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
Answer:
2. The change in expected height for every one additional centimeter of femur length.
Step-by-step explanation:
<u>1. The expected height for someone with a femur length of 65 centimeters.</u>
<em>Doesn't make sense, that would be height value when centimeters = 65.</em>
<u>2</u><u><em>. </em></u><u>The change in expected height for every one additional centimeter of femur length.</u>
<em>Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.</em>
<u>3. The femur length for someone with an expected height of 2.5 centimeters.</u>
<em>Doesn't make sense, the linear relationship relies on the femur length to get the height.</em>
<u>4. The change in expected femur length for every one additional centimeter of height.</u>
<em>Doesn't make sense, again, the linear relationship relies on the femur length.</em>
Find the Greatest Common Factor of both numbers which is 5. Then divide the numerator by 5 and the denominator by 5 and you will get 5/16 as the simplest form
Answer:
600 ft
Step-by-step explanation:
30x2=60
100-60=40
40/2=20
30x20=600
