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saul85 [17]
3 years ago
13

3. A system of functions is given. Select

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

Step-by-step explanation:

The easiest way is to graph both functions and see where they intersect.  The intersection is where f(x) = g(x).

f(x) = -x² - 3x + 6

g(x) = 2x² + 5x + 3

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What is the missing number? 7/18 21/?
Taya2010 [7]

Answer:

d

Step-by-step explanation:

7x3=21

18x3=54

7 0
3 years ago
Read 2 more answers
What is the GCF of 26 48 62
Bingel [31]
What factors to they have in common?

First, they're all even, so 2

if we divide all of them by 2, we get:
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now, 13,31 are primes: so that means that those numbers don't have any more common factors!

So the greatest Common Factor of those 3 numbers is 2.
8 0
3 years ago
What is 26 1/2 divided by 6 5/8??
mariarad [96]
The answer is 4 So yeaaaa....
5 0
3 years ago
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y
Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 

(x - x^2)^2 * sqrt(3)/4. 

Integrating from x = 0 to x = 1, we have 

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

8 0
3 years ago
Let f(x)=x^2+5x-8. What is the average rate of change from x = 2 to x = 6? Enter the answer in the box ___
koban [17]

Answer:

13

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [2, 6 ]

f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58

f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6

Hence

average rate of change = \frac{58-6}{6-2} = \frac{52}{4} = 13

5 0
3 years ago
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