The correct answer for the problem above is -23 .
Explanation
1. collect the like terms
2x + x - 11 + 3 - 7x = 15
2x , x , & -7x are like terms
-11 & 3 are like terms
2x + x -7x = -4x
-11 + 3 = -8
2. Move constant to the right-hand side and change its sign .
-4x = 15 + 8
-4x = 23
3. Make the signs on both sides of the equation
-4x = 23 turning into 4x = -23
answer =
4x = -23
Answer:
-1
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= (-2-1)/(1--2)
=-3 /(1+2)
=-3/3
-1
4367 ÷ 0.004 is 1091750. To solve this, you can use long division, by setting up the equation. Make sure to move the decimal. Then, divide the first digit, then the first two digits, and so on.
Answer:
-3(r+5)
Step-by-step explanation:
............
.
Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
