If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?
g(x) = (x + 5^)2
g(x) = (x − 5)^2
g(x) = (x − 9)^2
g(x) = (x + 9)^2
Answer:
The equation for g(x) is:
g(x)=(x+5)^2
Step-by-step explanation:
We are given the information about the graph of the function f(x) and g(x) as:
graph of function f of x open upward and has its vertex at (-7,0).
Graph of function g of x opens upward and has its vertex at (-5,0).
If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).
Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).
so, the equation of g(x) will be:
g(x)=(x+5)^2.
Hence, the translation is a shift of the function f(x) 2 units to the right.
80=30t
Answer:
t = 8/3
Step-by-step explanation:
80 = 30t
t = 80/30
t = 8/3
Answer: t = 8/3
Step-by-step explanation:
divide 30 on both sides: t=80/30
t = 8/3
A. .2 B. 5⁄4 C. 5:4 D. 4:5
Ratio 4/5 can be written as 4:5.
The correct option is D.
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Ratio = 4/5
: is another symbol of ratio
Thus, 4/5 can be written as 4:5.
Hence, 4:5 is equivalent to ratio 4/5.
Learn more about ratio here:
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Answer: The answer is 4.
Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: .