Answer:
see below
Step-by-step explanation:
If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.
Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.
Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.
The draw an inscribed polygon inside the circle, the very thing to do is to draw the circle. Thus, the answer is the fourth choice, "Place a point on your paper and then use a compass to construct a circle". After which, we can locate the vertices of the polygon in the circumference of the circle and connect them to make the polygon.
9514 1404 393
Answer:
$54
Step-by-step explanation:
(450 mi)×($3.00/gal)/(25 mi/gal) = $(450×3/25) = $54
It will cost $54 for Carl to get to his grandparents' house.
Answer:
x=6
Step-by-step explanation:
So, x is our unknown variable. An so you have to ask yourself, what times 12= 72? The answer would be 6, because 12x6=72
The proper way to do it, would be to divide 12/12 so you isolate the variable, and what you do to one side, you do to the other, so divide 72 by 12 and you get 6! Hope this helps!
If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element
, every next element is given by adding a fixed number, called common difference,
. So, the first terms are
So, you can see that the element
is obtained by adding n times the common ratio to the starting element.
Since the element
represents the cost after n years, we are interested in the element

As we had already calculated.