Which represents the inverse of the function f(x)=4x

X^2+2x-15/x=x-1/2+x-1/x

ZanzabumX [31]

Answer:

x=2.11872822

Step-by-step explanation:

7 0

3 years ago

Ellie uses 12.5 pounds of potatoes bto make mashed potatoes. She uses one tenths as many pounds of butter as potatoes how many p

In-s [12.5K]

Answer:

1.25 Pounds were used for butter.

Step-by-step explanation:

6 0

3 years ago

5. Can someone explain how to solve this?

zhannawk [14.2K]

Answer:

AC = 5 cm

BD = 12.5 cm (3 sf) [or 2 × root 39]

BE = 6.93 cm (3 sf) [or 4 × root 3]

Step-by-step explanation:

CE = 8cm [CE is radius of circle]

AC + 3 = 8

AC = 5 cm

BC = 8cm [BC is a radius of circle]

(AC)^2 + (AB)^2 = (BC)^2 [Pythagoras theorem]

25 + (AB)^2 = 64

AB = 6.2450 cm (5 sf) [or root 39]

BD = 2(BA)

= 2(6.2450)

BD = 12.5 cm (3 sf) [or 2 × root 39]

(BA)^2 + (AE)^2 = (BE)^2 [Pythagoras theorem]

39 + 9 = (BE)^2

BE = 6.93 cm (3 sf) [or 4 × root 3]

6 0

3 years ago

Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar.

Zielflug [23.3K]

Using an exponential function, it is found that the value of David's Investment will be at least $415 after a period of 20 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem, the initial value and the growth rate for his investment are given by:

A(0) = 230, r = 0.03.

Hence, the value after t years is given by:

$A(t) = 230(1.03)^t$

Then, the value will be of at least $415 when:

$A(t) \geq 415$

$230(1.03)^t \geq 415$

$(1.03)^t \geq \frac{415}{230}$

$\log{(1.03)^t} \geq \log{\frac{415}{230}}$

$t\log{1.03} \geq \log{\frac{415}{230}}$

$t \geq \frac{\log{\frac{415}{230}}}{\log{1.03}}$

$t \geq 20$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

4 0

2 years ago

The amount people who pay for cell phone service varies quite a bit, but the mean

melamori03 [73]

Answer:

a) The mean is $55 and the standard deviation is $0.6957

b) The shape of the sampling distribution of x is approximately normal.

c) 0.0749 = 7.49% probability that the average cell phone service paid by the sample of cell phone users will exceed $56.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$