Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
To find the inverse all you do is swap your x and y then solve it through. for this one you gotta take f(x) and make it y
y = 1/4x - 12
then swap
x = 1/4y - 12
then solve it through
x - 12 = 1/4y
divide by (1/4)
and (x - 12)4 = y should be your answer
Answer:
C) 3/8
Step-by-step explanation:
Find 1/8 + 1/4
1/8 + 1/4
= 1/8 + 2/8
= 3/8
Answer:
x =2 x = -1
Step-by-step explanation:
|2x - 1| + 3 = 6.
Subtract 3 from each side
|2x - 1| + 3-3 = 6-3
|2x - 1|= 3
An absolute value has two solutions, one positive and one negative
2x-1 =3 2x -1 = -3
Add 1 to all sides
2x-1+1 =3+1 2x-1+1 = -3+1
2x = 4 2x =-2
Divide by 2
2x/2 = 4/2 2x/2 = -2/2
x =2 x = -1
To find the answer,we can set an equation:
Let the time he used to drive in the afternoon be y miles.
Time used in the afternoon = y
Time used in morning = y - 70
Total time used = 248
The value of y:
y + (y - 70) = 248
2y-70 = 248
2y = 248+70
2y = 318
y = 318/2
y = 159
Therefore, he droved 159 miles in the afternoon.
Hope it helps!
