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1 year ago

What is the average rate of change for this quadratic function for the interval

Mathematics

1 answer:

Romashka [77]1 year ago

7 0

Answer:

x 2 − 8 x + 15

Step-by-step explanation:

( x − 3 ) ( x− 5)

Expand ( x − 3 ) ( x − 5 )

using the FOIL Method.

x ⋅ x + x ⋅ − 5 − 3 x − 3 ⋅ − 5

Simplify and combine like terms.

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Determine the inverse of the following.<br> y =- log(x - 1) + 2

Dvinal [7]

Answer:

$f^{-1}$ (x)= $10^{-x+2}$ +1

Step-by-step explanation:

4 0

2 years ago

Consider the equation 1.5 x plus 4.5 y equals 18.

Otrada [13]

1.5x will be the very answer

6 0

2 years ago

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

) Thirty percent of the students in a management class are graduate students. A random sample of 3 students is selected. a) Usin

skelet666 [1.2K]

Given Information:

Probability of success = 30%

Sample size = n = 3

Variable of interest = x = 2

Required Information:

Probability of exactly 2 graduates = ?

Answer:

Probability of exactly 2 graduates = P(2; 3, 0.30) = 0.189

Step-by-step explanation:

The given problem can be modeled as a binomial experiment since a random selected student can either b graduate or not therefore, there are only 2 outcomes. Each trial is independent and the probability of success is not changing from trial to trial. The number of trials in also fixed.

We know that a binomial distribution is given by

P(x; n, p) = nCx pˣ (1 - p)ⁿ⁻ˣ

Where p is the probability of success and 1 - p is the probability of failure, n is number of independent trials and x is the variable of interest.

For the given problem, we know that x = 2, n = 3 and p = 0.30

P(2; 3, 0.30) = 3C2*0.30²*(1 - 0.30)³⁻²

P(2; 3, 0.30) = 3*0.30²*(0.70)¹

P(2; 3, 0.30) = 0.189

6 0

3 years ago

Simplify nine square root of two minus three square root of seven plus square root of eight minus square root of twenty eight.

avanturin [10]

Answer: