Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
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f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
Write and solve an equation of ratios, as follows:
15 250
----- = ------- = 10/12.
x 300
Then 15(12) = 10x, and x = 18. The company could well predict that 18 out of the 300 phones it sells in July will be defective, based upon past history.
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Divide by 2/3 on both sides :
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Change the divide fraction to multiplication fraction :
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Simplify :
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Square root both sides :
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Answer :
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Answer: The smallest possible value of x is -6---------------------------------------------------------------------
Answer:
There are 3 possible answers because you didn't state which value was base or height.
Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*8)
A = 1/2(120)
A = 60
Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)
A = 1/2(b*h)
A = 1/2(17*8)
A = 1/2(136)
A = 68
Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)
A = 1/2(b*h)
A = 1/2(15*17)
A = 1/2(255)
A = 127.5
You have to find what 2 times 2 is which is 4, then you have to subtract 4 from 52, which is 48 and the you have to add -4 plus 7 , which would be 3. Then you add 48 plus 3 and you would get 51.
