Reflection across the y axis means multiply the whole function by -1
so
f(x)=3x+12
times -1
g(x)=-3x-12 is the answer
answer is C
not sure why you put an arrow to choice A, but it's wrong
C is the right answer
Answer:
The dimensions of the work area are 16 ft by 36 ft
Step-by-step explanation:
Let
x ----> the length of the work area in feet
y-----> the width of the work area in feet
we know that
The perimeter of the work area is equal to

simplify
----> equation A
The area of the work area is equal to
---> equation B
substitute equation A in equation B
solve the quadratic equation by graphing
using a graphing tool
The solutions are
x=16 ft, y=36 ft
or
x=36 ft, y=16 ft
see the attached figure
therefore
The dimensions of the work area are 16 ft by 36 ft
Answer:
4
Step-by-step explanation:
taxes are collected for the government
Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
It’s not going to be C because 10 is already in the question