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Zepler [3.9K]
3 years ago
10

This is my question (-4b^3)(2b^5

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

- 8{b}^{8}

Step-by-step explanation:

- 4 {b}^{3}  \times 2 {b}^{5}

For this question, just multiply all like terms.

- 4 \times 2 =  - 8

{b}^{3}  \times  {b}^{5}  =  {b}^{3 + 5}  =  {b}^{8}

Note that the b^3 and b^5 are just bunch of b multiplying with each other. So, that can be represented as adding the exponents.

- 8 \times {b}^{8}  =  - 8 {b}^{8}

Also, I intentionally calculated the like terms separately for your understanding. So, you can just write the answer directly after the question without the extra work shown above (unless the extra work is required).

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Factors of 4x^3-14x^2+12x
IRISSAK [1]

Step-by-step explanation:

4x³ - 14x² + 12x

= 2x[2x² - 7x + 6]

= 2x[(2x-3)(x-2)]

= 2x(2x-3)(x-2)

7 0
3 years ago
Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
Katena32 [7]

Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

3 0
4 years ago
LMNP is roatated 90 degrees clockwise around the origin
AlexFokin [52]

It would be c, (1, 0)

7 0
3 years ago
Someone help on the first and number
Lelu [443]
It is a mixed number because mixed mumbers have higher numerator than the denominator
3 0
3 years ago
Read 2 more answers
Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
3 years ago
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