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2 years ago

Write the product as a trinomial.

Mathematics

1 answer:

11111nata11111 [884]2 years ago

6 0

Hello!

Since you are given the expression, (2x + 3)(4x - 2), you just need to multiply to find the trinomial.

(2x + 3)(4x -2)

8x² + 12x - 4x - 6

8x² + 8x - 6

Therefore, the answer is B, 8x² + 8x - 6.

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Hey, could someone please help me with this? Thanks.

Novosadov [1.4K]

Answer:

Part A: 1. (1, 0.5) 2. (2, 1) 3. (3, 1.5) 4. (4, 2) 5. (5, 2.5) 6. (6, 3)

Part B: Yes, this relation is in fact a function.

Part C: No, it would not be a function.

Step-by-step explanation:

Part A: Well, you start at 1 hr. right? yes. So then, at the very beginning at the problem, it says the candle burns at the rate of 0.5 in. per hour. So for 1 hour, the candle will burn .5 inches. At 2 hours, it will burn off 1 whole inch.

Part B: 1 hr. = .5 in. burn, 2 hrs. = 1 in. burns, 3 hrs. = 1.5 in. burns, 4 hrs. = 2 in. burns, 5 hrs.= 2.5 in. burns, 6 hrs. = 3 in. burns.

Part C: 1 hr.= .45 in. burn, 2 hrs. = .9 in burn, 3 hrs. = 1.35 in. burns, 4 hrs. = 1.8 in. burns, 5 hrs. = 2.25 in. burns, 6 hrs. = 2.7 in. burns. It does not go at a constant rate. The number of inches are all over the place.

Hope this helps you out!! (:

4 0

2 years ago

pleassssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp

kifflom [539]

U kno how to simplify

3 0

2 years ago

Read 2 more answers

You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.

erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

4 0

2 years ago

KatRina [158]

Answer:

B (2,6,10,14)

Step-by-step explanation:

I think C and D are imposible to be the answer.

A and B are 50% to be the answer.

But I choose B.

6 0

1 year ago

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

2 years ago