Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
On cross multiplication, we get
Taking square root on both sides.
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
<h3>
Answer: -4 (choice B)</h3>
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Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
110.231 pounds
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Answer:
7%
Step-by-step explanation:
(15/220) x 100 = 6. 8182 = 7%
to convert to percentage multiply by 100
To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6
We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.
(x - 2)(x - 9)(x - 1)
(x - 2)x^2 - x - 9x + 9
Combine like terms.
(x - 2)x^2 - 10x + 9
FOIL again.
x^3 - 10x^2 + 9x - 2x^2 + 20x - 18
Combine like terms.
x^3 - 12x^2 + 29x - 18
<h3><u>The listed factors are not true factors of the given polynomial.</u></h3>
