Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
___
1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
__
2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
|x − 0.5| = 0.05
Step-by-step explanation:
Here x represents the diameter,
Since, an error of 0.05 millimeters is allowance in diameter,
Thus, the maximum acceptable diameter = x + 0.05,
And, the minimum acceptable diameter = x - 0.05
According to the question,
The holes will have a diameter of 0.5 millimeters,
Thus, x - 0.05 < 0.5 and 0.5 < x + 0.05
⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05
⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05
⇒ |x-0.5| < 0.05
⇒ Option D is correct.
So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
Answer:
Step-by-step explanation:
m∠OPQ = 23°
Answer:
<h2>416m^2</h2>
Step-by-step explanation:
<h3>Area = Length * Width</h3><h3>Volume = Length * Width * Height</h3>
<h3>As we all can see,from the question we were given the parameters for calculating volume instead of the ones for calculating "area"</h3>
<h3>But from the the parameters, we can calculate for the total surface area</h3>
<h3>Floor = 12m ×10m = 120m^2</h3>
<h3>Roof = 12m × 10m = 120m^2</h3>
<h3>Front and back walls (x2) = 10m × 4m ×2 = 80m^2</h3>
<h3>Side walls (x2) = 12m × 4m × 2 = 96m^2</h3><h3>Total surface area</h3>
<h3>= 120m^2 + 120m^2 + 80m^2 + 96m^2</h3>
<h3>= 416 m^2</h3>
