Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
Answer:
: p= .78
: p > .78
Step-by-step explanation:
Determining the null and alternate hypotheses of a scenario require several components. The first is if one should use p or mu. This depends on if they are assessing a proportion or a mean, since the publisher states a percentage, you know that they are asking for a proportion, and therefore should use p. Next, they will need to assess what value to use for the hypothesis statements, here only .78 is provided and therefore should be used in both. Finally, it is time to add in the comparison symbols, the null hypothesis always uses an equals sign so it therefore becomes:
: p= .78
The alternate hypothesis then needs to consider if the researchers claim that the new proportion is greater, fewer, or different. In this case it is greater as they think that the ownership is above 78%, so a greater than sign would be used and the final statement would be:
: p > .78
