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ollegr [7]
3 years ago
6

Expand and simplify this can you help  (2x²−3x+4) ( x²+5x−7) 

Mathematics
1 answer:
Burka [1]3 years ago
3 0
(2x^2-3x+4) ( x^2+5x-7)= \\ \\=2x^2*x^2+2x^2*5x-2x^2*7-3x*x^2-3x*5x+3x*7+4*x^2+4*5x-4*7=\\ \\=2x^4+10x^3-14x^2 -3 x^3-15x^2+21x +4 x^2+20x-28=\\ \\=2x^4+7x^3-25x^2 +41x -28


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What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell
Sphinxa [80]

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

<h2> <em><u>-5n + 13</u></em></h2>

8 0
3 years ago
Read 2 more answers
A 6-pack of capri-Suns costs $8.80 .How much would a 24-pack cost if the costs are proportional
andrew11 [14]
Now, in a 6-pack, there are 6 bottles, 6-pack.

in a 24-pack, there are 24 bottles, 24-pack.

so, if 6 bottles, cost 8.80, how much will it be for 24 bottles then?

\bf \begin{array}{ccll}&#10;bottles&price\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;6&8.80\\&#10;24&p&#10;\end{array}\implies \cfrac{6}{24}=\cfrac{8.80}{p}\implies p=\cfrac{24\cdot 8.80}{6}
5 0
3 years ago
Find the volume of the cylinder in terms of x?
Butoxors [25]
V=127.16pi m^3

The formula for the Volume of a Cylinder is V=(pi)r^2h

First we have to fill in the variables with the information we have. The radius is 3.4m. The height is 11m. We want to leave the answer in terms of pi, so we won't multiply by pi at all. Let's plug it in.
V=(pi)3.4^2•11

To square a number we multiply it by itself, so 3.4 • 3.4 equals 11.56.
V=(pi)11.56•11

Next, we multiply the radius squared, which we already found by the height of the cylinder which is 11. 11.56 times 11 equals 127.16.

V=127.16pi
We found the final answer and don't use pi since we want it in terms of pi. Since a Cylinder is a 3-D figure, that means the units of measurement is cubed.

The answer is A) 127.16pi m^3



4 0
3 years ago
A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the p
motikmotik

x = 26 m is the width of the pool, length: 29+4 = 33 m.

<u>Step-by-step explanation:</u>

We have A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the pool walk is 372 square meters more than the area of the pool.

Let the width of the pool = x

Then the length will = (x+4) ,over all  dimensions will be (x+6) by (x+6+4) or (x+10)

Total area - pool area = 372

(x+10)*(x+6) - x(x+4) = 372\\x^{2}+16x+60-x^{2}-4x = 372\\12x+60 = 372\\12x = 372-60\\12x = 312\\x = 26

∴ x = 26 ft is the width of the pool, length: 29+4 = 33 ft

7 0
3 years ago
A line containing the points (4, y) and (-3, 2) has a slope of 3/2.
Sonbull [250]

Answer:

y=14.5

Step-by-step explanation:

A slope of 3/2 means that for every unit it moves to the right, it will move 1.5 units up. The x of 4 is 7 more than the -3 of our other point. 7*1.5=12.5, and 12.5+2=14.5.

6 0
3 years ago
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