1.
f(x) = x
g(x) = x + 3
For each x value you use in f(x) and g(x), the corresponding y value in g(x) is always 3 more than in f(x). If each y-coordinate is 3 more, that means the graph is shifted 3 units up. The graph of f(x) is shifted 3 units up to create the graph of g(x).
2.
The first term is -0.5.
Then each term goes up by 0.25.
1st term: -0.5
2nd term: -0.5 + 0.25 = -0.5 + 0.25(1)
3rd term: -0.5 + 0.25 + 0.25 = -0.5 + 0.25(2)
4th term: -0.5 + 0.25 + 0.25 + 0.25 = -0.5 + 0.25(3)
nth term: -0.5 + 0.25(n - 1)
-0.5 + 0.25(n - 1) = -0.5 + 0.25n - 0.25 = -0.75 + 0.25n = 0.25n - 0.75
Answer is C.
The cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.
A car averages 32 mpg and gas costs $1.97 per gallon.
By unitary method for 866 miles, average would be,
= 866/32
= 27.0625 miles per gallon
and the cost to pay for the gas if this car made a trip of 866 miles would be,
= 27.0625 × $1.97
= $53.31
Therefore, the cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.
Learn more about the unitary method here:
brainly.com/question/22056199
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So hmm notice the picture below
running a segment from the right-angle perpendicular to the opposite side, gives three similar triangles, one small, a medium and a large one
now, using proportions, you can simply
and solve for "x"
Answer:
m = (y-6)/x
Step-by-step explanation:
To solve for m we want to get m by itself on one side of the equals sign, with everything else on the other side. First we subtract b from both sides, to get it out of the right side of the equation:
y - 6 = mx + 6 - 6
y - 6 = mx
Now we divide both sides by x, to get m completely by itself:
(y-6)/x = (mx)/x
(y-6)/x = m
So m is equal to (y-6)/x.

