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3 years ago

What is the range of the function f(x) =4^x+1 when the domain is {-1,0,3}

Mathematics

2 answers:

RUDIKE [14]3 years ago

4 0

Answer:

{y|y>1}

Step-by-step explanation:

i hope that this is what you are looking for^_^

Katena32 [7]3 years ago

4 0

This is just a fancy way your teacher saying that when you have an equation y= $4^{x}$ +1, what is y when x=-1,0,3.

We just need to solve by substituting the x in respectively.

x=-1, y= $\frac{5}{4}$

x=0, y=1

x=3, y=65

Hope this helped! Any questions just put it in the comments.

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A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother. Write an equation to express the weight of the

erica [24]

Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
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x+7437=y.
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4 years ago

What the 29th square number?

serious [3.7K]

Answer: 841

Step-by-step explanation:

29×29=841

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2 years ago

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jolli1 [7]

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3 years ago

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A total of 20 quarters and nickels add up to $4.00. How many nickels are there?

mariarad [96]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

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3 years ago

The authors of a paper presented detailed case studies to medical students and to faculty at medical schools. Each participant w

stealth61 [152]

Answer:

0.623

Step-by-step explanation:

We have to find the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high i.e.P(C/H)=?

Using Bayes' theorem the probability can be computed as

$P(C/H)=\frac{P(C)P(H/C)}{P(C)P(H/C)+P(I)P(H/I)}$

We are given that

P(C) = 0.262 , P(H/C) = 0.344 , P(I) = 0.738 and P(H/I) = 0.074.

So,

$P(C/H)=\frac{0.262(0.344)}{0.262(0.344)+0.738(0.074)}$

$P(C/H)=\frac{0.0901}{0.0901+0.0546}$

$P(C/H)=\frac{0.0901}{0.1447}$

$P(C/H)=0.6227$

P(C/H)=0.623 (rounded to three decimal places).

Thus, the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high is 0.623.

3 0

3 years ago