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3 years ago

Factor completely x3 + 7x2 − 2x − 14.

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

Answer:

(x + 7) (x^2 - 2)

Step-by-step explanation:

Aliun [14]3 years ago

3 0

Answer:

(x + 7) (x^2 - 2)

When you multiply these two factors together, you should get the original polynomial as your answer.

Hope this helps :)

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The product of 1 1/2 and 2 is

Over [174]

Method 1:

Convert the mixed number to the improper fraction:

$1\dfrac{1}{2}=\dfrac{1\cdot2+1}{2}=\dfrac{3}{2}$

Make the product:

$1\dfrac{1}{2}\cdot2=\dfrac{3}{2}\cdot2$

canceled 2

$=\dfrac{3}{\not2_1}\cdot\not2^1}=\boxed{3}$

Method 2:

$1\dfrac{1}{2}=1+\dfrac{1}{2}$

$1\dfrac{1}{2}\cdot2=\left(1+\dfrac{1}{2}\right)\cdot2$

use the distributive property a(b + c) = ab + ac

$(1)(2)+\left(\dfrac{1}{2}\right)(2)=2+1=\boxed{3}$

7 0

3 years ago

Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.

Rama09 [41]

The rate of change is 16.8 million tons per year

Solution:

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

The average rate of change is given by formula:

$\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}$

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

Substitute the given values in formula,

$\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}$

Thus rate of change is 16.8 million tons per year

5 0

3 years ago

Explain pls and thanks

murzikaleks [220]

Starting more simply, if we wanted to know how many students like pink in general, that's 68/100. We could do that for each single category and the fractions would add together to equal 1. Now say we wanted to know something about that 68/100 people. That 68 is our new 100%, or another way of looking at it is if we take however many people like pink and don't like black and those that do like black, they will equal 68/68.

The number of people that like pink but don't like black is 41/68 and those that like pink and black are 27/68. 27+41=68 For the question of your problem it is asking about those that do not like pink which you can tell from the table or use from my saying 68/100 like pink is 32. Now you can split that into those that do or don't like black, and the two results will equal 32/32.

7 0

3 years ago

How far can you run in 5/7 of an hour if you run at a speed of 8 2/5 mph?

Mazyrski [523]

Answer: you can run 6 miles

explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6

5 0

3 years ago

Which option correctly replaces the letters X and Y? An x will bind to the Y of an enzyme so that the chemical reaction can occu

Marysya12 [62]

Answer:

Step-by-step explanation:

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3 years ago