Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
Answer:
y-intercept is the value of y when x is equal to zero. Because the y intercept is a point on a graph, you'll usually write it in point/ coordinate form.
Step-by-step explanation:
The y-intercept is where the parabola of a function crosses (or intercepts) the y axis.
Answer:
About 2105.98
Step-by-step explanation:
31% of 3354 is 1039.74
3354-1039.74=2314.26
9% of 2314.26 is 208.2834
2314.26-2018.2834=2105.9766
Answer:
She should have substituted y = 17 - 2x in the first equation
Step-by-step explanation:
3x + 4y = 33
2x + y = 17
y = 17 - 2x
3x + 4(17 - 2x) = 33
3x + 68 - 8x = 33
5x = 35
x = 7
y = 17 - 2(7)
y = 3
x = 7, y = 3
Only one solution