Is this Linear?
x y
0 7
5 16
10 25
15 35
20 44
25 53
Not linear - from x = 10 --> 15 the y values do not follow the same pattern.
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y = -5/4x + 8
A = bh
Solve for h
h = A
h
2x - 8 > 16
x > 12
5x - 10 = 25
x = 7
Is this table linear?
x y
-4 13
-1 19
2 25
5 31
8 37
y = 2x + 17
Write the equation from the table:
x y
2 114 23
6 35
8 47
y = 2x + 9
W = 2d + n
Solve for d
d = w-n
2
4(x + 3) < -24
3(4x - 2) = 34
3.333...
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How much gas can be bought for $58.75?
15 and 2/3
OR 15.666...
Create the equation from these two points:
(6,29) (10, 39)
y = 5/2x + 14
(1/3)bh = A
Solve for h
h = 3A
b-2(3x + 8) >= 48
x<=10.666
y = 4x + 16
solve for x and y intercepts
x = -4
y = 16
Show increasing graph with negative y-int. What is the y value when x = 36?
420
What is the equation when
x-intercept = (11,0)
y - intercept = (0, -7)
y = 7/11x - 7
A = 2pi(r)2h + L
Solve for h
h = A-L
2pi(r)2
1/2 (-2x + 12) <= 18
x >= -6
Solve for x/y intercepts.
3x - 7y = 63
x = 21
y = -9
Mike buys $40 dollars of lemonade supplies. He sells the lemonade $2 per cup until he makes his money back. After he makes his money back he sells it for $1 a cup. Write the piecewise function for the two equations in this case with the appropriate "b" values
Jake would have to 20 cups so the 'changing' point would be 20.
y=2x 0<x<20
y=1x+20 20<x
Slope = 2/3
point = (5, 9)
y = 2/3x + 1.5
A2+B2=C2
Solve for B
B = sqrt(C2-A2)
8 < 2x < 17
Write the answer on a number line and use interval notation.
4 < x < 8.5
8(x + 4) - 2(x - 1) = 70 - 3x
x = 4