Answer:
y = 3/4x - 5
Step-by-step explanation:
An equation of a line can be written in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Let's plug in what we know.
The slope is 3/4.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/4(4) + b
To find b, multiply the slope and the input of x(4)
-2 = 3 + b
Now, subtract 3 from both sides to isolate b.
-5 = b
Plug this into your standard equation.
y = 3/4x - 5
This is your equation. It has a slope of 3/4, and passes through (4, -2)
Hope this helps!
Answer:
D
Step-by-step explanation:
Start by writing out w in terms of x. After one year, there is 1.08*x dollars in the account. x dollars are then deposited, giving us a total of 1.08*x + x (normally we would simplify this to 2.08 but looking at the answers this is not a good idea.) Next, multiply by 1.08 to account for the 2nd year's interest. This brings to total to w = 1.08(1.08*x + x) = (1.08^2)*x + 1.08*x. Factoring out x, we are left with w = (1.08^2 + 1.08) * x. Dividing both sides by (1.08^2 + 1.08), we are left with x = w/(1.08^2 + 1.08) so the answer is d.
The 3 pack cost $9.45
3 single cartons would have cost: 3 x 4.20 = $12.60
Difference in cost: 12.60 - 9.45 = $3.15
Percent savings : 3.15/ 9.45 = 0.3333
0.333 x 109 = 33.33%
Round the answer as needed
5/8 would be the answer..
<span><span>7/8</span>-<span>1/4</span></span><span>=<span>(7 × 4) - (1 × 8)8 × 4</span></span><span>=<span>20/ 32</span></span><span>=<span>20 ÷ 432 ÷ 4</span></span><span>=<span>5/8<span>
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