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2 years ago

Which of the following expressions is a factor of the polynomial x2−2x−24?

Mathematics

1 answer:

pshichka [43]2 years ago

8 0

Answer:

Step-by-step explanation:

The factored version of the expression is:

(x-6)(x+4)

To factor, you want two numbers that multiply together to give you -24 and add together to give you -2

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D · 24 = -12 What does d equal?

Darya [45]

Answer: $d=-1/2$

Move all terms to the left

$d*24-(-12)=0$

Add all the numbers together, and all the variables

$d*24+12=0$

Multiply elements

$24d+12=0$

Move all terms containing d to the left, all other terms to the right

$24d=-12\\-12/24\\d=-1/2$

4 0

2 years ago

Read 2 more answers

Suppose that 70% of college women have been on a diet within the past 12 months. A sample survey interviews an SRS of 267 colleg

Fofino [41]

Answer:

The probability that 75% or more of the women in the sample have been on a diet is 0.037.

Step-by-step explanation:

Let X = number of college women on a diet.

The probability of a woman being on diet is, P (X) = p = 0.70.

The sample of women selected is, n = 267.

The random variable thus follows a Binomial distribution with parameters n = 267 and p = 0.70.

As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions ( $\hat p$ ) follows a Normal distribution.

The mean of this distribution is:

$\mu_{\hat p} = p = 0.70$

The standard deviation of this distribution is: $\sigma_{\hat p}=\sqrt{\frac{p(1-p}{n}} =\sqrt{\frac{0.70(1-0.70}{267}}=0.028$

Compute the probability that 75% or more of the women in the sample have been on a diet as follows:

$P(\hat p \geq 0.75)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}} \geq \frac{0.75-0.70}{0.028}) =P(Z\geq0.179)=1-P(Z$

**Use the z-table for the probability.

$P(\hat p \geq 0.75)=1-P(Z$

Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.

7 0

2 years ago

Help me find the answer for D and A please do it step by step for D and A

Vilka [71]

All triangles equal 180 degrees
92 + 50 = 142
180 - 142 = 38
Angle A equals 38 degrees

Angle 92 and Angle d Are supplementary which means that both angles added together equals 180
180-92 = 88
Angle d = 88 degrees

4 0

2 years ago

The dashed-line triangle is a dilation image of the solid-lined triangle.

Gre4nikov [31]

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
$\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3$

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

8 0

2 years ago

A line segment whose endpoints are (2,6) and (8,y) is perpendicular to a line whose slope is -4. What is the value of y?

Mariulka [41]

If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.

First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept

y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b

y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct

Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5

4 0

2 years ago