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densk [106]
3 years ago
12

2x^3y + 18xy - 10x^2y - 90y Part A: Rewrite the expression so that the GCF is factored completely. (3 points)

Mathematics
1 answer:
Verizon [17]3 years ago
4 0
2y(x3+9x-10x2-45) not much to be taken as a common factor
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I don’t understand this.. <br> will someone please help? Will mark Brainliest along with 20 points.
inn [45]

To say two quantities a and b "vary directly" with one another means that a change in one of the quantities results in a proportional change in the other quantity. For example, if a=2b, then b is proportional to a by a factor of 2, or a is proportional to b by a factor of 1/2. In other words, if you change b by some fixed amount, then a changes by double that amount.

Mathematically this means there is some constant scaling factor k such that a=kb. In question 4, we're told f(x) varies directly with x^2, which means there's some k such that

f(x)=kx^2

We're given that f(x)=40 when x=2, so

40=k\cdot2^2\implies40=4k\implies k=10

Then when x=5, we get

f(5)=10\cdot5^2=10\cdot25=250

- - -

For a,b to "vary inversely" with one another means that a change in one quantity results in an "opposite" change in the other. In other words, if a increases, then b decreases, and vice versa.

Mathematically, this is the same as saying there is some fixed number k such that ab=k.

For example, if k=1 and we start with a=1, then b=1 also. If we change to a=2, then b=\dfrac12; if a=10, then b=\dfrac1{10}, and so on.

In question 5, we're told f(x) varies inversely with x, so that there is some constant k for which

x\,f(x)=k

When x=4, we have f(x)=6:

4\cdot6=k\implies k=24

Then for x=8, we get

8\,f(8)=24\implies f(8)=3

5 0
3 years ago
An arc that measures 180 degrees is called a
Aleks04 [339]
An arc that measures 180 degrees is called a semicircle.

If it measures less than 180 it’s a minor arc.

If it measures greater than that it’s called a major arc
6 0
3 years ago
Town A is 14 feet below sea level and town B is 489 feet above sea level what is the difference in elevation between town A and
amm1812

Answer:

Are there any answer choices?

Step-by-step explanation:

3 0
3 years ago
Chrissy had 4/5 of a dollar she spent 3/4 of her money on ice cream. how much money did she have left after buying ice cream?
Akimi4 [234]
Chrissy had $0.20 left after buying the ice cream.
8 0
4 years ago
Read 2 more answers
What is the value of x? Sin(x)=cos(81)
RUDIKE [14]

Answer:

0.98768834034243

Step-by-step explanation:

Since 81 is smaller than 90, it is located in the first quadrant and in the first quadrant, the values for sin, cos and tan are always positive.

sin(81)= 0.98768834034243

8 0
3 years ago
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