Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
The value of angle x is 53° for the given triangle.
<h3>What is
angle?</h3>
An angle is the formed when two straight lines meet at one point, it is denoted by θ.
In the given isosceles triangle,
one angle is 74°,
Since, two sides of the isosceles triangle are equal, so the corresponding angles will be equal to x.
The sum of angles of a triangle = 180°
x + x + 74 = 180
2x = 106
x = 53
The required value of angle x is 53°.
To learn more about Angle on:
brainly.com/question/28451077
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Answer:
Step-by-step explanation:
Given
Required
The exponent form
We have:
Apply the following law of indices;
So, the expression becomes:
Answer:
4 capfuls of fertilizer
15 liters of water
Step-by-step explanation:
The instructions state that a fertilizer/water ratio of 2 capfuls: 5 liters should be used.
Following that ratio, the amount of fertilizer required for 10 liters of water is:
The amount needed is 4 capfuls of fertilizer.
The amount of water required for 6 capfuls of fertilizer is:
The amount needed is 15 liters of water.
