Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
For the translations, we have that:
- Shift left, hence x -> x + a, a > 0.
- Shift down, hence y -> y - a, a > 0.
- Having a maximum means that the leading coefficient is negative.
The functions that respect these conditions are:
- t(x) = -2x² - 4x - 3 = -2(x² + 2x) - 3 = -2(x + 1)² - 1
More can be learned about translation concepts at brainly.com/question/4521517
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Volume is area of the triangular part x length.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 4 = 12 square feet.
Volume = 12 x 8 = 96 cubic feet.
Surface area = area of two triangles ( front and back ) , which we calculates the area of one in Part A, plus the surface area of the two sides plus the area of the bottom:
Area of two triangles = 12 x 2 = 24 square feet.
Area of one side = 5 x 8 = 40 square feet
Area of two sides = 40 x 2 = 80 square feet.
Area of bottom = 6 x 8 = 48 square feet.
Total surface area = 24 + 80 + 48 = 152 square feet.
Answer:
Simple random sampling
Step-by-step explanation:
Every element of the population does have an equal probability of getting chosen in a basic random sampling. The entire population should be included in your sample frame. To conduct this sort of sampling, technologies such as random numbers or other approaches relying completely on chance can be used.
701-523=178
Not sure if that's what you're asking but
Answer:
Cos(A) = 10/26
Tan(C) = 10/24
Step-by-step explanation:
cos = adjacent/hypotenuse
tan = opposite/adjacent
