-7+3/6+6=-4/12= -1/4
y+3= -1/4(x+6)
y+3= -1/4x-3/2
y=-1/4x-9/2
Answer:
x < -3
Step-by-step explanation:
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
−4x−3> 36/4
Divide 36 by 4 to get 9.
−4x−3>9
Add 3 to both sides.
−4x>9+3
Add 9 and 3 to get 12.
−4x>12
Divide both sides by −4. Since −4 is negative, the inequality direction is changed.
x< 12/-4
Divide 12 by −4 to get −3.
x < -3
Answer:
6 meters by 9 meters
Step-by-step explanation:
<u><em>Step 1: Formula for perimeter of rectangle</em></u>
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
<u><em>Step 2: Find the length and width in terms of x</em></u>
Width = x
Length = 1.5 times width
Length = 1.5x
<u><em>Step 3: Find x</em></u>
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
<u><em>Step 4: Find the length and width</em></u>
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
Answer:
- y = 0.937976x +12.765
- $12,765
- $31,524
- the cost increase each year
Step-by-step explanation:
1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...
... y = 0.937976x + 12.765
where x is years since 2000, and y is average tuition cost in thousands.
2. The y-intercept is the year-2000 tuition: $12,765.
3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.
4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.
5. [not a math question]
Answer:
A.
Step-by-step explanation:
