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2 years ago

Simplify

le" class="latex-formula">

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

$i3 \sqrt{8}$

Step-by-step explanation:

$\sqrt{ - 72} \\ \sqrt{ - 1} \times \sqrt{72} \\ \sqrt{ - 1} \times \sqrt{9} \times \sqrt{8} \\ i3 \sqrt{8}$

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A. 28 B. 20 C. 62 D. 70

horsena [70]

Answer:

Imma just go A

Step-by-step explanation:

6 0

2 years ago

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Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour

andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

5 0

3 years ago

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Is (x-1) a factor of 2x3 - 15x2 + 22x + 15

Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

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2 years ago

Find the rule. Solve for n. Rule:

V125BC [204]

Step-by-step explanation:

The rule is add 5 to x

6+5=11

n=11

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1 year ago

I will mark best answer brainliest

Hunter-Best [27]

Answer: -1

Step-by-step explanation:

-8 (-8x - 6) = -6x - 22

distribute

64x + 48 = -6x -22

get rid of the smallest x by adding 6x to both side

70x + 48 = -22

minus 48 to both sides

70x = -70

divide both side by 70

x = -1

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2 years ago

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