miss Evans earns £240 per week. she is awarded a pay rise of 3.5% how much does she earn each week after her rise?
1 answer:
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The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵
∴
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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(15.9-24)/3.7 ≈ -2.19
The given x-value is about 2.2 standard deviations below the mean, as shown in the attached.
The given x-value is about 2.2 standard deviations below the mean, as shown in the attached.
Answer:
The volume of tank is calculated by the equation .
Step-by-step explanation:
It is given that the height of the cylindrical tank is 15 feet and the radius of the cylindrical tank is 10 feet.
The formula to find the volume of cylinder is
Therefore the volume of tank is calculated by the equation and the volume of tank is 4712.39 feet³.