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3 years ago

1. The graph of every exponential function f(x)= ax, a>0, a≠1, passes through what three points(in terms of a)? Explain.

1 answer:

3 0

The exponential function
f(x) = a^x
can pass through all points as long as x is any real number

As an example, we can choose values of x.
x = -4, x = 0, x=100

The value of the function in terms of a would be
f(-4) = a^-4
f(0) = a^0 = 1
f(100) = a^100

You might be interested in

A cone has a diameter of 4 cm and a height of 11 cm. What is the volume 1 point

anzhelika [568]

Answer: 46.05

Step-by-step explanation:

1/3 * 3.14 * 4 * 11 = 46.05 (rounded to the tenth)

4 0

3 years ago

2.6 Puzzle time how can you make sure to start a fire with two sticks?

enyata [817]

Answer:

"Make sure one of them is a match"

Step-by-step explanation:

It takes a little practice and above all to generate heat through friction. By raising the temperature of the woods, it is possible to reach the ignition temperature through friction.

Fires require good equipment and good technique. The majority of times it fails is due to a lack of technique and equipment. This can make learning difficult.

For wood selections, you generally want to comply with the following:

Dry Tinder
You should be able to press the wood. If you can't, then it is too difficult.
Wood not very strong but not soft
Not sap in the wood

Make the friction forming a 90 degree angle between them, like a cross. Keep one of the sticks supported on the floor vertically, and the other horizontally rubbing it against it at rapid speed, at intervals.

Under this wood put dry tinder that is able to ignite quickly once you generate the fire.

And for the Puzzle remember the orden of the words:

<h2>Make sure one of them is a match. </h2>

Use tree wood, rub and heat until ignition is generated.

5 0

3 years ago

How do you solve the equation 2cos^2 - cosx = 0 for all solutions?

exis [7]

Answer:

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) = 1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0

3 years ago

Ursula says the distance between -5.47 and 5.47 on a number line is equal to |-5.47|. explain her error

tresset_1 [31]

Your absolute value cannot be negative.

5 0

3 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$