Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
<u><em>Verification:-</em></u>
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
Answer:
144
Step-by-step explanation:
We have 240 7th graders
60% check out fantasy books
240 *60%
240 *.60
144 will check out fantasy books
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Okay so we get: subtract m + 8 from 5m + 11
5m + 11 = 16 + m or 16m
16m - 8 +m or 8m = 8m or 8 + m
