Answer:
(1,3)
Step-by-step explanation:
y = 2x+1
y = 4x-1
Since both equations are equal to y, we can set them equal to each other
2x+1 = 4x-1
Subtract 2x from each side
2x+1-2x = 4x-2x-1
1 = 2x-1
Add 1 to each side
1+1 = 2x-1+1
2 = 2x
Divide each side by 2
2/2 = 2x/2
1 =x
Now we need to find y
y = 2x+1
y = 2(1)+1
y =3
2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
Answer:
1. 9461000000000
move the desimal in 9.461 12 places to the right to get:
9461000000000
2.
5.85 x 10^-3,
2.5 x 10^-1,
3.6 x 10^8,
8.5 x 10^8,
8.5 x 10^12
the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
