(Y-2)^2-(x-3)^2=1 I hope this helps
Answer:
8 students in each van ~ 22 in each bus
Step-by-step explanation:
- Equations:
8v + 8b = 240
4v + b = 54
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- Modify:
8v + 8b = 240
8v + 2b = 108
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- Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
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- Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
<u>Step(ii):-</u>
<em>The general form of the parabola in algebraically</em>
<em> y = a ( x-h)² +k</em>
<em>The equation </em>
<em> y = 4 ( x + 7 )² - 4</em>
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
<u>Final answer:-</u>
The vertex of the parabola = (-7 , -4)
Answer:
-16x-28
Step-by-step explanation:
Break it into little pieces; start with distributing the -7:
-7(5+x)
-35-7x
Now add the rest of the problem: 7-35-7x-9x
Combine like terms: 7-35 7x-9x
7-35=-28 7x-9x=-16x
Rearrange so the coefficient and variable are upfront, giving you:
-16x-28
Answer:
The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.
