<h3>
Answer: 25</h3>
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Solve for x by simplifying both sides of the inequality, then isolating the variable.
x < 5
ps: the less than sign has a underline i cant do it through here but you know what i mean.
Answer:
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
Answer:
Step-by-step explanation:
According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).
It is given that 
has a remainder of 14.
Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get
So, by remainder theorem, remainder of is f(-6).
Since the remainder is 14, therefore
Therefore, the answer for first blank is -6 and for second blank is 14, i.e., .
