Answer:
y=2x^2+1
Step-by-step explanation:
I checked on photo maths
Answer:
y = 7x - 1 is the answer to the question
Answer:
We have the equation
![a+x= 1+xa^2](https://tex.z-dn.net/?f=a%2Bx%3D%201%2Bxa%5E2)
we leave the terms with x on the left side of the equation and the independent terms on the right side.
![x-xa^2=1-a\\(1-a^2)x=1-a\\](https://tex.z-dn.net/?f=x-xa%5E2%3D1-a%5C%5C%281-a%5E2%29x%3D1-a%5C%5C)
resolving for x we have that
![x=\frac{1-a}{1-a^2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1-a%7D%7B1-a%5E2%7D)
Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when ![1-a^2=0\\1=a^2\\a=\pm1](https://tex.z-dn.net/?f=1-a%5E2%3D0%5C%5C1%3Da%5E2%5C%5Ca%3D%5Cpm1)
Then, for
the equation hasn't solution
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.