Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 = 24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>
Answer:
(50-10) ÷ (3+2)
Step-by-step explanation:
It will be A bc youre multiplying the total amount of the car by how much it is worth. If it is decreasing by 10% each year then it is worth 90% of its value, hence 0.9
Answer: 6.25%
Step-by-step explanation:
50 chicks were purchased at Rs. 60. The total cost of the chicks is:
= 50 * 60
= Rs. 3,000
10 of the chicks died which means the farmer was left with 40 chicks.
These chicks are sold at Rs. 80. Total revenue from the sales are:
= 40 chicks * 80
= Rs. 3,200
The profit is:
= 3,200 - 3,000
= Rs. 200
The percentage is:
= Profit / Revenue
= 200 / 3,200
= 6.25%
