Answer:
Step-by-step explanation:
Distance upstream = (34-c)(39/60) miles
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Distance downstream = (34+c)(29/60) miles
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Equation:
distance = rate*time
distance up = distance down
(34-c)(39/60) = (34+c)(29/60)
Multiply both sides by 60 to get:
39(34-c) = 29(34+c)
39*34 - 39c = 29*34 + 29c
68c = 340
c = 5 mph speed of the current
Answer:
-56
Step-by-step explanation:
f(x) = 7x + 7
x = -9
We meed to plug in x = -9 into the first equation:
f(-9) = 7(-9) + 7
We can open up the parentheses:
f(-9) = -63 + 7
And then simplify:
f(-9) = -56
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
k < 4
Interval Notation:
(−∞, 4)
9514 1404 393
Answer:
$7.10
Step-by-step explanation:
Nevach's rate can be found by using x=1 in the equation for his pay.
y = 28.5 × 1 = 28.50 . . . . dollars
Carson's hourly rate can be found by dividing dollars by hours:
$214/(10 h) = $21.40/h
Nevach's rate exceeds this by ...
$28.40 -21.40 = $7.10
Nevach earns $7.10 more per hour.
Answer:
x = -3 and x = 3/2
Step-by-step explanation:
2x^2 + 3x - 9 = 0
2x^2 + 6x - 3x - 9 =0
2x(x + 3) - 3(x + 3) = 0
(2x - 3)(x + 3) = 0
2x - 3 = 0; x = 3/2
x + 3 = 0; x = -3
