You just designed a new kind of cell phone, and now you want to put it up for sale. Each phone costs you
$100 to produce.
Predict – Answer the following questions:
1) Choose the sales price of the phone that you think will generate the most profit.
2) What could happen if you set the price too low?
3) What could happen if you set the price too high?
Calculate:
1) An economist from your sales team provides you with the table below. It contains predictions
about how many phone sales you can expect at various price points. Complete the other columns.

Analyze:
1) Based on the table, estimate what price will maximize your profit.
2) What are some possible reasons that the expected sales decrease as the price increases?
3) What is the x-intercept? What does that point represent?
Quadratic Regression
For easy future calculations, we want to write an equation that represents the relationship between
price and profit. Enter your data for x and y into a calculator. Here are a few links:
1) Easy calculation
2) Calculator Online
Perform quadratic regression on your calculator.
Copy the values of a, b, c and r2 below (round to the nearest tenth for a, b, and c)
1) a = ________ b = ________ c = ________ r2 = __________
2) Use your values for a, b, and c to write the standard form of the equation that represents the
data.
a. f(x) = ax2 + bx + c f(x) = x2 + x +
3) What is r2
, and what does it say about your equation?
4) Sketch a graph of your equation on the coordinate plane below. Make sure to label:
a. The axes and what they represent
b. The zero(s)
c. The maximum
Evaluate:
1) Explain why profit, as a function of sales price, follows a quadratic curve

Answer:

x=8

Step-by-step explanation:

I am pretty sure that x equals 8 because as you can see, it wouldn't make any sense if the answer of x were to equal 7. 15-7=8 which contributes onto making the most sense!

Answer:

so x equals 2

Step-by-step explanation:

x =2 because x^3 is the same as 8 and f just means it is a function.

Have a nice day

All the numbers present in cubical dice = 6

Probability = Favorable outcomes / Total number of outcomes

Favorable Outcomes = 1

Favorable Outcomes = 1 Probability = 1/6

Favorable Outcomes = 3

Probability = 3/6 ; 1/2

Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.

But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.

So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.

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Answer:

(2,9) (4,9) (6,10) (8,11)

Step-by-step explanation:

X is the input. Y is the output. In an ordered pair (X, Y) we must match the inputs and outputs based off the arrows. We see that the 2 in the input section points to the 9. This signifies an ordered pair. From this, we can graph these points.

Answer:

21.3 cm

Step-by-step explanation:

first find the rate of change (RISE/RUN)

\(\frac{19.8-25.2}{24-6}\) which gives you -0.3

Next, create an equation. You can choose any point, but I chose (6,25.2) because it is given.

y - 25.2 = -0.3(x-6)

y - 25.2 = -0.3x + 1.8

y = -0.3x + 27

Finally, plug in 19 for x...

y = -0.3(19) + 27 = 21.3 cm

In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.

Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)

The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.

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The variables are as follows:

x = 4

y = 4.8

The lengths of the sides of the kites are 4.5 and 6.8 units.

A kite is a quadrilateral with 2 pairs of consecutive congruent sides. The diagonals are perpendicular in a kite.

The non vertex angles are congruent.

Therefore,

x + 0.5 = 2x - 3.5

2x - x = 0.5 + 3.5

x = 4

y + 2 = 2y - 2.8

2y - y = 2 + 2.8

y = 4.8

Hence,

length of one pair = 4 + 0.5 = 4.5 units

length of the other pair = 4.8 + 2 = 6.8 units

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Answer: 2.48

Step-by-step explanation:

2.48+4.02=6.5

Answer:

Step-by-step explanation:

The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.

Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

Answer: 6

2 possibilities for each student if they are first and 3 students so 3*2=6.

Answer:

3b

Step-by-step explanation:

Answer:

19.50

Step-by-step explanation:

Answer:

R330

Step-by-step explanation:

2 + 3 = 5

5x = 825

2x = 825 x 2/5

825 x 2 = 1650

1650/5 = 330

Mandy makes R330.

Mandy's share from the profit is R495

Data;

This is the portion shared between two or more entities in a definite proportion.

To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.

\(2 + 3 = 5\\\frac{3}{5} * 825 = 495\)

Mandy's share from the profit is R495

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The cotangent of the angle is -√570/30

From the question, we have the following parameters that can be used in our computation:

(√30/7,-√19/7)

This means that

(x, y) = (√30/7,-√19/7)

The cot(θ) is calculated as

cot(θ) = y/x

Substitute the known values in the above equation, so, we have the following representation

cot(θ) = (-√19/7)/(√30/7)

Evaluate

cot(θ) = -√19/√30

Rationalize

cot(θ) = -√570/30

Hence, the value of cot(θ) is -√570/30

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Answer:

j^-1(x)=x+7/10

Step-by-step explanation:

Dont be Stressed Im here

X=6

Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:1.5 pounds

Step-by-step explanation:

To convert ounce to pounds multiply the ounce value by 0.0625

To convert 24 ounce

24 x 0.0625=1.5

24 ounces is equal to 1.5 pounds

Answer:

i aint never seen two pretty bestfriends

Step-by-step explanation:

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

-4

Step-by-step explanation:

5x+4=-16: minus 4 from both sides

5x=-20: Divide by 5 to solve for x

x=-4

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

Step-by-step explanation:

3³ × 4³ = (3×4)³ = 12³

:::::

3⁴ × 3³ = 3⁴⁺³ = 3⁷

:::::

3⁴ × 4³ = 3 × 3³ × 4³ = 3 × (3³ × 4³) = 3 × 12³ < 12¹²

Answer:

Slope M are 3/4, 1/7

Step-by-step explanation:

Step-by-step explanation:

1.) Slope M = change in y ÷ change in x

That is,

M = (y1 - y2)/(x2 -x1)

Given the following points:

A (10, 4) and B (–2, –5) C (–7, 1) and D (7, 8) E and F(-2, 2/3)

The slopeM between point A and B will be

M = (-5-4)/(-2-10)

M = -9/-12 = 3/4

The slope M between point C and D will be

M = (8-1)/(7+7)

M = 7/14 = 1/7

The slope M between point E and F will be

2.) The slope of a line passing through (1, 7) and (3, 9) will be

M = (9-7)/(3-1)

M = 2/2 = 1

But Robert say The ratio = (1-3)/(7-9) = 1

Though Robert will eventually get the Same value but that is not the correct method of calculating slope.

3.) Point A (1, 3) B (4, 2) C (–2, 4) do not lie on the same lines. If they do, they will all have the Same value for x or the same value for y.

Answer:10 Safety razors

Step-by-step explanation:

27-12=15

15/1.50=10

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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