Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer: 5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
4
+
1
2
Answer:
45 sq.units
Step-by-step explanation:
to get area of a triangle, it would be base*height/2, so 15*6/2 would be 90/2, which ends up being 45, which is the answer.
Answer:
5x+15y=85
Step-by-step explanation:
X and Y are the unknown variables, just add them to 5,(cars), and 15 (minibus)
Answer:
c. 7.527
Step-by-step explanation:
We know that 78 percent of the bar is gold and the total weight is 9.65 ounces. Just multiply the total weight by 78%.
9.65(0.78)=7.527
