Answer:
Option B - graphing is the correct answer.
Step-by-step explanation:
To solve a system of inequalities we need graphing. Inequality tells us about the relative size of two values. When we graph the x and y co-ordinates, the solution is not the drawn line, but the area of the coordinate plane that satisfies the inequality. In inequalities, multiple solutions can be possible.
Plug and chug method does not a complete solution, it only tells where a point belongs. Guess and check does not apply here.
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
<u>Answer:</u>
y=-1/4x-1
<u>How to find the </u><u>slope</u>
To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.
In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.
Slope: -1/4x
<u>How to find the y-intercept</u>
To find the y-intercept, you need to look at where the line crosses y.
In this graph the line crosses y at -1.
Y-intercept: -1
<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>
Answer:
- 2x² + 2x + 11
Step-by-step explanation:
Given
x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1
= x² + 6 - 3x² + 2x + 5 ← collect like terms
= - 2x² + 2x + 11
y + 8 = 1/3 (x+6)
With the given information, we can use the point-slope formula, , to write the equation of the line. Substitute values for the , , and in the formula to do so.
The represents the slope, so substitute in its place. The and represent the x and y values of one point the line intersects, so substitute -6 for and -8 for . This gives the following answer and equation (just make sure to convert the double negatives into positives:
