What is the vertex of the parabola to the below?

Answer:

A. The point represents the turning point of the graph

B. The cost of making 4,000 bicycles is $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales

C. The company should plan on making fewer than 4,000 bicycles, to maximize profit

Step-by-step explanation:

A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values

B. The cost function is presented as follows;

F(x) = 1.25 + 0.35·x

Where;

F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles

x = The number of bicycles made in thousands

The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in  F(x) = 1.25 + 0.35·x, as follows;

F(x) = 1.25 + 0.35·x

∴ F(4) = 1.25 + 0.35 × 4 = 2.65

Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35

The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875

The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph

C. When the company produces 5,500 bicycles, x = 5.5, we have;

F(5.5) = 1.25 + 0.35 × 5.5 = 3.175

The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000

Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales

The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

6.2

Step-by-step explanation:

Divide 11.78 by 1.9. Then you will get 6.2.

Your welcome in advanced.

-YourAverage10YearOld

Answer:

80 ounces is heavier by 8 ounces or half a pound

Step-by-step explanation:

1 pound = 16 ounces

4.5*16= 72 ounces

Answer:

(-2)(100) or 10^2 is 100

Step-by-step explanation:

(x -2)(x+100) =x

Additional roots of polynomial function P(x) with rational coefficients are (2i) and (- √10).

" If z = a +bi be the given complex number, then its conjugate is represented by [tex]\bar{z}[/tex] = a -bi , where  real parts remain same only imaginary part  get changed with opposite sign."

Theorem used

Conjugate Root theorem

Complex conjugate root theorem states that if P(x) is a polynomial in one variable with real coefficient , for P(x) if one root is a + bi  with real numbers a and b then its conjugate that is a - bi is also another additional root of P(x).

According to the question,

Two given roots of polynomial function with rational coefficients are -2i and √10.

As per Conjugate root theorem,

Here one root is 0 - 2i then other root is its conjugate 0 + 2i

Also one root is 0 + √10 then another root is 0 - √10.

Therefore, two additional roots are 2i and -√10.

Hence, additional roots of polynomial function P(x) with rational coefficients are (2i) and   (- √10).

Learn more about conjugate of complex number here

https://brainly.com/question/18392150

#SPJ2

Answer:

it'll be B

Step-by-step explanation:

ive took the test turned out i got it right

Step-by-step explanation:

1(

m<1= 62°

2)

m<1=90°

3)

180-70-65=45

m<1= 45°

4)

180-90-30=60

m<1= 60°

Answer:

(0,320) and (4,0)

Step-by-step explanation:

The question has missing details. So, I've added the complete question as an attachment.

From the question, we understand that:

Justine started when Michael was 320 yards from the top.

This coordinate can be represented as (0,320)

0 represents the time Justine started and 320 represents the number of yards left.

Every minute, Justine covers 80 yards.

This implies that:

At 1 minute, Justine will have: (320 - 80) yards left

At 2 minutes, Justine will have: (320 - 80 - 80) yards left

At 3 minutes, Justine will have: (320 - 80 - 80 - 80) yards left

At n minutes, Justine will have (320 - 80n) yards left

So, possible coordinates are:

[tex](x_1,y_1) = (0,320)[/tex]

[tex](x_2,y_2) = (1,320-80*1) = (1,240)[/tex]

[tex](x_3,y_3) = (2,320-80*2) = (2,160)[/tex]

[tex](x_3,y_3) = (3,320-80*3) = (3,80)[/tex]

[tex](x_4,y_4) = (4,320-80*4) = (4,0)[/tex]

Answer:

Select any two pairs of values from the given table. But, for simplicity, it’s a good idea to select coordinates with integer values. So, two points that represent Justine’s function for the yards left to hike in terms of the hours she’s spent hiking are (1, 270) and (2, 150).

Step-by-step explanation:

Sample Answer

Answer:

d° = 62°

e° = 90°

f° = 27°

g° = 27°

h° = 118°

j° = 62°

k° = 63°

Step-by-step explanation:

The relationship between the given angles are;

k° = 63° (Vertically opposite angles)

63° + f° = 90° (Given complementary angles)

∴ f° = 90° - 63° = 27°

f° = 27°

g° = f° (Vertically opposite angles)

∴ g° = f° = 27°

g° = 27°

e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)

∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°

e° = 90°

h° = 118° (Vertically opposite angles)

118° + d° = 180° (The sum of angles on a straight equals 180°)

∴ d° = 180° - 118° = 62°

d° = 62°

j° = d° (Vertically opposite angles)

∴ j° = d° = 62°

j° = 62°

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

Answer:

y=x+6

Step-by-step explanation:

y intercept = 6

gradient = rise/run = 1/1

y = x +6

Answer:

6

Step-by-step explanation:

Hope this helps

Answer:

$7

Step-by-step explanation:

Let a be the price of the adult ticket and s be the price of the student ticket

That means that:

2a+3s=39

and

a+2s=23

Using elimination

-2(a+2s=23)

-2a-4s=-46

-2a-4s=-46

2a+3s=39

Eliminate a:

-s = -7 ; s = 7

I probably made this so much more complicated than it should be but...

Step-by-step explanation:

[tex] \tt{(4 {x}^{3} + 2x + 6) + (2 {x}^{3} - {x}^{2} + 2) }[/tex]

Remove the unnecessary parentheses.

⟶ [tex] \tt{4 {x}^{3} + 2x + 6 + 2 {x}^{3} - {x}^{2} + 2}[/tex]

Combine like terms. Like terms are those which have the same base. Note that only coefficients of like terms can be added or subtracted.

⟶ [tex] \tt{4 {x}^{3} + 2 {x}^{3} + 2x + 6 + 2 - {x}^{2} }[/tex]

⟶ [tex] \tt{6 {x}^{3} + 2 x + 8 - {x}}^{2} [/tex]

As we are asked to write the answer in standard form , we have to rewrite the expression 6x³ +2x + 8 - x² in such a way that the power of the variables goes from highest to lowest.

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6 {x}^{3} - {x}^{2} + 2x + 8}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12

Simple interest , I, is calculated by multiplying the principal, P, by the rate,r, by the time, t, in years:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60  

Part b)  

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

Answer:

$60 interest

Step-by-step explanation:

divide 5 by 100 = 0.05

multiply 0.05 by 600 = 30

then multiply 30 by the number of years (2) 30×2= 60

60 dollars interest

I think

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

Answer:

25/6 = 4 with a remainder of 1

Answer:

the answer is

25÷6=4.1 because it is

Answer:

Step-by-step explanation:

Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB = [tex]\frac{3+1}{-4-2}[/tex]

                    = [tex]-\frac{2}{3}[/tex]

Slope of AD = [tex]\frac{3+1}{-4+4}[/tex]

                    = Not defined (Parallel to y-axis)

Slope of DC = [tex]\frac{-5+1}{2+4}[/tex]

                     = [tex]-\frac{2}{3}[/tex]

Slope of BC = [tex]\frac{-1+5}{2-2}[/tex]

                   = Not defined (Parallel to y-axis)

Slope of AB = slope of DC = [tex]-\frac{2}{3}[/tex]

Slope of BC = slope of AD = Not defined (parallel to y-axis)

As per property of a parallelogram,

"Opposite sides of a parallelogram are parallel and equal in measure"                  

Therefore, ABCD is a parallelogram.

Answer:

the answer would be 36

Step-by-step explanation:

hoped I helped:)

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

= 4×7+2

= 28+2

= 30

Hope it helps you....

Mark me as the brainliest....

FOLLOW ME....!!!!!!

Answer: several hours Which is an ordered pair on the line(2.5,14) (2.25,12) (1.25,5) (1.5,9) Jonah's house and his grandparents' house are 8,046.72 meters apart. What is this distance in miles 4 miles 5 miles 7 miles 8 miles

Step-by-step explanation:

Answer: m=20

Step-by-step explanation:

Answer:

3a5a2b

Step-by-step explanation:

You can prime factorize 15: 3 x 5

Answer:

17

Step-by-step explanation:

Remark

In this formation, the chords cut each other so that

Equation

(3x - 1) * 3 = 12*(x -2)        Remove the brackets.

Solution

9x - 3 = 12x - 24                       Add 24 to both sides.

9x - 3 + 24 = 12x - 24 + 24      Combine

9x + 21 = 12x                            Subtract 9x from both sides

9x - 9x +21 = 12x - 9x

21 = 3x                                     Divide by 3

21/2 = 3x/3              

7 = x

Find QR

QR = 12 + x - 2

QR = 10 + 7

QR = 17

Answer:

If he has no other expenses, 5

Step-by-step explanation:

4200/960

five, if you round up

4.375