We are given linear equation y=−0.7x−28.
We need to find the coordinates of its intersection with the x- and y-axes.
<em>Note: The coordinate at which line intersect x-axis is called x-intercept and The coordinate at which line intersect y-axis is called y-intercept.</em>
In order to find y-intercept, we need to plug x=0 and solve for y.
Plugging x=0
y= −0.7(0)−28 = 0-28 = -28.
<h3>Therefore, the coordinate where line intersect y-axis is (0,-28).</h3>
In order to find x-intercept, we need to plug y=0 and solve for x.
Plugging y=0
0 = −0.7x−28
Adding 28 on both sides, we get
0+28 = −0.7x−28+28
28 = -0.7x
Dividing both sides by -0.7, we get
x=40.
<h3>Therefore, the coordinate where line intersect x-axis is (40,0).</h3>
the answer is d
hope this helps
Answer:
Riley rakes 1/4 of the lawns per hour.
Step-by-step explanation:
It is given that,
Riley rakes 1/6 of a lawn in 2/3 hour.
We need to find how many lawns can Riley rake per hour.
In 2/3 hour Riley rakes 1/6 of a lawn
In 1 hour Riley rakes 
= 1/4 of a lawn.
Hence, Riley rakes 1/4 of the lawns per hour.
Okay, let's represent the price of a bed sheet with 'b' and a towel with 't':
54b + 50t = 923
38b + 61t = 791.50
Now, if we subtract both sides by 54b (on the first equation), we get this:
50t = 923 - 54b
Divide both sides by 50:
t = 18.46 - 1.08b
Now that we know this, we can move on to the 2nd equation:
38b + 61t = 791.50
Input the variable 't':
38b + 61(18.46 - 1.08b) = 791.5
38b + 1126.06 - 65.88b = 791.5
38b - 65.88b = 791.5 - 1126.06
Simplify:
-27.88b = -334.56
Because both sides are negative, we can turn it into a positive:
27.88b = 334.56
b = 334.56/27.88
b = 12
Now that we know that b = 12, we can easily input it into any equation:
648 + 50t = 923
50t = 275
t = 5.5
One bed sheet costs $12 and one towel costs $5.50
Option C is the answer.
Step-by-step explanation:
5x=1-6
5x=-5
<h3> x=-1</h3>
-5(-1)-8y=2
5-8y=2
-8y =2-5
-8y=-3
<h3> y=3/8</h3>
