Let f(x) = sqrt(x). Use linear approximation about x = 25, since 24 is close to 25, and since it is easy to take the square root of 25.
Note that f ' (x) = 1/[2sqrt(x)] from the power rule.
About x = 25, f(x) is approximately f(25) + f ' (25)(x - 25).
So sqrt(24) = f(24) is approximately
f(25) + f ' (25)(24 - 25) = sqrt(25) + {1/[2sqrt(25)]}(-1) = 5 - 1/10 = 4.9 .
Answer:
The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
Step-by-step explanation:
Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:
RC = 25 + 0.14x ....................... (1)
BC = 23 + 0.18x ...................... (2)
Where;
RC = Total cost of Rent-Me Rent-A-Car
BC = Total cost of Better Deal Rental Car
The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:
25 + 0.14x = 23 + 0.18x
25 - 23 = 0.18x - 0.14x
2 = 0.04x
x = 2 / 0.04
x = 50
Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
<u>Note:</u>
This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:
For equation (1):
RC = 25 + 0.14(50)
RC = 25 + 7
RC = 32
For equation (2):
BC = 23 + 0.18(50)
BC = 23 + 9
BC = 32
Therefore, RC = BC = 32 confirms the answer.
Answer:
<u>Option ⇒ </u>
Step-by-step explanation:
Given that ⇒
To rationalizing the denominator, we need to make a perfect cube under cube root of the denominator
∴ By multiplying the denominator and numerator by ∛(s²t)
∴
<u>The answer is the first option</u>
Answer:
Datos: r= 24cm. g= 74 cm. ...
- La altura h.
- La generatriz.
- el radio. Que entre ellos forman un triangulo rectángulo siendo la generatriz la hipotenusa y el radio la base, entonces: ...
g²=r²+h² despejando la altura h se tiene que:
h=√g²-r² h= √ (74cm)² - (24 cm)²
es. un paso para que. puedas resolver