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3 years ago

7

Which of the following is a factor of 7x2 - 12x - 4? (6 points)

1 answer:

grin007 [14]3 years ago

4 0

Answer:

We conclude that 'None of the above' is the correct answer.

Step-by-step explanation:

Given the expression

$7x^2\:-\:12x\:-\:4$

Breaking the expression into groups

$7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)$

Factor out $x$ from $7x^2\:+\:2x$

$=x\left(7x+2\right)$

Factor out -2 from $\left(-14x-4\right)$

$=-2\left(7x+2\right)$

so the expression becomes

$7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)$

$=x\left(7x+2\right)-2\left(7x+2\right)$

Factor out the common term $7x+2$

$=\left(7x+2\right)\left(x-2\right)$

Therefore, from the given options, we conclude that 'None of the above' is the correct answer.

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Joe bought 16 pounds of flour for $7.<br> How many pounds of flour did he get per dollar?

wolverine [178]

Answer:

112

Step-by-step explanation:

7 0

3 years ago

Mc Donald’s sells about 150 hamburgers every 3 seconds. How many seconds will it take to sell 6,400 hamburgers?

Strike441 [17]

150/3=50
6400/50=128
So 128 seconds

3 0

3 years ago

(-6ab-7a+2) - (-2ab+8)<br> Helpppp

Alika [10]

Answer:-4ab-7a-6

Step-by-step explanation:

(-6ab-7a+2) - (-2ab+8)

-6ab -7a + 2 + 2ab-8 (removed parentheses & fixed the negative at the end)

-4ab-7a-6 (combined like terms)

5 0

3 years ago

Beth spent $53 on 3 hostas and 5 pots of ivy. Stefan spent $39 on 1 hosts and 7 pots of ivy. How much does one hosta and one pot

vichka [17]

Cost of one hosta is $11 and one pot of ivy is $4.

Step-by-step explanation:

Let,

Cost of one hosta = x

Cost of one pot of ivy = y

According to given statement;

3x+5y=53 Eqn 1

x+7y=39 Eqn 2

Multiplying Eqn 2 by 3

$3(x+7y=39)\\3x+21y=117\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(3x+21y)-(3x+5y)=117-53\\3x+21y-3x-5y=64\\16y=64$

Dividing both sides by 16

$\frac{16y}{16}=\frac{64}{16}\\y=4$

Putting y=4 in Eqn 2

$x+7(4)=39\\x+28=39\\x=39-28\\x=11$

Cost of one hosta is $11 and one pot of ivy is $4.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

3 years ago

Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between th

Fofino [41]

Answer:

$Rate = 6$

$Rate = 10$

$Rate = 18$

$Rate = 162$

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

$Rate = \frac{y_2 - y_1}{x_2 - x_1}$

In table A, the 2nd and 3rd point is:

$(x_1,y_1) =(1,7)$

$(x_2,y_2) =(2,13)$

So, the average rate of change is:

$Rate = \frac{13 - 7}{2 - 1}$

$Rate = \frac{6}{1}$

$Rate = 6$

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

$(x_1,y_1) =(2,13)$

$(x_2,y_2) =(3,23)$

So, the average rate of change is:

$Rate = \frac{23 - 13}{3 - 2}$

$Rate = \frac{10}{1}$

$Rate = 10$

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

$(x_1,y_1) =(2,11)$

$(x_2,y_2) =(3,29)$

So, the average rate of change is:

$Rate = \frac{29 - 11}{3 - 2}$

$Rate = \frac{18}{1}$

$Rate = 18$

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

$(x_1,y_1) =(4,83)$

$(x_2,y_2) =(5,245)$

So, the average rate of change is:

$Rate = \frac{245 - 83}{5 - 4}$

$Rate = \frac{162}{1}$

$Rate = 162$

7 0

3 years ago