Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = (x + 6)(x - 3)
For x-intercept,
Substitute the value f(x) = 0.
(x + 6)(x - 3 = 0
x = 3, -6
So the x-intercepts will be,
(-6, 0) and (3, 0)
For y-intercept,
Substitute the value for x = 0,
f(0) = (0 + 6)(0 - 3)
= -18
Therefore, y-intercept of the given quadratic function will be (0, -18).
Answer:
linear
Step-by-step explanation:
First differences of the y-values for the consecutive x-values are ...
-3 -(-4.5) = 1.5
-1.5 -(-3) = 1.5
0 -(-1.5) = 1.5
1.5 -0 = 1.5
The first differences are constant, so the function is linear.
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Since we know the function is linear, there's no real point in computing the ratios of successive outputs. In any event, we know it is not constant. The ratio with 0 as a numerator will be 0; the ratio with 0 as a denominator will be undefined.
Answer:
Value of x is 34
Step-by-step explanation:
The figure is a quadrilateral;
Angles given are; 2x°, 88°,108° and (3x - 6)°
We already know that the interior angles of a quadrilateral add up to 360°
Therefore, to get the value of x;
2x° + 88° + 108° + (3x - 6)° = 360
5x° + 190° = 360°
5x° = 170°
x = 34°
Thus, the value of x is 34
Your classmate is correct, though this is not explicitly what the midpoint formula is necessarily set out to do. If one is given two sets of endpoints, one can discover the midpoint by finding the mean distance between these two endpoints. For example, if two points are 10 and 2, all you need do to find the midpoint is add the two poles and divide them by 2 (that is, find the average). The same applies for coordinate geometry, except with additional variables, the formula to find the coordinates of a midpoint is: M= (x1+x2/2, y1+y2/2). Thus, two averages (of both the x coordinates and y coordinates are taken). Your classmate is correct if two endpoints are given, think of a line with two poles, the middle of this line must be the midpoint.
