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rosijanka [135]
3 years ago
13

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

Answer: Third option is the right answer.

Step-by-step explanation:

First we the write the expression

(a+b)(a^{2}+b^{2}-ab)

Now teacher says that the product of these polynomials will result in the sum of  a^{3}+b^{3}

Now the teacher ask if we put the value of a = 2x and b = 1 then what will be the expression look like.

(2x+1)\left [ (2x)^{2}+(1^{2})-(2x)(1)\right ]

=(2x+1)(4x^{2}+1-2x)

So third option is looking like our expression.

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Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that
zlopas [31]

Answer:

y +5 = -\frac{2}{3}(x - 4)

Step-by-step explanation:

Given

y = -\frac{2}{3}x + 8

Point (4,-5)

Required

Determine the line equation

From the question, we understand that the line is parallel to y = -\frac{2}{3}x + 8

This implies that they have the same slope, m

A linear equation is:

y = mx + b

Where

m = slope

By comparison: y = mx + b and y = -\frac{2}{3}x + 8

m = -\frac{2}{3}

Next, we determine the line equation using:

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (4,-5) and m = -\frac{2}{3}

y - (-5) = -\frac{2}{3}(x - 4)

y +5 = -\frac{2}{3}(x - 4)

Hence,

<em>Option C is correct</em>

<em />

4 0
3 years ago
Please help fast will mark 5 stars
vredina [299]

Answer:

1 solution

Step-by-step explanation:

The lines intersect 1 time

5 0
3 years ago
Read 2 more answers
Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of t
slega [8]
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
3 0
3 years ago
Danielle earns a 7.75% commission on everything she sales at the electronic store where she works. She also earns a base salary
Andrew [12]

The first thing thing you must do is create an equation for this problem. Remembering that 7.75% = 0.0775

($4,100 × 0.0775 + $4,100 ) + $600

Now, all you have to do is solve it. You will first have to start with the numbers in the parenthesis using the order of operation (PEMDAS).

P = Parenthesis

E = Exponent

M = Multiplication

D = Division

A = Addition

S = Subrtaction

$4,100 × 0.0775 + $4,100 ) + $600

$4,417. 75 + $4,100 + $600

$4,417. 75 + $600 = $5,017.75

Danielle made $5,017. 17 last week.

I hope this helps! :)

4 0
3 years ago
Can you please help and explain I will give brainliest or thanks
9966 [12]
 ok so the answers are going to be in order so..... 12, 3.5, and 31.5. if u need help, yell at me on my profile.
4 0
3 years ago
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