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3 years ago

What is the end behavior of the function f(x)=5/4x^2

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

As x→∞ , f(x)→∞

As x→-∞, f(x)→∞

Step-by-step explanation:

Considering equation: f(x) = $\frac{5}{4}$ x²

As x goes to infinity, the value of x² is always positive so f(x) goes to positive infinity.

As x goes to negative infinity, the value of x² is still positive so f(x) still goes to positive infinity.

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

2 years ago

. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?

Katena32 [7]

Answer:

Step-by-step explanation:

because there are 20 girls and 10 boys = 30

4 0

2 years ago

Read 2 more answers

simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does h

babunello [35]

Answer:

7/10

Step-by-step explanation:

1/5=6

10%=3

30-6-3

21/30=7/10

7 0

3 years ago

(2x+7)(3x-5)<br> What is the answer of this question ?

gladu [14]

The answer is 6x^2+11x-35

8 0

3 years ago

Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units. What is the length of AC?

astra-53 [7]

The area of a kite:
A = d1 * d2 / 2
d1 = BD = 8 units
48 = 8 * AC / 2
48 * 2 = 8 AC
96 = 8 AC
AC = 96 : 8 = 12
Answer: D ) 12 units

7 0

2 years ago