Step-by-step explanation:
Just pick a bunch of values of x, and use the formula to find the corresponding value of y.
For example
When x = 0, y = 0+5 = 5 ----> Plot the point (0,5) on graph paper
When x = 1, y = 1+5 = 6 ----> Plot the point (1,6) on graph paper
When x = 2, y = 2+5 = 7 ----> Plot the point (2,7) on graph paper
Then connect the dots to get a linear graph. You should get a graph that looks like the one attached.
They would need 34.125 tons of rations.
In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.
16,380/3 weeks= 5460 lbs per week
5460/520 soldiers = 10.5 lbs per soldier per week
Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.
10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week
Then we have to multiply by the 5 weeks that battalion will be there.
13,650lbs * 5 weeks = 68,250lbs of rations or 24.125 tons.
She could put 6 stamps on 4 pages, and 9 stamps on the other pages
6 * 4 = 24
78 - 24 = 54
54/9= 6
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30
The answer is D
3*-42=-126
The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)
