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Lana71 [14]
3 years ago
10

Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

64n⁴ - 9n¹⁴

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Exponential Rule: \displaystyle b^m \cdot b^n = b^{m + n}

Step-by-step explanation:

<u>Step 1: Define</u>

(8n² + 3n⁷)(8n² - 3n⁷)

<u>Step 2: Expand</u>

  1. FOIL:                               64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴
  2. Combine like terms:      64n⁴ - 9n¹⁴
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What is the ratio of the two values and what new value do they produce? $280 in 7m
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Answer:

The ratio between two values A and B is just the quotient between these two values:

ratio = A/B

a) $280 in 7m

Here the ratio is:

$280/7m = $40/m

This also can be read as:

$40 per meter.

b) 105 miles in 2 hours

Here the ratio is:

105mi/2h = 52.5 mi/h

This also can be read as:

52.5 miles per hour

c) $33 for 5lb

The ratio is:

$33/5lb = $6.6/lb

This can be read as:

$6.6 per pound.

d) 50 pages in 2 hours

the ratio is:

(50 pages)/2h = 25 pages/h

this can be read as:

25 pages per hour.

4 0
2 years ago
What number is one thousand less then 921,438 explain
Furkat [3]
920,438. 921,438-1,000=920,438
5 0
3 years ago
Read 2 more answers
C + 6 &gt; 5c - 2<br>solved and proof​
Elena L [17]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

c < 2

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

c+6>5c - 2\\--------------\\\\\rightarrow5c - 2< c + 6 \leftarrow \text{Notice how the sides are switched.}\\\\\rightarrow 5c - c -2 < c - c + 6\\\\\rightarrow 4c -2 < 6\\\\\rightarrow 4c - 2 + 2 < 6 + 2\\\\\rightarrow 4c  < 8\\\\\rightarrow \frac{4c

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

4 0
2 years ago
What is the answer to 11 &gt; b + 4 &gt; -6
Anestetic [448]

11 > b+4 > -6\\11 - 4 > b > -6-4\\7 > b > -10

Hope that helps!

7 0
2 years ago
Someone please help me with an explanation please! Asap would be nice :)
Irina18 [472]

HOW TO DETERMINE SLOPE AND Y-INTERCEPT: Use the instructions below to answer this question.

EQUATION: y=\frac{-3}{4}x-3

-------------------------------------------------

<h2>INSTRUCTIONS:</h2>

FINDING THE Y-INTERCEPT:

Do this simply by finding the number your graph starts at on the Y-Axis (vertical line)! In this case, it's at -3!

FINDING SLOPE:

Remember that slope is rise over run (\frac{rise}{run})

RISE = How far the line goes <em>up </em>and <em>down</em>.

RUN = How far the line goes <em>left </em>or <em>right</em>.

HOW DO I FIND IT? All you have to do is count both rise and run from one point on the line to another! WARNING: The point must hit at a vertex, it cannot be counted if it is in the center of the box, or anywhere that does not touch the edge. I also suggest starting from the <u>Y-Intercept</u> and counting.

GOING LEFT OR DOWN: This is a positive number

GOING RIGHT OR UP: This is a negative number.

(You will see how this applies, below, yayyyy)

CALCULATING OUR NUMERATOR, AKA RISE:

Starting from the y, to get to the next point on the line, you can see we have to go down three. This means our numerator is -3!

CALCULATING OUR DENOMENATOR, AKA RUN:

Starting from where we just stopped, we must continue getting to the next point, and to do that, you can see we have to go to the right four! This means our denomenator is 4!

6 0
3 years ago
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