Answer:
8.5x10^-5
Step-by-step explanation:
Move the decimal over between the 8 and the 5, it "hops" 5 times. Since it moved over right, make it negative
Answer:
12
Step-by-step explanation:
List out the factors of each
36: 1,2,3,4,6,9,12,18,36
60: 1,2,3,4,5,6,10,12,15,20,30,60
the highest number they both have in common is 12
Answer:
Step-by-step explanation:
2(9a - 6) = 2*9a - 2*6 = 18a - 12
Yes, it is equivalent.
6*(3a-2) = 6*3a - 6*2 = 18a - 12
Yes, it is equivalent.
-3(6a+4)= -3*6a + 4*(-3) = -18a - 12
No, not equivalent
3(6a+4) = 3*6a + 3*4 = 18a + 12
No, not equivalent
-3(4-6a) = -3*4 - 6a*(-3 ) = -12 + 18a = 18a - 12
Yes, it is equivalent.
1) Slope = 1, Y-Int = 4, 2) Slope = 2, Y-Int = -2
Answer:
The function with blue line (see attachment) represents the graph of 
after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
(1)
Where:
- Resulting function.
- Original function.
- Translation factor (
- Translation in the +y direction/
- Translation in the -y direction).
If we know that original function is translated 3 units down and , then the resulting function is:
Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
