Answer:
v = k
Step-by-step explanation:
Given v is proportional to then the equation relating them is
v = k ← k is the constant of proportion
We have the following functions:
f (x) = -3x ^ 4 - 14
g (x) = -x ^ 3 + 2f
Deriving both functions we have:
f '(x) = -12x ^ 3
g '(x) = -3x ^ 2
We equal zero and clear x:
f '(x) = -12x ^ 3 = 0 ----> x = 0
g '(x) = -3x ^ 2 = 0 -----> x = 0
Substituting x = 0 in the given equations:
f (0) = -3 (0) ^ 4 - 14 = -14
g (0) = - (0) ^ 3 + 2 = 2
Answer:
the largest maximum y-value is:
B.g (x)
Since Emily gave 15 of her buttons out of 75, it's just 15/75 or 1/5 which is 20%
Answer:
Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
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Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
<u>Left Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
<u>Middle Rectangle</u>
A = LW
A = (13 m)(11 m) = 143 m²
<u>Right Trapezoid</u>
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
<u>Wall Area</u>
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
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A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
Scatter plots<span> are similar to line graphs in that they use horizontal and vertical axes to plot data points. However, they have a very specific purpose. </span>Scatter plots<span> show how much one variable is affected by another. The </span>relationship
<span>between two variables is called their correlation .</span>
