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vodomira [7]
3 years ago
7

8 times the square of a nonzero number is equal to 96 times the number. What is the number

Mathematics
1 answer:
vivado [14]3 years ago
8 0
The number is 12. 12 times 12 is 144. 144 times 8 is 1,152. if you divide that by 96 you get 12
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The last one represents a function ..
4 0
3 years ago
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Find a third-degree polynomial equation with rational coefficients that has the roots 2 and -3 + i.
NeTakaya

Answer:

Option B

Step-by-step explanation:

Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).

So in factor form we have:-

(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0    Let's expand the last 2 factors first:-

(x - (-3 + i))(x - (-3 - i))

= (x + 3 - i)(x + 3 + i)

= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2

= x^2 + 6x + 9 - (-1)

= x^2 + 6x + 10

Now multiplying by (x - 2):-

(x - 2)(x^2 + 6x + 10) = 0

x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0

x^3 + 4x^2 - 2x - 20 = 0    (answer)

Option B

5 0
4 years ago
What is the x and y intercepts Of “ -2y=3x-6 “ ?
vesna_86 [32]

-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0    |-3

-1.5x = -3     |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

5 0
3 years ago
The owner of a convenience store keeps track of how many customer buy lunch food during the "noon rush" each day for four days a
alexdok [17]

Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be 208+x and total number of days is 5.

Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

\frac{208+x}{5}=54

Multiply both sides by 5:

\frac{208+x}{5}*5=54*5

208+x=270

208-208+x=270-208

x=62

Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.

4 0
3 years ago
At a cookout, the ratio of hamburgers to veggie burgers is 12:5. If 30 veggie burgers were eaten, how many hamburgers were eaten
Slav-nsk [51]

Answer:

72

Step-by-step explanation:

12x6=72

4 0
3 years ago
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