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3 years ago

Factor the polynomial: 2x(x - 4) + 7(x-4)

Mathematics

1 answer:

mojhsa [17]3 years ago

7 0

Answer:

(x - 4)(2x + 7)

Step-by-step explanation:

Given

2x(x - 4) + 7(x - 4) ← factor out (x - 4) from each term

= (x - 4)(2x + 7)

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What percent of 29 is 3

Maru [420]

Answer:

10.3% or so

Step-by-step explanation:

Just divide the number you want to figure out what percentage it is (3) by the total number (29) and take the decimal for your percentage and round if needed.

(3/29)

4 0

2 years ago

Read 2 more answers

a car rental company charges an initial fee plus a constant fee per kilometer driven this table compares a total distance driven

ollegr [7]

Answer:

$120

Step-by-step explanation:

The initial fee that was charged is the y-intercept of the equation that represents the situation given.

Using the slope-intercept equation, y = mx + b, find m and then find b, which is the initial fee.

Where, x = distance, y = price, m = slope, and b = y-intercept, which is the initial fee that was charged that we are looking for.

First, using two pairs, (105, 183) and (140, 204), find the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{204 - 183}{140 - 105} = \frac{21}{35} = \frac{3}{5}$

m = ⅗

To find the y-intercept, b, substitute x = 105, y = 183, and m = ⅗ into $y = mx + b$ .

$183 = \frac{3}{5}(105) + b$

$183 = 63 + b$

Subtract 63 from each side

$183 - 63 = b$

$120 = b$

The initial fee of the company is $120.

7 0

3 years ago

Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally

Nana76 [90]

Answer: The probability in (b) has higher probability than the probability in (a).

Explanation:

Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.

So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower.

Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.

Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).

5 0

3 years ago

A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has

12345 [234]

Answer:

22,7%

Step-by-step explanation:

I can help you with this statistical reasoning assignments and quiz check me on ig or twit at essaywriter04

5 0

4 years ago

Anyone know the answer?

omeli [17]

The answer is 20.24

After rounding, it becomes 20.2

7 0

3 years ago