Answer:
Overall, the steps for algebraically finding the range of a function are:
1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2.Find the domain of g(y), and this will be the range of f(x).
3.If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
Answer:
1.1m
Step-by-step explanation:
Let L denote longer pipe and S denote shorter part
given:
L:S = 9:2
or L/S = 9/2
2L = 9S
S = (2/9)L-----(eq 1)
Also given:
L - 1.65 = 3S
L - 3S = 1.65 ----- (eq 2)
By substitution, sub eq 1 into eq 2
L - 3(2/9)L = 1.65
L - (2/3)L = 1.65
L [ 1 - (2/3) ] = 1.65
L/3 = 1.65
L = 1.65 (3) = 4.95 (substitute into equation 1)
S = (2/9)(4.95) = 1.1m
Answer:
i think the answer is 8/12 but im not sure though
Step-by-step explanation:
Answer:
The decimal form of the equation is y = 2.5x + 10
The equivalent fraction form is y = (5/2)x + 10 because 5/2 = 2.5
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Explanation:
We can pick any two columns from the table to form the two points needed.
I'll pick the first two columns
(1, 12.5)
(2, 15)
Then apply the slope formula to those points
m = (y2-y1)/(x2-x1)
m = (15-12.5)/(2-1)
m = (2.5)/(1)
m = 2.5
Now use that slope with either point mentioned to find the y intercept b.
y = mx+b
12.5 = 2.5*1 + b
12.5 = 2.5 + b
12.5 - 2.5 = b
10 = b
b = 10
Or
y = mx+b
15 = 2.5*2+b
15 = 5+b
15-5 = b
10 = b
b = 10
We end up with the same b value.
We found that m = 2.5 is the slope and b = 10 is the y intercept
Therefore we go from y = mx+b to y = 2.5x + 10
This is the same as saying y = (5/2)x + 10 since 2.5 = 5/2
Answer: y = 800
Step-by-step explanation:
3(y+200) = 3000
y+200 = 1000 (dividing 3 from both sides)
y = 800
