Answer:
(2,8)
Step-by-step explanation:
<h2>
Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by :

The function f(x) is a linear function with positive slope.
and the function g(x) is given by:

The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
Answer:
Considering the whole book as 100%, there’s 30% left.
Then, 30% of 230 = 0,3*230 = 69 pages.
Step-by-step explanation:
Pythagoras’ theorem
a^2 + b^2 = c^2
Where a and b are two sides on a triangle and c is the hypotenuse.
Rearrange to find one to the sides that isn’t the hypotenuse.
a^2 = c^2 - b^2
a^2 = 25^2 - 10^2
a^2 = 625 - 100
a^2 = 525
(square root)
a = √525
= 5√21