All categories

2 years ago

-4x^2 (3x^2 + 25x - 7)

1 answer:

6 0

In the instructions for this problem I am told to distribute -4x^2. Why?
the order of operations is the order in which to simlify
if you look inside the parenthases, all like terms have been combined so the inside of parenthasees have already been simlified
expanding the exponents won't make it any easier so we move to distriubiting (or mulitplying)
so then the next step is mulitply -4x^2 by the trinomial

<span>In the order of operations you must do problems inside parentheses first. Why does multiplying monomials by polynomials change this? </span>multiplying monomails by polynomials does not change this

<span>Would the answer come out different if I did the work according to the order of operations?
no because distributing first is what you should do if you follow order of operations
</span>

You might be interested in

Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart

sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

ANSWER: 480 cartons

6 0

3 years ago

What is an ecosystem

klemol [59]

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. ... Ecosystems are controlled by external and internal factors.

4 0

2 years ago

Read 2 more answers

For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the

Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu = 74$ , standard deviation $\sigma = 11.4$

a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?

39 - 74 = -35

The difference is of 35 beats per minute.

b. How many standard deviations is that? [the difference found in part? (a)?

|Z| when X = 39. So

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

$Z = \frac{39 - 74}{11.4}$

$Z = -3.07$

|Z| = 3.07

So 3.07 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

From item b. above, Z = -3.07.

5 0

2 years ago

A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest

n200080 [17]

Answer:

Dimensions = 21 centimeters by 4.2 centimeters.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 50cm

Translating the word problem into an algebraic expression, we have;

L = 5W

To find the dimensions of the rectangle;

Perimeter of rectangle = 2L + 2W

50 = 2L + 2W

50 = 2(5W) + 2W

50 = 10W + 2W

50 = 12W

W = 50/12

W = 4.2 cm.

To find the length;

L = 5W

L = 5*4.2

L = 21 cm.

8 0

2 years ago

Mr. Bennett owns 4 restaurants. The mean number of tables is 30. Which number line shows what could happen to the mean if he buy

expeople1 [14]

Number of tables al four restaurants have;
= 4 * 30
=120 tables
Two new restaurants + 4
=6 restaurants
(120+15+9)= 144 tables
Mean = total # of tables/ total # of restaurants;
144/6
=24
This is the mean so it decreases. I hope this helps even though you didn’t actually post the number line

7 0

3 years ago

Read 2 more answers