If

, then you have


By the intermediate value theorem, there will be some number

such that

(i.e.

will have a root in

) if you can guarantee that

or

.
Since the coefficients

are all positive, then you know right away that

, so you need to have

in order for there to be such a

.
This means you need to have

which means (A) must be the answer.
The answer is -3 because
-|28|= -28 now the problem looks like -28+(-5)^2
(-5)^2=25
-28 +25= -3
Since Joe has 5/6 pounds left and he only needs 1/3 pounds
each day to feed the birds, therefore the number of remaining day’s worth of
seed is:
days = (5/6) / (1/3) = 2.5
The remaining seed can run up to 2 and half days. This also
means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is
equivalent to 1/6 pound. Therefore the correct rectangle model to use is:
<span>Rectangle
model divided into 3 equal sections, two sections are labeled one-third and one
section is labeled one-sixth, equaling two and one-half days.</span>
Answer (Note: the bold are answers):
First question answer:
Point = (3,1)
Slope = 3
y = 3x + b
(1) = 3(3) + b
1 = 9 + b
1 - 9 = b
-8 = b
y = 3x - 8
The second question answer:
y = mx + b
Get two points:
(3,-7) and (4,-11)
m = -11 - (-7) / 4 - 3
m = -11 + 7 / 1
m = -4 / 1
m = -4
b = + 3
y = -4x + 3