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2 years ago

Find the factorization of the polynomial below.

1 answer:

3 0

Using slip and slide
2x^2+7x+6
x^2+7x+12
(x+3)(x+4)
(2x+3)(x+2)
The best answer is none of the above.
When foiling the answer choices,
A: 2x^2+10x+8
B: 2x^2+8x+6
C: 2x^2+5x+3
D: 4x^2+10x+6

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Solve the equation for y.<br><br> 6y+x=8

iVinArrow [24]

Answer:

The correct answer is $\bold{y = -\frac{1}{6}x+\frac{4}{3}}$ .

Step-by-step explanation:

We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.

$6y + x = 8 \ $\tex Subtract x from both sides of the equation.$

$6y + x - x = 8 - x \ $\tex Carry out the operation.$

$6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.$

$6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).$

$6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.$

$\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.$

$y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.$

Because we have the <em>y</em>-variable isolated from the rest of the equation, we are done!

6 0

2 years ago

Kristin goes to the mall and buys a pair of brand name sunglasses on sale for 13 off the regular price of $240.00. How much will

SIZIF [17.4K]

$13 (?) off the original price of 240 is 229. She will have to pay $229.00

7 0

3 years ago

Read 2 more answers

Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6

topjm [15]

9514 1404 393

Answer:

y-intercept: (0, -6)
x-intercepts: (-3, 0), (-1, 0), (1, 0)

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

f(x) = (2x^3 +6x^2) -(2x +6)

f(x) = 2x^2(x +3) -2(x +3)

f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

4 0

2 years ago

A software company decided to conduct a survey on customer satisfaction. Out of 564 customers who participated in the online sur

nikklg [1K]

Answer:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

$\hat p=\frac{51}{564}=0.0904$ estimated proportion of people who rated the overall services as poor

$p_o=0.1$ is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:

Null hypothesis: $p=0.1$