The given curve is → x²=y, which is a parabola opening upwards and vertex at (0,0).
When it is reflected in x axis ,the curve becomes→ x²=-y
The graph of two curves are shown.
Now the curve ,x²= -y is scaled vertically by a factor of 1/8.
So, the equation of curve becomes ,→ x²= -y × 1/8
→ x² = -y/8
Plotting the graph of →x² = -y/8
The curve will shrink, as scaling is less than 1.
Solve the equation:
3e^(2x + 1) = 12
e^(2x + 1) = 12/3
e^(2x + 1) = 4
2x + 1 = ln(4)
2x + 1 = ln(2^2)
2x + 1 = 2 ln(2)
2x = 2 ln(2) - 1
x = [ 2 ln(2) - 1 ] / 2 <----- this is the answer.
________
Checking:
2x + 1 = 2 ln(2)
2x + 1 = ln(4)
e^(2x + 1) = e^[ ln(4) ]
e^(2x + 1) = 4
3e^(2x + 1) = 3 * 4
3e^(2x + 1) = 12 (checked)
I hope this helps. :-)
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
Answer:
120 cans in each case
Step-by-step explanation:
2x6x10 = 120