<h3>
Answer: -13</h3>
=======================================
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:
3.
Step-by-step explanation:
4$ = 1 pack
(think: what times 4 is 12? 3! so we need to muliply both sides of the equal sign by 3, so we can turn the 4 into a 12. Remember, what you do to on side, you must do to the other. )
4$ = 1 pack
*3 *3
12$ = 3 packs
so your answer is 3.
Volume = Length x Width x Height
Volume = 80 x 45 x 12
Volume = 43200 ft³
Cost per cubic foot = $625 000 ÷ 43200
Cost per cubic foot = $14.47
----------------------------------------------
Answer: $14.47 per cubic foot.
----------------------------------------------
Answer:
Solve 3-6x >= 0
6x <= 3
x <= 1/2
Domain: All Real Numbers <= 1/2
First, you would add 4 to 4 and get 8.
Then, you would set up the proportion 8/52.
Simplify this proportion, which equals 2/13.
There is a 2 in 13 chance to draw a card that is a king or a queen from the deck.
