Answer:
-18
Step-by-step explanation:
F(x)=-2x^2
f(-3) means substitute x with -3
= -2(-3)^2
= -18
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Step-by-step explanation:
area of equilateral ∆ =
here a = 3
area of ∆ = 3.9 in^2
area of circle
= 19.63 in^2
area of shared region = 19.63-3.9= 15.73 in^2
Answer:
Option C: (5/4)x - 2 = (3/2)x - 4
Step-by-step explanation:
A) (5/2)x + (7/2) = (3/4)x + 14
Multiply through by 4 to get;
10x + 14 = 3x + 56
10x - 3x = 56 - 14
7x = 42
x = 42/7
x = 6
B) (5/4)x - 9 = (3/2)x - 12
Multiply through by 4 to get;
5x - 36 = 6x - 48
6x - 5x = 48 - 36
x = 12
C) (5/4)x - 2 = (3/2)x - 4
Multiply through by 4 to get;
5x - 8 = 6x - 16
6x - 5x = 16 - 8
x = 8
D) (5/2)x - 7 = (3/4)x + 14
Multiply through by 4 to get;
10x - 28 = 3x + 56
10x - 3x = 56 + 28
7x = 84
x = 84/7
x = 12
let the weight of the second alloy be y
convert the percentage to fraction, that is 10/100=0.1, 18/100=0.18, 13/100=0.13
Total weight if the mixture is 0.1 x 25+0.18y=0.13(25+y)
2.5+0.18y=3.25+0.13y
like terms together
0.18y +0.13y = 3.25-2.5
0.05y=0.75
divide both side by 0.05
Y is therefore 15 pound of 18% copper is needed
Answer:
slope = 0
Step-by-step explanation:
The line shown is horizontal and parallel to the x- axis.
Since the x- axis has a slope of zero
Then the given line has a slope = 0
