Answer:
45
Step-by-step explanation:
This is the answer because:
1) 43 + 2 equals to 45
Hope this helps!
There are many ways you can do this. To me, the easiest way is cross multiplying, but since the denominators are the same, there is no need to do that. Also, the fractions are negatives, the one closest to 0 is closer to the surface of the pool
-4/5 = -2/5 in this case -2/5 is closer to the surface of the pool.
Answer: the boy's feet are closer to the surface of the pool
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is 
.
Here are the transformations of a rational function:
a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
Answer:
x= 0 , y= 6
Step-by-step explanation:
multiplying 1st equation by 2 and subracting equation 2nd from 1st
14x + 4y = -24
<u>- ( 3x + 4y) = - (-24</u>)
11x = 0
so, x=0
keep x=0 in equation 2nd
3*0 + 4y = -24
y = -24 / 4
so , y = 6
