Answer:
y = 2x - 3
Step-by-step explanation:
Start by writing out the given equation.
-2x + y = -3
The goal is to isolate the variable y.
For this equation, all you need to do is add 2x to each side.
-2x + y + 2x = -3 + 2x
Therefore, the answer is y = 2x -3.
I don't know if you are are familiar with the equation y = mx + b, but here's a little refresher. m is the slope, or in this case 2. b is the y-intercept, or in this case -3.
The equation y = mx + b is slope intercept form, so if you know this, you should be able to write any equation in slope intercept form.
Hope this helps!
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
16. 180=8x+2x
x=10°
17a. 180=(180-126)+2x+(180-6x)
x=14°
17b. 180=4x+x+65
x=23°
