Always get rid of denominators first. Multiply both right and left side by 6
-7 (6) = -c (6)/6 + 12(6)
-42 = -c + 72
c = 72 +42
c = 114
rearrange like terms together
42 = 18 - 4x
4x = 18 -42
4x = -24
divide both sides by 4
x = -6
Answer:
Step-by-step explanation:
The graph of y = 3^x will pass through the point (0, 1). This graph passes through the point (-3, 1); it has been shifted to the left 3 units.
A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power. This gives us
This graph has also been translated, or shifted, down 2 units. This can be done by subtracting a number from the end of the function; this gives us
Write an equation system based on the problem. For an instance, x represents the number of $3 tickets sold and y represents the number of $5 tickets sold.
x + y = 40
3x + 5y = 136
Solve the equation system using elimination method. Use elimination of y in order to find the value of x
x + y = 40 (multiplied by 5)
3x + 5y = 136 (multiplied by 1)
-----------------------------------------
5x + 5y = 200
3x + 5y = 136
------------------ -
2x = 64
x = 64/2
x = 32
The value of x is 32. She sold 32 tickets worth $3
There were 600 students at the north campus and 400 students at the south campus.
<h2 /><h3><u>Calculus</u></h3>
To determine, if 42% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger, the following calculation must be performed:
- 0.10X + 0.90Y = 420
- 1000 x 0.42 = 420
- 500 x 0.10 + 500 x 0.90 = 50 + 450 = 500
- 600 x 0.10 + 400 x 0.90 = 60 + 360 = 420
Therefore, there were 600 students at the north campus and 400 students at the south campus.
Learn more about calculus in brainly.com/question/6581270
1 yard = 3 feet
25 yards = 3 x 25 feet = 75 feet
They are teh same
