The answer is h(2k - 5) = -4 - 2k
Step-by-step explanation:
In a function f(x) = y, we can find the value of y for any given value of x
Examples:
- If f(x) = 2x - 3, and we need to find f(3), that means substitute x by 3 in f(x), so f(3) = 2(3) - 3 = 6 - 3 = 3, that means f(x) = 3 at x = 3
- If f(x) = 8 - 5x, and we need to find f(a - 2), substitute x by (a - 2) in f(x), so f(a - 2) = 8 - 5(a - 2) = 8 - 5a + 10 = 18 - 5a, that means f(a - 2) = 18 - 5a at x = a - 2
∵ h(x) = -9 - x
- We need to find h(2k - 5), that means substitute x by 2k - 5
∵ x = 2k - 5
∴ h(2k - 5) = -9 - (2k - 5)
- Simplify the right hand side
∴ h(2k - 5) = -9 - 2k - (-5)
- Remember (-)(-) = (+)
∴ h(2k - 5) = -9 - 2k + 5
- Add the like terms in the right hand side
∴ h(2k - 5) = (-9 + 5) - 2k
∴ h(2k - 5) = -4 - 2k
The answer is h(2k - 5) = -4 - 2k
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The rate of change is -2
Step-by-step explanation:
The slope-intercept form of a linear equation is y = m x + b, where
- m is the slope which represents the rate of change
- b is the y-intercept which represent the initial value (value y at x = 0)
∵ y = -2x - 1
- The equation in the slope-intersect form, compare it with
the form above
∴ m = -2
∴ b = -1
∵ m represents the rate of change
∴ The rate of change is -2
∵ b represents y at x = 0
∴ The y-intercept is -1
The rate of change is -2
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The surface area of a hexagonal prism willl be 251.13844 cm².
<h3>What is the surface area?</h3>
The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
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Answer:
Step-by-step explanation:
Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces
We know that 95% of the area lie between -2 and 2 std deviations from the mean.
i.e. Probability for lying in the middle of 95%
Z score 
Between 46 and 74 oz.
b) Between 12 and 57
convert into Z score
P(-6.86<z<-0.43)
=0.5-0.1664=0.3336
c) X<30 gives Z<-4.83
i.e. P(X<30) =0.00
564/24 equals to 47/2 or 23.5
