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Inga [223]
3 years ago
14

Simplify the polynomial expressions by combining like terms, and then multiply the resulting

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)​

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)​

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

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What is the slope of the line that passes through the point (-9,8) and (-3-1)?
natulia [17]

Answer:

Step-by-step explanation:

(x₁, y₁) = (-9 ,8)   and (x₂ , y₂) = (-3 , -1)

Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}

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2 years ago
A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slo
alina1380 [7]

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m =  average speed of the motorcycle

c = average speed of the car

c = 2m - 30  equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

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3 years ago
How to write 0.624 in expanded form
GalinKa [24]

Answer:

0.6 + 0.02 + 0.004

Step-by-step explanation:

0.624=0.6 + 0.02 + 0.004

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