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cluponka [151]
3 years ago
8

Multiply (a-2)(2a^2-5a-2)​

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Distribute sum groups

a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)

Expand

2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)

Simplify brackets

2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4

Collect like terms

2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4

Simplify

<u>= 2a^3 - 9a^2 + 8a + 4</u>

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Question 4 i need help on!!
MrMuchimi

Answer:

C  20

Step-by-step explanation:

Set up equations:

Laguna's Truck Rentals

y = 2x + 20

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.

Salvatori's Truck Rentals

y = 3x

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).

Set the equations equal to each other:

2x + 20 = 3x

<em>Why would you do this?</em>

We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.

Solve:

2x + 20 = 3x

Subtract 2x on both sides:

2x + 20 = 3x

-2x           -2x

20 = x

When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.

Hope this helps :)

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It costs $50 to join a bowling club plus a monthly fee, the total costs for the year is $350
kvasek [131]
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What is the slope of the line y= 1/2x + 1?
myrzilka [38]
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6 0
3 years ago
Read 2 more answers
Algebra Find the values for x and y in parallelogram ABCD. AE= 2x, EC=y+4, DE=x, EB=2y-1. AC and BD intersect at point E
erastova [34]

Answer:

x

=

y

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A

E

=

2

x

=

E

C

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y

+

4

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D

E

=

x

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B

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y

−

1

A

C

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B

D

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Step-by-step explanation:

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The perpendicular bisectors of two sides of a triangle meet at point that belongs to the third side. Prove that this is a right
devlian [24]
<h3>Step-by-step explanation:</h3>

The point of intersection of the perpendicular bisectors of a triangle is the circumcenter, the center of the circle that contains the three triangle vertices.

If that center is on one side, that side must be a diameter of the circle. The diameter cuts the circle into two arcs, each of which measures 180°.

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