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olga2289 [7]
3 years ago
13

Divide f(x) by d(x), f (x)= x^4+2x^3-8x^2-20x+30, d (x)=x^2+2x-3

Mathematics
1 answer:
Savatey [412]3 years ago
7 0
With polynomial long division

x^2-5 with remainder -10x-15
or
x^2-5-(10x+15)/(x^2+2x-3)
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Light travels at 3.0 x 108 km/s. How far does light travel in 5 minutes? A) 1.5 x 1010 km B) 1.5 x 1011 km C) 9.0 x 109 km D) 9.
MaRussiya [10]
<span>D) 9.0 x 10^10 km This is more an exercise in handling scientific notation than anything else. Since we have the distance that light travels in 1 second and we want to calculate how far it travels in 5 minutes, we must first calculate how many seconds are in 5 minutes. Simply multiplying 5 by 60 gives us 300 seconds. Now we need to multiply 300 by 3.0x10^8 km. So 300 * 3.0x10^8 = ? We could first convert 300 into scientific notion, but it's easier to just leave it along and assume that it's 300 x 10^0. So 300 times 3 is 900. And since 0 plus 8 is 8, we have as the answer: 900 x 10^8 But we're not done. The significand has to be greater than or equal to 1 and less than 10. So let's divide 900 by 100 and add 2 to the exponent. So we get 9 x 10^10 Finally, since our data had 2 significant figures, our result should have that as well. So let's add the 2nd digit getting: 9.0 x 10^10 So we know that light travels 9.0x10^10 km in 5 minutes, and that answer matches option "D" from the available choices.</span>
4 0
3 years ago
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sp
vampirchik [111]

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

7 0
3 years ago
How do you solve -2(6x+3)=-27–5x ?
kvasek [131]
Hi!

Our goal is to isolate x on one side by doing the same operation on both sides.

First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x

Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x

Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21

Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3

The answer is x = 3

Hope this helps! :)
8 0
3 years ago
Find a fration or mixed number that is between -3 1/4 and -3 1/8
Alenkinab [10]
A fraction could be -3 1/6
8 0
3 years ago
Help me help me pls............
attashe74 [19]

Answer:

2

sorry i dont know but i think the answer is 2 I am not sure dont bleve me

3 0
3 years ago
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