The owner of a bicycle shop models the shop’s profit in thousands of dollars each year by using the formula p = 0.015x3 – 0.2x2 + 0.95x + 39, where x is the number, in hundreds, of bicycles sold. Graph the function and describe its key features over the relevant domain.

Answer:  

It maybe 300.

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Here a = 1

b = -10

c =  34

The roots of the equation are

[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]

[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]

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Answer:

15

Step-by-step explanation:

45 divided by 3 equals 15

45 ÷ 3 = 15

Hi there!

Clue: x3 less than the tickets Klara sold...

Divide both terms:

[tex]45[/tex]÷[tex]3=15[/tex]

Tickets: 15

Answer:

T = 38

Step-by-step explanation:

T = 38 because:

1) Plug in all the variables into the equation

Equation: T = 62 - 4(6)

2) Next, solve the equation. First, do multiplication because of order of operations.

Equation: T = 62 - 24

3) Now just subtract 62 and 24

Equation: 38 = 62 - 24

Therefore, T = 38

Hope this helps! :D

Answer:

it's very simple its 0 only

pls mark as brainliest

Answer:

10 it is rational

Step-by-step explanation:

Answer:

1 (Integers and whole number)

Step-by-step explanation:

Given:

Rational number = 34 / 34

Computation:

34 / 34 = 1

Integers and whole number

An integer is descriptively measured by the number without even a fraction which can be written.

Answer:

no factor of one

Step-by-step explanation:

If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent. The word "dilate" is often heard in relation to the human eye.

Answer:

66%

Step-by-step explanation:

Use conditional probability.

P(full | holiday) = P(full AND holiday) / P(holiday)

P(full | holiday) = 0.19 / 0.29

P(full | holiday) ≈ 0.66

Answer:

I'm sure the answer is 15%

Step-by-step explanation:

Answer:

[tex]\mu=473.2[/tex]

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

[tex]\mu=np[/tex]

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

[tex]\mu=676\cdot 0.7[/tex]

[tex]\boxed{\mu=473.2}[/tex]

Answer:

A. [tex](x+5)^2+(y-4)^2=16[/tex]

B. [tex](x-1)^2+(y-4)^2=2\\[/tex]

C. [tex]$\left(x-3\right)^2+\left(y-5\right)^2=9$[/tex]

Step-by-Step Explanation:

A. Tangent to x-axis, r=4, contains (-5,8)

The equation of a circle is this: [tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=4^2=16[/tex]

Because the circle is tangent to the x-axis, the point (-5,8) will be the top of the circle.

Therefore, the center is (-5,4), where -5=h and 4=k.

The answer is [tex](x+5)^2+(y-4)^2=16[/tex]

B. Diameter endpoints (2,5) and (0,3)

To solve for the diameter, we can use this equation: [tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2 }[/tex]

[tex]d=\sqrt{(2-0)^2+(5-3)^2 }\\\\d=\sqrt{2^2+2^2}=\sqrt{4+4} =\sqrt{8}= 2\sqrt{2}[/tex]

Because the radius is half of the diameter, [tex]r=\sqrt{2}[/tex]

Therefore, we know that our equation will be: [tex](x-h)^2+(y-k)^2=(\sqrt{2}) ^2=2[/tex]

Then, we can decipher that h=1, as the midpoint of 0 and 2 is 1, and k=4, as the midpoint of 3 and 5 is 4.

The answer is [tex](x-1)^2+(y-4)^2=2[/tex]

C. Center on x=3, tangent to y-axis at (0,5)

We can see that the center is (3,5). Therefore, the equation is [tex](x-3)^2+(y-5)^2=r^2\\[/tex]

To solve for r, we can substitute the point (0,5) into the equation.

[tex](0-3)^2+(5-5)^2=r^2\\(-3)^2+(0)^2=r^2\\r^2=9[/tex]

The answer is [tex](x-3)^2+(y-5)^2=9[/tex]

Hope this helped!

Answer:

-5<x<7.

Step-by-step explanation:

let the number be represented by 'x'

3x + 5 > -10 < 26

-10<3x+5<26

-10 < 3x +5

-10 -5 < 3x

-15< 3x

-15÷3 < x

-5 < x

and

3x+5 < 26

3x<26-5

3x < 21

x < 21÷3

x< 7

answer is -5<x<7

Answer:

[⁵/3,7[

Step-by-step explanation:

10 ≤ 3x + 5 < 26

10-5 ≤ 3x < 26-5

⁵/3 ≤ X <7

[ 5/3 , 7 [

Answer:

310.2

Step-by-step explanation:

Answer:

310.2

Step-by-step explanation:

c a l c u l a t o r

Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees

180 = x + 156

Subtract 156 from both sides.

24 = x

Answer:

15.5

Step-by-step explanation:

-2 7/12 = -31/12

-31/12 ÷ -1/6 = 15 1/2 or 15.5

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The  97% confidence interval is  [tex]1528  <  \mu <  1612 [/tex]

b

Option A and  Option D  are correct

Step-by-step explanation:

From the question we are told that

     The sample size is n =  119

     The  sample  mean is [tex]\$ 1570[/tex]

    The  population standard deviation is  [tex]\sigma  =  \$ 211[/tex]

    Generally given that the confidence level is  97% then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 97 )\%[/tex]

=>    [tex]\alpha = 0.03[/tex]

From the normal  distribution table  the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

     [tex]Z_{\frac{\alpha }{2} } =  2.17[/tex]

Generally the margin of error is mathematically represented as

     [tex]E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }[/tex]

    [tex]E =  2.17*  \frac{211}{\sqrt{ 119 } }[/tex]

=>   [tex]E =   41.98 [/tex]

Generally the 97% confidence interval is mathematically represented as

     [tex]\= x  - E  <  \mu <  \= x  + E[/tex]

=>    [tex]1570  - 41.98  <  \mu <  1570  + 41.98 [/tex]

=>    [tex]1528  <  \mu <  1612 [/tex]

Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.

Generally the margin error is directly proportional to the  critical value of  [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa

Also the margin error is inversely proportional to the square root of  sample size

Hence to reduce the width of the confidence interval we need to lower the confidence level  and increase the sample size

Answer:

9x^2-9x-10

Step-by-step explanation:

im not sure what the question is asking but if u multiply it all out that is what it equals

hope this helps

Answer:

the CORRECT answer is p

Step-by-step explanation:

The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.

Given that, principal (P)=$4,383, R=5.2% and T=3 years.

The formula to find the simple interest is S.I=P×T×R/100.

Where, P= Principal, R= Rate of interest and T= Time period.

Now, S.I=4,383×3×5.2/100

=$683.748

The simple interest is $683.748. Therefore, Hanna should submit 4,383 into variable p in simple interest formula.

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Answer:

4. j(11) = 8

I think it is linear

5. g(-3) = 18

No, it's a parabola since x is to the second power

6. f(-7) = 5

No, I think it's an absolute value function

7. h(0) = 13

I think it is linear, just the slope is 0

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

4.)

j(11) = 19 - 11

j(11) = 8

The equation is linear.

5.)

g(-3) = 2(-3)²

g(-3) = 2(9)

g(-3) = 18

The equation is not linear. It is quadratic.

6.)

f(-7) = |-7 - 1| - 3

f(-7)= |-8| - 3

f(-7) = 8 -3

f(-7) = 5

The equation is not linear. It is an absolute value function.

7.)

h(0) = -13

The equation is linear.

Answer:

You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out

Step-by-step explanation:

Yellow-1,2,3,4,

Red-1,2,3,4,5,6,7,8,9

Cancel out-1,2,3,4

Left with-5,6,7,8,9

Answer:

Equation: $7 + $1.25t = $43.25

Solving:

$7 + $1.25t = $43.25

$1.25t = 36.25

$1.25t = 36.25

t = 29

So the answer is 29 minutes.

Answer:

Using the equation y = ax2 + bx + c.

Step-by-step explanation:

Answer:

f(x) = 4*(x+2)*(x-4) factorized formula

f(x) = 4x^2 - 8x - 32 polynomical formula

Step-by-step explanation:

Lets assume the factorized formula of a quadratic function:

f(x) = a*(x-x1)^2 * (x-x2)^2

where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:

f(x) = a*(x+2)*(x-4)

because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:

Xv=(x1+x2)/2

Xv=(-2+4)/2

Xv=1

Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.

Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.

-36 = a*(1+2)*(1-4)

-36 = a*(3)*(-3)

-36 = a*(-9)

4 = a

Finally the equation is:

f(x) = 4*(x+2)*(x-4)

if we expand this function we find the polynomical form of this function

f(x) = 4x^2 - 8x - 32

Parent functions has a domain and range of all real numbers is a Cubic function

Given :

We need to find the parent function that has a domain and range of all real

numbers.

Domain is the set of all x values and range is the set of y values.

For any cubic function there is no restriction for   x  

For each value of x  there is a y value

So, domain and range of cubic function is set of all real numbers

For reciprocal function , there will be x in the denominator . So there will be some restriction for x.

For any quadratic function , domain is set of all real numbers. For quadratic we get U shaped graph . It means there is some restriction for y.

So range cannot be real numbers

For absolute value function , we get V shaped graph . so there is some restriction for y. Range cannot be all real numbers.

parent functions has a domain and range of all real numbers is a Cubic function

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Answer:

-9

Step-by-step explanation: