6.7w - (-3)w = -5
42w + 3w = -5
45w = -5
w = -5/45
w = -1/9
Hope this helps!
Answer:
t=1
Step-by-step explanation:
7t-8t+4=5t-2
-1t+4=5t-2
-1t+6=5t
6=6t
1=t
Check
7t-8t+4=5t-2
7(1)-8(1)+4=5(1)-2
-1+4=5-2
3=3
Using the information given, one can solve to find the equation of the line using slope intercept formula y=mx+b.
Given the y-intercept, b, 3.
y=mx+3
Next, we can plug in the given point (2,4), to solve for the slope.
4=m(2)+3
Subtract 3 from both sides.
1=2m
divide by 2.
1/2=m
So, given m and b, you can make your equation:
y=1/2x+3
I believe that is answer choice C. Hope this helps!
Answer:
x > -5/8
Step-by-step explanation:
Simplify by combining x and 4/5 and then moving 4 to the left side of x
-x * 4/5 + 3/10 < 8/10
-4x/5 + 3/10 < 8/10
Now we cancel the common factor of 8 and 10.
Factor 2 out of 8
-4x/5 + 3/10 < 2(4)/10
2 from 10
-4x/5 + 3/10 < 4/5
Now move all the terms not containing x to the right side
Lets subtract 3/10 from both sides
-4x/5 < 4/5 - 3/10
Now we multiply by 2/2 to write 4/5 with a common denomi.
-4x/5 < 4/5 * 2/2 - 3/10
Now write with a common denom of 10 and multiply by 1
-4x/5 < 4*2/5 * 2 - 3/10
5 by 2
-4x/5 < 4 * 2/10 - 3/10
Combine
-4x/5 < 4 * 2 - 3/10
Simplify the numerator by multiplying then subtracting
-4x/5 < 8 - 3/10
-4x/5 < 5/10
Cancel the common factor of 5 and 10...
-4x/5 < 5(1)/10
-4x/5 5* 1/5 * 2
-4x/5 < 1/2
Now we divide by -1
-4x/5)/-1 > 1/2)/-1
4x/5 > 1/2)-1
4x/5 > -1/2
Multiply both sides by 5 and cancel common factors. (5)
4x * 5 > -1/2 * 5
4x > -1/2 * 5
4x > -5/2
Now divide by 4 in each term
4x/4 > -5/2)/4
x > -5/2)/4
Multiply the numer by the reciprocal of the denom
x > -5/1 * 1/4
x > -5/4 * 2
x > -5/8
