Answer:
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Step-by-step explanation:
400/100=4 so 4 workers are = to 1%
72×4=288 workers are part time
400-288=112 full time workers
1
Move everything to the left by subtracting 25 from both sides:
Both terms are squares: is the square of , while 25 is the square of 5. So, we can apply the factoring
To factor the expression as
A multiplication is zero if and only if one of the factors is zero, so we have
2
The discriminant of the quadratic expression is defined as
So, you have
3
Similarly, we have
Been a while since I've done this, but I think I remember what to do here:
The main technique is called "rise over run." The first number, the rise, is how far up the next dot on the right should be. The other number, the run, is how many spaces right the dot should be at. 1+(-2)=-1 and 8+3=11. The next dot on the right should be placed at (11,-1). If you're looking on the left, replace the addition with subtraction. 1-(-2)=3 and 8-3=5. The dot on the left should be (5,3). This means that the three dots on the slope are, in order, (5,3), (1,8), and (11,-1). To find the numbers after the third dot and before the first dot, simply repeat their respective equations.
I hope my memory was correct. Lol
Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:
We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:
- y = a —> horizontal line; slope is 0.
- x = a —> vertical line; slope is undefined.
- For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
- For x = a, any a-values would have same y-values or range.
Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.
Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.
Answer
- The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.
I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!