When you are given a point (x1,y1) and slope m the equation is
y-y1=m(x-x1)
given
slope=7
(x,y)
(3,22)
x1=3
y1=22
y-22=7(x-3) is the equation or
y=7x+1
The product of a number and 3:
Let's call this number x, so the product of this number and 3 would be 3x.
This product is equal to the sum of the number and six => x+6
Therefore:
3x = x+6
X=3
Answer:
100 sq units
Step-by-step explanation:
hypotenuse of the right triangle is the length of the square and we can find it by using the Pythagorean Theorem:
6² + 8² = c²
c² = 36+64
c² = 100
c = √100
c = 10
Area of square = 10² = 1--
<u>The </u><u>function </u><u>which represents the modified design of the roller coaster is </u><u>Y = 2f(0.15x²-10x+C).</u>
What define a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Here, the function: Y = 2f(0.3x - 1) + 10
Therefore, to transform the function
We have to compare with a general function and integrate.
g(x) = f(bx + c).
We now integrate to transform the function which gives us
Y = (2f) integral {0.3x - 1} + 10
Y = 2f { 0.15x² - x } + 10x + c
Y = 2f(0.15x²-10x+C)
Modified design of roller coaster is
Y = 2f(0.15x²-10x+C)
Thus, the function which represents the modified design of the roller coaster is Y = 2f(0.15x²-10x+C).
Learn more about function
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