefore, the slope between the two points is 9/10.

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After each charging, a battery is able to hold only 97% of the charge from the previous charging. The battery was used for 18 ho
Cerrena [4.2K]

Answer:

The total nuber of hours that the battery can be used over its lifetime is 600.

Step-by-step explanation:

We use an infinite geometric series to solve this question.

The sum of all values of an infinite geometric series is given by the following equation:

S = \frac{a_{1}}{1 - r}

In which a_{1} is the first term and r is the common ratio.

After each charging, a battery is able to hold only 97% of the charge from the previous charging.

This means that r = 0.97

The battery was used for 18 hours on its first charge before it had to be recharged.

This means that a_{1} = 18

What is the total number of hours the battery can be used over its lifetime?

S = \frac{18}{1 - 0.97} = 600

The total nuber of hours that the battery can be used over its lifetime is 600.

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Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How m
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Answer:

16

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