Direct variation describes - roughly - a relationship between two values where <em>scaling one value will scale the other by the same amount</em>. The x value <em>doubles </em>as it goes from 5 to 10, and since y varies directly as x, we can double the old y value to get the new one as well. Since the old y value is 8, our new y value should be 8 x 2 = 16.
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
C
You can use the pythagorean theorem.
5^2+4^2 =c^2 (or length of AB in this case)
25+16=c^2
41=c^2
c (or length of AB) = sqrt 40
Answer:
July has the highest attendance.
Step-by-step explanation:
The attendances are expressed in scientific notation where the second term, 10^x, means 10 to the xth power. For example 10^1 = 10, 10^2 = 10*10 = 100 and so on.
Looking at the table, July's attendance has the highest power, 10^6 while other months only have 10^5. So July has the highest attendance.