Answer: A) y = 6x +3
Step-by-step explanation:
Let x represent the number of hours. $6 per hour can now be written as 6x.
Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3
Answer:
No
Step-by-step explanation:
Let's find the slope of both lines and then compare these slopes:
From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.
From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.
For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.
Answer:
where ever your at looks dark.
Step-by-step explanation:
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
- She has enough tiles to cover 324 square feet, hence A = 324.
- She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.
Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
You can learn more about the area of a rectangle at brainly.com/question/10489198
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
