A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
Answer: $5
Step-by-step explanation:
For every $3 raised by basketball players, football players would raise $2.50.
If basketball players raised $6 therefore, we can use direct proportion to find out what football players raised:
3 : 2.50
6 : x
Cross multiply:
3x = 15
x = 15 / 3
x = 5
Football players raised $5.
Answer:
22.) 2.0651
23.) 4.231
Step-by-step explanation:
22.) Substitute values into equation
(x)(y) + 2 =
(2.1)(0.031) + 2 = 2.0651
23.) Substitute values into equation
(y) + (x)2
(0.031) + (2.1)2 = 4.231
5.575 because you would need to add half of 0.05 which is 0.075
I think this right : )
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
