Answer:
x > 77
Step-by-step explanation:
According to order of operations rules, we must carry out division before addition or subtraction. In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:
X/7-3>8
+3 +3
--------------
x/7 > 11
The easiest way in which to solve for x is to multiply both sides of this inequality by 7:
7(x/7) > 7(11), or
x > 77
All numbers greater than 77 are part of the solution set.
A. x = -2 and y = -5
check:
x^2 - 9 = 0
B. x = 0 and y = -6
check:
x^2 - 6 = 0
C. x1 = 3, x2 = 5
check:
(x - 3)(x - 5) = 0
D. x1 = 0, x2 = 4
check:
x(x - 4) = 0
Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)
The machine makes 95 boxes an hour. Hope this helps
Answer:
-2 is the slope, if you divide -8/4 you get your answer
