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Sholpan [36]
3 years ago
10

Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))​

Mathematics
1 answer:
storchak [24]3 years ago
3 0

9514 1404 393

Answer:

  -40m² +112

Step-by-step explanation:

g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)

= -5(8m² -24) -8 = -40m² +120 -8

g(f(6-2m²)) = -40m² +112

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In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
miv72 [106K]

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

5 0
3 years ago
What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2
deff fn [24]

Answer: The only force on it is its weight, w=9800N

Step-by-step explanation:

7 0
3 years ago
Gino brings home one book from each of his 5 school subjects and places them side by side on a
const2013 [10]

Answer:

about 50

Step-by-step explanation:

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4 0
3 years ago
A cylinder with a height of 4 m has a volume of approximately
tigry1 [53]

Answer:

18m

Step-by-step explanation:

113.04m/3.14 = 36m/4m = 9m*2 = 18m

7 0
3 years ago
Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.
pshichka [43]
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months. 

1 year = 12 months 

12 * 5 = 60 months 

Therefore, in 5 years there are 60 months. 

Now lets solve this problem step by step. 

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate. 

$18500 *1.9 = $35150 

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585 

<span>Therefore, you have to pay $585 per month. </span>
4 0
3 years ago
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