5x−y=4
Solve for y
.
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y=−4+5x
Rewrite in slope-intercept form.
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y=5x−4
Use the slope-intercept form to find the slope and y-intercept.
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Slope: 5
y-intercept: (0,−4)
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
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xy0−4450
Graph the line using the slope and the y-intercept, or the points.
Slope: 5
y-intercept: (0,−4)
xy0−4450
Answer:
4(x-7)^2-(x-7)+3 (Assuming t is f)
Step-by-step explanation:
Let s(x)=x-7 and t(x)=4x^2-x+3 .
(t o s)(x)=t(s(x))=t(x-7)
Before I continue this means replace the orginal x in t with x-7.
This will then give you
4(x-7)^2-(x-7)+3
Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square
h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144
vertex is (2,144)
at t=2, the height is 144
max height is 144ft
Y + 2 = -2(x - 5)
Simplify.
y + 2 = -2x + 10
Subtract 2 from both sides.
y = -2x + 10 - 2
Simplify.
y = -2x + 8 → Slope-intercept form
Our answer is the second option : y=-2x+8
~Hope I helped!~
Answer:
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Step-by-step explanation: