solve for x.
4x−5=7+4y
Add 5 to both sides.
4x−5+5=4y+7+5
4x=4y+12
Divide both sides by 4.
4x/4=4y+12/4
x=y+3
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Answer:
5,280
Step-by-step explanation:
Answer:
The graph of
crosses the x-axis at (1,0) and (-4, 0). It touches the x-axis at (-5, 0).
Step-by-step explanation:
g(x):
.
There are three factors:
- (x - 1), where k = 1,
- (x - (-4)), where k = -4, and
- (x - (-5)), where k = -5.
The first and second factors are raised to odd powers. The graph will cross the x-axis at all these two points:
- (1, 0) as a result of the factor (x - 1),
- (-4, 0) as a result of the factor (x - (-4)).
The third factor is raised to an even power. The graph will touch the x-axis at that point.
- (-5, 0) as a result of the factor (x - (-5)).
Answer:
P + M = 30
700P + 200M = 15000
Number of laser printers = 18
Number of color monitors = 12
Step-by-step explanation:
Let P = number of laser printers
Let M = number of color monitors
Given total number of boxes = 30
⇒ P + M = 30
Given:
- $700 = cost of laser printer
- $200 = cost of color monitor
- $15000 = total cost of order
⇒ 700P + 200M = 15000
Rewrite P + M = 30 to make P the subject:
⇒ P = 30 - M
Substitute into 700P + 200M = 15000 and solve for M:
⇒ 700(30 - M) + 200M = 15000
⇒ 21000 - 700M + 200M = 15000
⇒ 500M = 6000
⇒ M = 12
Substitute found value for M into P = 30 - M and solve for P:
⇒ P = 30 - 12 = 18