Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
Answer:
slope intercept form is y=mx+b
a line parallel to y=-1/5x-1 is any line with the same slope but different y intercept. for example y=-1/5x+1
Step-by-step explanation:
Answer:
7/165
Step-by-step explanation:
This is a mixed recurring decimal (the zero is not repeating)
We take number after the decimal point 042
then we subtract the non repeating.In this case is 0 so we not subtract anything
This will be the numerator 42
Now ,the denominator:
For each repeating decimal we write a 9 (in this case 2 nines)
For each non repeating decimal we write a zero
Denominator is 990
42/990 = 7/165
7:165 = 0.0424242......
Answer:
A) 0.106
Step-by-step explanation:
8e^3x + 4 = 15
Subtract 4 from each side
8e^3x + 4-4 = 15-4
8e^3x = 11
Divide each side by 8
8/8e^3x = 11/8
e^(3x) = 11/8
Take the natural log of each side
ln(e^(3x)) = ln(11/8)
3x = ln(11/8)
Divide by 3
3x/3 = 1/3 ln(11/8)
x = 1/3 ln(11/8)
x =.106151244
To the nearest thousandth
x = .106
Your domain is all positive numbers, and your range is all numbers. this is because no matter what you plug in for y, x will only ever get extremely close to 0, but never reach it or go below it, and if you put in large values of y x will get very big.
