Answer:
y = -5
Step-by-step explanation:
Isolate y:
-3x + 9y = -57
9y = -57 + 3x
y = (-57/9) + (3/9)x
Substitute for x:
y = (-57/9) + (3/9)(4)
y = (-57/9) + (12/9)
y = (-45/9)
y = -5
To solve this we will first see how many hats Susan has left when she lets her friends borrow the hats.
45 - 3 = 42
42 - 2 = 40
So, Susan has 40 hats left after her friends borrowed some. Now lets divide to see how many hats will go in 1 cupboard.
40 ÷ 20 = 2
2 hats in each cupboard.
CHECK OUR WORK:-
20 × 2 = 40.
We were RIGHT!!!
So, after Susan's friends borrow some of her hats she can put 2 hats in each cupboard.
Hope I helped ya!!
The chart I've attached is very helpful for these types of problems!
A 270 degree rotation clockwise is (-y, x).
X = 3
Y = -2
V' = (2, 3)
Hope this helps! :)
Answer:
Step-by-step explanation:
f(x) = 5x + 1
Given these two points on the graph of g(x), we must determine the slope, m, of the line. Going from (-4, 2) to (2, 14), x (the run) increases by 6 and y (the rise) increases by 12, so the slope is m = rise/run = 12/6, or m = 2. Adapting the slope-intercept form y = mx + b, we find b as follows:
14 = 2(2) + b, or 14 = 4 + b, or b = 10. Then <em>g(x) is 2x + 10</em>.
Comparing f(x) = 5x + 1, we determine whether each of the four statements is true or false:
A is false; the respective y-intercepts of f and g are 1 and 10.
B is true: the respective y-intercepts of g and f are 10 and 1.
C is false; neither y-intercept is 7.
D is false. 1
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