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Solve this I will graph it
Y greater than or equal to -4
Xgreater than or equal to 5
8-3x>_ 23 and 4x-4> 8
-3x >= 15 and 4x > 12
x <= -5 and x > 3
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-----]
(------
-3/8x>_ -7/16
Multiply by -8/3 and flip the sign:
X <= 7/6
Hockey team receive 2 points when they win and 1 when they tie. One season, a team won a
championship with 69 point. They won 12 more games than they tied. How many wins and how many
ties did the team have?
W = 12 + t
2w + t = 69
2(12+t) + t = 69
24 + 3t = 69
3t = 45
T = 15
W = 27
8x-b<_ -5 or x-8>_ 7
PLEASE REWRITE THIS ONE, should it say “b”?
¾{5x-1/2}-2/3<4/3
Add 2/3
¾(5x – ½) < 2
Mult 4/3:
(5x – ½) < 8/3
Add ½:
5x < 19/6
Divide by 5:
X < 19/30
The body mass index, I, can be used to determine an individual's risk for heart disease. An index less
than 25 indicates a low risk. The body mass index is given by formula, or model, I= 700w/h to second
power, where w = weight, in pounds. And h = height, in inches. Jerome is 76 inches tall. What weights
will keep his body mass index between 19 and 28?
PLEASE confirm that it says 700w/h^2, not just h, but h squared
19 < 700*w/76^2 < 28
19*76^2 < 700w < 28*76^2
19*76^2/700 < w < 28*76^2/700
Rounded:
157 < w < 231
0.3x-0.2y = 4
0.2x+0.5y = -75/17
X = 100/17
Y = -190/17
The perimeter of a rectangle is 208 inches. The length exceeds the width by 70 inches. Find the length
and the width.
208 = 2w + 2l
L= w + 70
208 = 2w + 2(w+70)
208 = 4w + 140
4w = 68
W = 17
L = 87
Solution is (5,-5)
Is the system consistent or inconsistent and are they dependent or independent
Consistent, independent (since there is exactly one solution)
A bank offers two checking plans. The anywhere plan charge 25 cents per check. The accucheck plan
costs 4.48 A MONTH, PLUS 19 CENTS PER CHECKS.
For what number of check will the accucheck plan cost less than anywhere plan?
25x = 448 + 19x
6x = 448
X = 74.6666666
Round to 75 checks
Solve . clssify the system as consistent or inconsistent and the equation as dependent or independent.
6x- y =31
6X+7Y = 23
X = 5, y = -1
Y + 2< 6
Y<4
2 3 4 5 6
-------)
X + Y<4
WRITE INTERVAL FOR THE SET{X|-1>X>-5}
(-5,-1)
--- assuming that there are no >=
Solve . clssify the system as consistent or inconsistent and the equation as dependent or independent.
X= 9
Y= -8
PLEASE rewrite this
Solve by the substitution method
8x +3y = -47
-5x + y = 38
X = -7, y = 3
Determine whether the given numbers are solution of the inequality
1,-17,-11,-2
y-10>2y-4
-y-10 > -4
-y > 6
Y < -6
1 NO,
-17 YES,
-11 YES
,-2 NO
5(5-4x) + 7x < 4 (7 +4x)
25 – 20x + 7x < 28 + 16x
25 – 13x < 28 + 16x
-13x < 3 + 16x
-29x < 3
X > -3/29
Solve by the elimination method
3x + 3y = -21
4x- 3y = -42
X = -9, y = 2
Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turn out twice
as many units of plywood as lumber. It makes a profit of $25 on a unit of lumber and $50 on a unit of
plywood. How many of each unit must be produced and sold in order to make a profit of $13000.
P = 2L
25L + 50P = 13000
25L + 100L = 13000
L = 104
P = 208
Determine whether the ordered pair is a soution of the inequality
(-6,8); 4x + y<-8
4*-6 + 8 = -16
YES, -16 < -8