Answer:
the answer is the first and why did you delete my answer
Step-by-step explanation:
One possible system is
1x + 3y = 4
2x + 6y = 8
Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.
In other words, the second equation is the result of multiplying both sides of the first equation by 2.
1x+3y = 4
2*(1x+3y) = 2*4
2x+6y = 8
Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.
In order to find a slope, there is an equation:
Y2-Y1/X2-X1
X1=2
X2=3
Y1=5
Y2=0
0-5= -5
3-2=1
Since slope is written as Y/X, slope would be-5/1 or simply, -5.
Now, we need to find the y-intercept.
To do this, shift the original equation:
Original equation: y=-5x+b
Shifted equation: b=y+5x
Now, plug in one of the points.
Let's use (2,5)
b=5+5(2)
5*2=10
10+5=15
y-intercept=15
So, the full equation of the line would be:
y=-5x+15
Answer:
960
Step-by-step explanation:
<u>Given:</u>
- Stan's cookie recipe makes 24 cookies.
- It needs exactly 384 sprinkles.
<u>To Find:</u>
- Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>
<u>Find the number of sprinkles needed for 1 cookie:</u>
- 24 cookies = 384 sprinkles
- 1 cookie = 384 ÷ 24
- 1 cookie = 16 sprinkles
<u>Find the number of sprinkles needed for 60 cookies:</u>
- 1 cookie = 16 sprinkles
- 60 cookies = 16 x 60
- 60 cookies = 960 sprinkles
Answer: Stan will need 960 sprinkles for 60 cookies.
Answer:
See below.
Step-by-step explanation:
First, we can see that
.
Thus, for the question, we can just plug -1 in:

Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words,
will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.