Answer:
13 Quarters
Step-by-step explanation:
Let <u>D</u> and <u>Q</u> stand for the numbers of Dimes and Quarters.
We are told that:
D + Q = 31
We also find that:
D = Q + 5
Use the second expression (for D) in place of D in the first equation:
D + Q = 31
(Q+5) + Q = 31
2Q = 26
<u>Q = 13</u>
This means there are:
D = 13 + 5 or <u>18 Dimes</u>
======================
Check
D + Q = 31 ?
18 + 13 = 31 <u> YES</u>
D = Q + 5 ?
18 = 13 + 5 <u>YES</u>
There's no if about it,
has a zero
so
is a factor. That's the special case of the Remainder Theorem; since
we'll get a remainder of zero when we divide
by
At this point we can just divide or we can try more little numbers in the function. It doesn't take too long to discover
too, so
is a factor too by the remainder theorem. I can find the third zero as well; but let's say that's out of range for most folks.
So far we have
where
is the zero we haven't guessed yet. Again we could divide
by
but just looking at the constant term we must have
so
We check
We usually talk about the zeros of a function and the roots of an equation; here we have a function
whose zeros are
Size of the rectangle is changed, so it cannot be a translation.
This is a dilation, so Teagan is correct.
C. Teagan is correct because the unshaded rectangle is smaller than the shaded rectangle.
Step-by-step explanation:
log 47.2 in four decimal places
= 1.6739