Answer:
C=6
Step-by-step explanation:
3c-4=14
+4 +4
3c=18
divide on each side 18/3=6
c=6
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Slope :
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Slope = 5/8
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Equation:
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y = 5/8 x + b
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Find y-intercept :
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At (8, 2),
2 = 5/8 (8) + b
2 = 5 + b
b = 2 - 5
b = -3
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Equation :
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y = 5/8x - 3
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Answer: y = 5/8 x - 3
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Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
Answer:
56
Step-by-step explanation:
z varies jointly with x and y:
z = kxy
When x = 2 and y = 2, z = 7.
7 = k(2)(2)
k = 7/4
z = 7/4 xy
When x = 4 and y = 8:
z = 7/4 (4)(8)
z = 56
Factor each out:
11: 1*11
39: 3*13
35: 5*7
8: 2*2*2
since you can see no common factor just multiply them all to get 120120
