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aivan3 [116]
2 years ago
14

6x+7x^2 Factor the expression completely.

Mathematics
1 answer:
Anettt [7]2 years ago
7 0

Answer:

x(6+7x)

Step-by-step explanation:

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1. What is the fourth term in the expansion of (x + 4y)^6?
aev [14]
For the fourth term r = 3
Fourth term = 6C3(x)^(6 - 3) (4y)^3 = 20x^3 (64y^3) = 1,280x^3y^3
7 0
3 years ago
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional 515 for any other services. Write a function to
V125BC [204]

Answer:

you have a fixed rate of $25, meaning you get a haircut, it's $25

ANY other service is an extra $15

So, let's make the equation...

y=15x+25

Now, to just get a haircut it's $25.

But, let's say you get a haircut+shampoo

It'd be..

y=15(1)+25

y=$40

Another one..

You get a haircut+shampoo+highlight

y=15(3)+25

y=$70


6 0
3 years ago
The angle measurements in the diagram are represented by the following expressions.
aliya0001 [1]
Angle a and b are supplementary angles which means that when added they equal 180.
so we must set our equation equal to 180.
8x+74+2x+56=180
which simplifies to 10x+130=180
then subtract 130 from both sides.
10x=50
x=5

So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees
8 0
3 years ago
1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
Vadim26 [7]

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

4 0
2 years ago
)A bicyclist rides 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
gogolik [260]
280 minutes cause you have to elim
4 0
3 years ago
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