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Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer: the domain is all real numbers. The Range is all real numbers greater than zero.
Step-by-step explanation:
this si the same as the graph y=5^-x. Which decreases from left to right and approaches but never touches the x-axis.
Answer:
12 students
Step-by-step explanation:
Here is the complete question
Alex surveyed 60 students about their favorite zoo animals and made the circle graph of the results shown below. A circle graph titled Favorite Zoo Animals is shown. There are five sections. One section is labeled Bears, one section is labled Lions, one section is labeled Monkeys, one section is labeled Elephants, and one section is labeled Giraffes.
If the angle measure of the section for giraffes is 72∘, how many students said giraffes were their favorite zoo animal?
Number of students that said the giraffe was their favorite zoo animal = (angle measuring the section for giraffes / sum of angles in a circle graph) x number of students surveyed
the sum of angles in a circle = 360 degrees
(72 / 360) x 60 = 12 students