<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.
Step-by-step explanation:
By Pythagoras' Theorem,
where c is always the largest number.
a and b can be interchangeable between the 2nd largest and the 3rd largest numbers.
Given a = 8, b = 15 and c = 17,
Since c^2 = a^2 + b^2 , 8 , 15 and 17 are pythagorean triplets.
Now let's move on to 9, 40 and 41.
Since c^2 = a^2 + b^2 , 9 , 40 and 41 are pythagorean triplets.
Last let's move on to 4,7 and 8.
Since a^2+b^2 IS NOT EQUAL to c^2, 4,7 and 8 ARE NOT pythagorean triplets.
Answer: The measure of ∠ABC = 54°.
Step-by-step explanation:
As we know that
Measure of major arc AC = 234° ( Far arc)
Measure of minor arc AC = 126° (Near arc)
By theorem, we know that the angle formed by intersection of two tangents is equal to half the difference of far arc and near arc.
As we know that ∠ABC is given by
Hence, the measure of ∠ABC = 54°.
Answer: 9.3 ×
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, we can write 93,000,000 as 9.3000000 and notice that there is only one digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 93,000,000.
Since we will need to move the decimal point seven places to the left, we have an exponent of positive 7. Our exponent will be positive because we need to move the decimal point seven places to the right. Now, we can write our number in scientific notation.
9.3 ×
<h3><u>Explanation</u></h3>
A function is a set of relation without repetitive domain. That means we cannot have the same value of x in a set.
<u>Example</u>
{(1,1),(1,2),(2,4),(3,9)}
This is not a function because the relation has same two x = 1 which does not make it a function.
{(1,1),(2,4),(3,9)}
This is a function because there are no same x-values or repetitive domain in a single set.
Back to the question, we can find which table represent a function by looking at the x-value table. If there are two same or more x-values, it is not a function.
<h3>
<u>Answer</u></h3>
The answer is the left bottom table as the other table have two same x-values.