Answer:
A.)
Step-by-step explanation:
A.)
3s + 4j = 360
1s + 3j = 220
This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).
Now substitute into the first equation:
3(220 - 3j) + 4j = 360. Solve for jackets.
660 - 9j + 4j = 360 [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.
Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s = 40
Now we double check.
3(40) + 4 (60) = 120 + 240 = 360. This satisfies the first equation.
We could check the second one too, but I'm satisfied.
Answer:
See below ↓
Step-by-step explanation:
The relation is :
- Let y = Motor Speed and x = Voltage
- y = 25x
<u>Title</u> : Variation of Motor Speed with Applied Voltage
<u>x-axis label</u> : Voltage (volt)
<u>y-axis label</u> : Motor speed (rpm)
As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.
Answer:
R1 - given
R2 - subtraction property of equality
R3 - distribution
S4 - 9x = 61
R5 - division prop. of equality
Step-by-step explanation:
hope this helps :)
F(x) = x^2 + 24x + 138
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6
