Answer:
8.33333333333%
Step-by-step explanation:
50/6
K^2 - 100h^2
(k - 10h)(k + 10h)
Answer:
see explanation
Step-by-step explanation:
(a)
x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides
0 = x² - 2x - 3 ← in standard form
0 = (x - 3)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
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(b)
-
=
( multiply through by 15 to clear the fractions )
5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides
5x + 10 - 2 = 3x - 6
5x + 8 = 3x - 6 ( subtract 3x from both sides )
2x + 8 = - 6 ( subtract 8 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
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(c) Assuming lg means log then using the rules of logarithms
log
⇔ nlogx
log x = log y ⇒ x = y
Given
log(2x + 3) = 2logx
log(2x + 3) = log x² , so
x² = 2x + 3 ( subtract 2x + 3 from both sides )
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 , x = - 1
x > 0 then x = 3
Well just by looking at the information provided, you can tell that the equation would look like y = 4x -1. The y-intercept is -1 because the x value is 0. But if you want to see how to solve it algebraically, here’s an explanation... You need to substitute the y-intercept into the equation in order to solve for b, which would then complete the equation. Take the equation y=mx+b. Substitute in the slope and xy values, (-1) = 4(0) + b. Now the equation should look like this: -1 = b. So now that you have the value of b, the complete equation should be y=4x-1