A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
Answer:
The volume of the prism is 300 cubic inches not 300 square inches
Step-by-step explanation:
we know that
The volume of the prism is equal to
where
B is the area of the base
h is the height of the prism
we have
substitute
therefore
The volume of the prism is 300 cubic inches not 300 square inches
These are the correct ratios trust me I've done them a thousand times 15: 7 and 15to7
Answer:
4, 5, 27.
Step-by-step explanation:
Let us find our numbers using given information.
Factors of 20 are: 1,2,4,5,10 and 20.
Let us try by taking number 4 and 5.
We can see that
Now let us find sum of these numbers.
Therefore, numbers chosen by Boris will be 4, 5 and 27 as these numbers satisfies our all conditions.
Answer:
The price for each pound of tuna appears to be the same and the predicted amount of tuna that sells for $50 is 10 pounds
Step-by-step explanation:
I say this because for every 2 pounds it equals 10$ so if u count in two's it will be 6 pounds=$30 and then 8 pounds=$40, but now looks this time it only goes up by one and if u divide the pattern, 1 pound=$5 so $40+$5=$45.But if it was still counting by two's 10 pounds=$50