Answer:
B
Explanation:
The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.
The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.
y=mx+4
(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)
0=m(2)+4
m=-2
To multiply fraction do top x top and bottom x bottom
so convert
into
then do
Answer:
543.4 liters
Step-by-step explanation:
The conversion 1 gallon is 3.8 liters can be used as the rate.
To convert gallons into liters, multiply the numbers of gallons by the rate, 3.8.
143 gallons X 3.8 = 543.4 liters
Therefore 143 gallons is 543.4 liters.
Answer:
a) Vertex is at (-3, -1)
b) y-intercept is at (0,8)
c) x intercept is at (-4,0) and (-2,0)
d) x=-3
Step-by-step explanation:
We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across. It is the only y value without a matching pair
E.x. -1 and 1, -3 and 3
The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)
The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept
y intercept: (0,8)
For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0
x intercept 1:(-4,0)
x intercept 2: (-2,0)
The axis of symmetry is also the x coordinate of the vertex which is 3 so
x = 3
You cannot take the square root of a negative number so the radicals must be greater than or equal to-1.
9-10x≥0
-10x≥-9
x≤9/10
{x|x≤-10}
