<h3>
Answer: -13</h3>
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Explanation:
g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)
g(1) = -4 means we have the point (1,-4)
Find the slope of the line through the two points (-3,2) and (1,-4)
m = (y2-y1)/(x2-x1)
m = (-4-2)/(1-(-3))
m = (-4-2)/(1+3)
m = -6/4
m = -3/2
m = -1.5
The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5
Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b
Let's solve for b
2 = -1.5*(-3)+b
2 = 4.5 + b
2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides
-2.5 = b
b = -2.5
Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5
The last step is to plug in x = 7 and compute
g(x) = -1.5*x - 2.5
g(7) = -1.5*7 - 2.5
g(7) = -10.5 - 2.5
g(7) = -13
Answer is a.
Due to BIDMAS/BODMAS
anything that is first, in this case division, goes into brackets.
6 divided by 3 would go into brackets making you solve that first then u would subtract your answer by 12 making your answer 4
Answer is a.
a.
Let the hours Kade worked = X
Theo would be X - 3 ( 3 less than Kade).
Now you have:
X + X -3 = 27
Combine like terms:
2x - 3 = 27
Add 3 to each side:
2x = 30
Divide both sides by 2:
x = 15
Kade worked 15 hours.
Theo worked 12 hours.
Answer:
Step-by-step explanation:
3n+2)! / (3n-3)! = (3n+2)*(3n+1)*(3n)*(3n-1)*(3n-2)*(3n-3)! divided by (3n-3)! which becomes:
23! / 18! = (23 * 22 * 21 * 20 * 19 * 18! divided by 18! which becomes:
(23 * 22 * 21 * 20 * 19)
the result is 4037880
i used my ti-84 to take 23! and divide it by 18! and i got 4037880.
this confirms the solution is correct.
If the question is asking how many trees can be planted with 6 cubic yards of compost, here is the solution.
6 divided by 1/6 means to take 6 wholes and break them into groups the size of 1/6.
One whole can be broken into 6 groups of 1/6 (6/6), so 6 wholes can be broken into 36 groups of 1/6 (6 x 6 = 36/6).
Mathematically, you will multiply 6 by 6/1 to get the 36.
You can plant 36 trees with 6 cubic yards of compost.
