Answer:
F= 3x^2
Step-by-step explanation:
1) Multiplying exponents causes them to add, for instance if you were to multiply x^3 * x^4 the final product would be x^7. If you were to divide exponents then they would subtract.
2) Similarly in this problem you would determine the missing factor by dividing the product from -10x^3
3) Using the steps above, begin dividing.
-30x^5 / -10x^3
4) -30 divided by -10 is 3 and as mentioned in step number one, you subtract exponents whenever they are divided by each other. 5-3=2
5) Due to all of the steps mentioned above, The answer is 3x^2
9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
-4/3 = (6 - y)/[4-(-2)]
-4/3 = (6-y)/6
(-4/3)×6 = 6-y
-8 = 6-y
y = 6 + 8
= 14
The results of her effort can be grouped
into two general categories:
<u>Category #1:</u>
The box does <u>not</u> move.
<u>No</u> work is done.
<u>Category #2:</u>
The box <u>does</u> move.
Work <u>is</u> done.
9514 1404 393
Answer:
$850
Step-by-step explanation:
The amount of interest earned is ...
I = Prt . . . . . on principal P at annual rate r for t years
Using the given values, the interest earned is ...
I = $2000·0.0425·10 = $850
The interest Rozlyn's account earns in 10 years is $850.
