Answer:
8
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16
Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is 6 .
-16 + 1 = -15
-8 + 2 = -6
-4 + 4 = 0
-2 + 8 = 6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 8
p2 - 2p + 8p - 16
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-2)
Add up the last 2 terms, pulling out common factors :
8 • (p-2)
Step-5 : Add up the four terms of step 4 :
(p+8) • (p-2)
Which is the desired factorization
First we need to put it in slope intercept form (solve for y). Then we get tex]y= -\frac{2}{3} x+490[/tex]. So the slope is-2/3 and the y intercept is 490.
<h2>
Answer:</h2>
The number of scoops of oatmeal he will need for the recipe is:
21 scoops.
<h2>
Step-by-step explanation:</h2>
It is given that:
Beaus recipe for granola bars calls for 3 1/2 cups of oatmeal.
i.e. the cups of oatmeal required is:

i.e.

Also, he has:

This means that:

Answer:
(3)
and 
(4) 
Step-by-step explanation:
Question 3
Required
Solve for x and y
We have:
--- angle on a straight line
Collect like terms


Solve for x


Also:
---- opposite angles
So, we have:



Divide by 2


Question 4:
Required
Solve for x
We have:
---- angle at right-angled
Collect like terms


Divide by 16

Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
= R In that second term, the L's cancel each other out, leaving us with
= R