Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
Answer:
x=0, y=-2
Step-by-step explanation:
Because 9y appears twice in both equations, you can subtract the equations to eliminate the y variable so you can solve for x:
-7x + 9y = -18
-(4x + 9y = -18)
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-11x = 0
x = 0
Since we know x=0, then we plug it back into one of the equations to get the value of y:
-7x + 9y = -18
-7(0) + 9y = -18
0 + 9y = -18
9y = -18
y = -2
Therefore, x=0, and y=-2
Answer:
V = 8/125 cubic units
Step-by-step explanation:
This prism is actually a cube of side length 2/5.
The volume of a cube of side length s is V = s^3.
Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or
V = 8/125 cubic units
Answer:
$385
Step-by-step explanation:
This would be 50x7=350
And 60 is 10 over 50, we half his salary($3.50), and multiply $3.50 by that extra 10. coming to $35. Add 35 to 350 to get his $385 60 day salary
