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Natali5045456 [20]
3 years ago
6

Factor completely 8x2-4x-84

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer: 4 • (2x - 7) • (x + 3)

Step-by-step explanation:

(4x+12)(2x-7)

8x²-28x+24x-84

8x²-4x-84

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There are 158 students registered for American History classes. There are twice as many students registered in second period as
Margarita [4]

There are 28 students in first period and 56 students in sceond period and 74 students in third period

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

Let the number of students in first period be "x"

Let the number of students in second period be "y"

Let the number of students in third period be "z"

<em><u>There are 158 students registered for American History classes.</u></em>

Therefore,

x + y + z = 158 ---------- eqn 1

<em><u>There are twice as many students registered in second period as first period</u></em>

number of students in second period = twice of number of students in first period

y = 2x ------- eqn 2

<em><u>There are 10 less than three times as many students in third period as in first period</u></em>

number of students in third period = 3 times number of students in first period - 10

z = 3x - 10 ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

x + 2x + 3x - 10 = 158

6x = 168

<h3>x = 28</h3>

<em><u>Substitute x = 28 in eqn 2</u></em>

y = 2(28)

<h3>y = 56</h3>

<em><u>Substitute x = 28 in eqn 3</u></em>

z = 3(28) - 10

z = 84 - 10

<h3>z = 74</h3>

Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period

5 0
3 years ago
Please help me! I will give you Brainlist if you get it right!​
Sedaia [141]

Answer:

B

Step-by-step explanation:

find the area of the rectangle and then find the area of the semi circle, then add the 2 together

6 0
3 years ago
Finding Distance in the Coordinate Plane!
Aleonysh [2.5K]
It is B. the differences are added together

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3 years ago
A limited-edition soccer ball costs $30, and the sales tax is 6%. What is the total cost?
frez [133]

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

6 0
3 years ago
Read 2 more answers
2.<br> Show your work<br> 24*<br> V<br> 2x<br> Angle =
elena-s [515]

Answer:

90-24=76°

Step-by-step explanation:

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2 years ago
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