Identify the quadratic function that contains the points (-1,1), (0,-2) and (2,4). F(x) = 2x2 - x - 1 f(x) = 2x2 + x + 1 f(x) = 2x2 - x - 2 f(x) = 2x2 - x + 2.

2.388 is the margin of error for a 90% confidence interval will be standard deviation.

What does the standard deviation of the sample mean?

Sample size n=30

Sample standard deviation s= 7.7

t critical at alpha =0.10, for 29 d.f. is 1.699

Margin error = t critical ×s/√n

=1.699×7.7/√30 = 2.388

Margin error =2.388

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0.231140  is the probability that eight have relief within a few minutes .

What is probability explain with an example?

let X be the number of patients having relief within a few minutes out of 12 patients.

so X~ Bin(12,p)  where p=0.70

so P[8 have relief within a few minutes]=P[X=8]

                                         = ¹²C⁸ * 0.78 * 0.34

                                            = 0.231140

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Answer:

8/x^3

Step-by-step explanation:

(2x^-1)^3

First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.

8x^-3

We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:

8/x^3

Answer:

[tex]y = \frac{3}{4} x - 3[/tex]

The slope is 3/4, and the y-intercept is -3.

A polynomial function with zeros of -1, -1, 2i is:

f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i

We have been given a polynomial function with zeros of -1, -1, 2i

This means, (x + 1), (x + 1) and (x - 2i) are roots of polynomial.

Let f(x) be required polynomial function.

To find a polynomial consider an equation,

f(x) = 0

(x + 1) * (x + 1) * (x - 2i) = 0

(x^2 + 2x + 1) * (x - 2i) = 0

x(x^2 + 2x + 1) - 2i(x^2 + 2x + 1) = 0

x^3 + 2x^2 + x - 2ix^2 - 4ix - 2i = 0

x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i = 0

so, f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i

Therefore, a polynomial with zeros of -1, -1, 2i is f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i

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The number of students  that are studying abroad in 2001 is 150.38 thousand

The number of students that are studying abroad in 2018 is 467.53 thousand

The given equation that represents the growth in the number of students that are studying abroad is known as an exponential equation. An exponential equation is a non-linear equation.

The given exponential equation is 123.1(1.069)^x

Where:

Number of students studying abroad in 2001 = 123.1(1.069)^3= 150.38 thousand

Where x = 2001 - 1998 - 3

Number of students studying abroad in 2018 = 123.1(1.069)^20 = 467.53 thousand

Where x = 2018 - 1998 = 20.

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The answer is:  " - 1,458 ".

Step-by-step explanation:
We are asked to simplify: " -2(3²)³ " ; into standard form.

Take note of the 'order of operations'—by using the mnemonic:
 "Please Excuse My Dear Aunt Sally."

  in which:
_______
Parentheses, if they occur, take top priority.
then :
Exponents, if they occur, take second priority.
then :

Multiplication—and/or:
Division—if they occur; take third priority; yet, multiplication does not necessarily take priority over division.  Rather, multiplication and/or division, if Either occurs, take the next priority—in the order in which they occur from the far left of the expression to the end.
then :
Addition—and/or:
Subtraction—if they occur; take the last priority; yet, addition does not necessarily take priority over subtraction.  Rather, addition and/or subtraction, if Either occurs, take the last priority—in the order in which they occur from the far left of the expression to the end.
____

Our given expression:  " -2(3²)³ " ;  is the same as:
  " - 2* (3²)³ " ;   We have parentheses, exponents, and multiplication;

 So; we need to find the value of:  " (3²)³ " ;  

and multiply that value by -2 ;

 So, let's start with calculating:  " (3²)³ " ;

Method 1)
 " (3²)³ = (3* 3)³ = 9³ = 9 * 9 * 9 = (9 * 9) * 9 = 81 * 9 = 729 " .

Method 2)
Note the multiplication property of exponents:
 (aᵇ)ᶜ = a⁽ ᵇ *ᶜ ⁾ ;

As such:   "  (3²)³ =  3⁽²*³⁾ = 3⁶ " ;

                             =  3 * 3 * 3 * 3 * 3 * 3 ;          

                             =  (3 * 3) * 3 * 3 * 3 * 3 ;

                            =   9 * 3 * 3 * 3 * 3 ;

                             =   (9 * 3) * 3 * 3 * 3 ;

                            =   (27) * 3 * 3 * 3 ;

                             =   (27)  *  (9)* 3 ;\

                             =  27 * 27 ;              

            ₁

             ₄  

              2 7
          *  2  7  
           ¹ 1 8 9          

        ⁺_5 4    
          7   2  9

                          =  729
____

Now,  multiply 729 by -2 ;

{Note that a negative value, when multiplied by a positive value, results in a negative value.}\

      ₁

      7 2 9

*       -   2      
-  1 4 5 8 ;  which is our answer to:  " -2(3²)³ " ; written in   standard form.

The answer is:  " - 1,458 ".

____

Hope this is helpful to you.

Best of luck to you!
____

Answer:

1

Step-by-step explanation:

The coefficient of an algebraic expression (-x+3) corresponds to the number that precedes (or multiplies) the variables in it 1.

Answer:

Theusage is 585 minutes of call duration..

Explanation:

Fixed plan cost is M=$.39.95

Charge for first 500 minutes call: Free

Charge for call exceeding 500 minutes: $.0.35/minutes.

Let x minutes be the total call duration.

The bill is P=$.69.70 i.e. more than $.39.95, which indicates

call duration is more than 500 minutes.

The rule states that bill for call exceeding 500 minutes is

P=M+(x−500).0.35 or

69.70=39.95+(x−500).0.35 or (x−500).0.35=69.70−39.95 or

(x−500).0.35=29.75 or (x−500)=

0.35

29.75

or

(x−500)=85 or x=500+85=585 minutes.

The usage is 585 minutes of call duration .

Step-by-step explanation:

hope this helps

Step-by-step explanation:

NP is the radius of the fictitious circle with center in P.

sin(P) = sqrt(55)/NP

Pythagoras gives us NP :

c² = a² + b²

so

NP² = 55 + 45 = 100

NP = 10

therefore,

sin(P) = sqrt(55)/10

Answer: When the number of classes is 1 or 2, fishing is less expensive.

When the number of classes is 3 or 4, canoeing is less expensive.

Step-by-step explanation:

Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.

Answer:Nothing further can be done with this topic. 6y=22,x=−5y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute the value of x (-5y) into the equation. Which gives you -5y-6y=22, add like terms and you get -11y=22. Divide both sides by -11 and you get y=-2

Answer:

Step-by-step explanation:

72

Answer:

72

Step-by-step explanation:

The way to find the average rate of change between two points is to divide [tex]\frac{f(a)-f(b)}{a-b}[/tex].
1.) We plug the points into the formula. If you plug them in, you get [tex]\frac{2(3)^4-2(3)^2}{4-2}[/tex].
2.) Simplify. If we simplify, we get 3^4-3^2=72

1. The functions are the same because each of the function has equations that are modeled after the horse diving into the water.

2. Given t = 20s, so using the equation modeled for Seb, we have

h(20) = -16(20^2) + 16(20) +18

After evaluating it we get -6062ft which is not possible since we cannot get a height in negative and jumping off at a height of 6062ft if it was in positive it wouldn't be done by a sane person.

3. Putting the value of t as 0 in the equation we get,

h(0) = -16(0^2) + 16(0) + 18

After evaluating it, we get 18ft and in this situation, we can say that in 0 seconds that is when the horse had not yet dived, the horse was at a height of 18ft.

4 a. Taking the value of h as 18 in Sabri's equation, we get

18 = -16(t - 0.5)^2 + 22

18 = 16t^2 - 4 + 22            (After solving {t - 0.5}^2)

t^2= 18 + 4 - 22/ 16

t^2= 0

t = 0seconds

b. The maximum height of Sabrina's height was 18ft, since this is the initial height of the horse diving booth.

What are functions?
In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable. To put it simply, a function is a type of rule that produces one output for every input it receives. Here, y=x2 serves as an illustration. A single output for y results from any input for x. Since x is the input value, we would state that y is a function of x.

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Desmos graphing calculator is a life saver for questions like this

Answer:

option 3

Step-by-step explanation:

2x + 5y = 20

to bring this to a staffers equation with y on one side and everything else on the other, we see that we get a negative x term. that means the line goes down when going from left to right.

5y = -2x + 20

y = -2/5 x + 4

so, we also see that the y-intercept is 4.

so, option 3 is correct.

The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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Answer: T is the longest side. T = 62

Step-by-step explanation:

R + S = 118

(57+61)

180-118=62

Answer:

[tex]\frac{1}{120}[/tex]

Step-by-step explanation:

To solve such a problem you need to simulate a situation in which this could happen in three picks and then make sure your equation takes into account that all three picks take place at the same time. One such situation could look like this:

1) At the start, the probability of picking one rotten apple with one pick is 2 out of 16 which 2/16.

2) After picking the first apple you have 15 apples left of which only 1 is rotten. So the chance to pick the second rotten apple is 1/15.

3) After you picked the second rotten apple you want the third one in the set to be good. As you are left with 14 apples of which all 14 are good, the probability of picking a good one is 14/14.

Now, because you are interested in ALL those 3 things happening at the same time, you need to multiply the probabilities. So this gives you the answer of:

[tex]\frac{2}{16} *\frac{1}{15} *\frac{14}{14} = \frac{1}{8} *\frac{1}{15} *1 = \frac{1}{120}[/tex]

You can achieve the same result if your picks are in a slightly different order. The result won't change as long as the outcome is the same (set of 2 rotten apples and 1 good apple). So if you first pick a rotten apple (2/16), then you happen to pick a good apple (14 out of 15 left are good so 14/15) and then pick the second rotten apple last (1/14) you will see it's gives the same result because you also end up with 2 rotten and 1 good apples:

[tex]\frac{2}{16} * \frac{14}{15} * \frac{1}{14} = \frac{1}{8} * \frac{1}{15} = \frac{1}{120}[/tex]

The difference between the record high and low temperatures for this state is 118 degrees Fahrenheit or 118°F

Given that,

104 f is the highest temperature ever recorded in a particular US state. The state's all-time low temperature is -14 f.

To find : The difference between the record high and low temperatures for this state.

Difference can be calculated as

Difference equals to highest temperature minus lowest temperature in the state

Difference = 104 -(-14)

= 104+14=118°F

Therefore, The difference in temperature between the state's record high and low readings is 118 degrees Fahrenheit, or 118°F.

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Answer:

0.0401907 = 0.040 (to 3dp)

Answer:

y = -1/5x + 17/5

Step-by-step explanation:

Parallel lines have the same slope as m2 = m1.  Thus, the slope the of second line is -1/5.

We can find the y-intercept by plugging in (2,3) for x and y and our slope:

[tex]3 = -\frac{1}{5}(2)+b\\ 3=-\frac{2}{5}+b\\ \frac{17}{5}=b[/tex]

Answer:

1. m∠5 + m∠6 = 180° ...........Linear Pair

2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle

3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property

Answer:

150≤x≤500

Step-by-step explanation:

113.8 divided by 9 equal to 12.64

The calculation can be done simply by calculator however to so it manually the decimal is converted to fraction

converting to fraction

113.8 = 1138/ 10

dividing by three

= 1138/ 10 ÷ 9

= 1138/ 10 * 1/9

= 1138/ 90

= 569/45

= 12.64

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The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

What is LCD in Rational Expression ?

The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.

The given expression is,

(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)

Let,

(x + 2) / (x² + 7x - 8)     --------eq(i)

(x - 6) / (x² +10x + 16)   ----------- eq(ii)

First take the denominator of eq(i)

The denominator is = x² + 7x - 8

We know, this is quadratic equation so just solve this equation

⇒ x² + 8x - x - 8

⇒ x(x + 8) - 1(x + 8)

⇒ (x - 1) (x + 8)

Next, take the denominator of eq(ii)

The denominator is = x² + 10x + 16

And, this is also a quadratic equation so the factors are,

⇒ x² + 8x + 2x + 16

⇒ x(x + 8) + 2(x + 8)

⇒ (x + 2) (x + 8)

So, after solving both the denominators we get the factors ,

(x - 1) (x + 8) and (x + 2) (x + 8)

As, we see (x + 8) is common just write it once and else terms write as it is,

LCD = (x + 8) (x - 1) (x + 2)

Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

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Answer: A

Step-by-step explanation: hope this helps!

please give brainliest!

Answer:

A. Michael must get a degree in engineering LOLLLLL

Answer: A or C

Step-by-step explanation:

Answer:

Step-by-step explanation: I think you have to add all the numbers together then divide by all the numbers i think