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jek_recluse [69]
2 years ago
14

What is a correct expansion of (4x+1)(2x^2-2)

Mathematics
2 answers:
kirill115 [55]2 years ago
4 0

Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

nikitadnepr [17]2 years ago
4 0

Answer:

A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)

Step-by-step explanation:

We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.

When solving binomials, we need to follow the FOIL method :

First - First number in first parenthesis multiplied by first number in second parenthesis

Outer - First number in first parenthesis multiplied by second number in second parenthesis

Inner - Second number in first parenthesis multiplied by first number in second parenthesis

Last - Second number in first parenthesis multiplied by second number in second parenthesis

If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :

A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)

This follows FOIL entirely from start to finish.

B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

This did not follow the Inner part of FOIL.

C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)

This did not follow the Outer part of FOIL.

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Find the volume and surface area of this prism.
mina [271]

Answer:

V = 408 cm cubed

SA = 558 cm squared

Step-by-step explanation:

To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 6*8*17 = 408

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.

Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.

The surface area of the prism is 48 + 510 = 558.

8 0
3 years ago
The point P(-5,-8) is reflected across the x-axis to create point Q.
Ivahew [28]

Answer:

Answer: D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

3 0
3 years ago
Y-4x=3. 2x-3y=21 can someone help
mars1129 [50]

Y-4X =3 ; 2x-3y=21

Y= 3+ 4x

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2x- 9- 12x= 21

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3 years ago
How do you write one-fourth of a number , increased by seven
horrorfan [7]
X/4+7=y 

x being your "number" and y being the answer
8 0
3 years ago
Tell whether the lines through the given points are parallel, perpendicular, or neither. Explain.
mina [271]

Answer:

parallel

Step-by-step explanation:

find the slope of each line

Line 1   (5-2)/(-4-2) = 3/-6 =-1/2

Line 2  (-4--9)/(-6-4)= 5/-10 = -1/2

5 0
3 years ago
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