Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
Answer:
14
Step-by-step explanation:
I am preatty sure its 14 hope this helps
Answer:
21 2
33 3
44 4
Step-by-step explanation:
think of them as equivalent fractions
Answer:
<u><em>There is not enough information to know if there is a statistically significant difference in the number of children per family between the three countries.</em></u>
Step-by-step explanation:
There are other important information that are necessary in order to reach a decisive conclusion. This includes not just the f value only, but the alpha value, f critical value and the p-value after conducting the one way ANOVA.
Since we do not have information about the p value, as well as the alpha value there is no way to compare the effects of all the variables.
Therefore, no decision can be made by the Pediatrician without knowing what the p value is and the apha value is.
