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:
3.3in
Step-by-step explanation:
Answer:
Original rectangle: Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.
New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm. To find the area, we multiply these two together. 21*6 = 126 square cm.
126 is 9 times greater than 14, so the area will be multiplied by 9.
Step-by-step explanation:
Answer:
D. No, because 
and the 
are not equal.
Step-by-step explanation:
Given:
Probability of doing yard work is, 
Probability of raining, 
Probability of doing yard work and it raining is, 
Now, two events A and B are independent if,
Conditional probability of event A given that B has occurred is given as:
So, 
Since, 
, A and B are not independent events.
Answer:
shoulda woulda coulda been B
Step-by-step explanation:
