A company sells a chair for $450. It costs them $350 to make each chair, plus fixed costs for operation of $20,000

Write the cost and revenue functions.
Cost= ?
Revenue = ?
(Type expressions using x as the variable.)

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

The correct answer to the given question about equation of Candice taking a hike is option D)  0.38x + 13 = 87

The cost for Candice to enter the park is a fixed fee of $13.00, and the additional cost for the tour group to hike is $0.38 per mile. If Candice has $87.00 to spend, we can use the following equation to determine how many miles she can hike:

0.38x + 13 = 87

Here, x represents the number of miles Candice can hike.

The left-hand side of the equation represents the total cost, which includes the fixed entrance fee of $13.00 plus the variable cost of $0.38 per mile multiplied by the number of miles hiked, represented by 0.38x.

The right-hand side of the equation represents the total amount Candice can spend, which is $87.00.

By solving for x, we can find the number of miles Candice can hike within her budget.

Therefore, the correct answer is D. 0.38x + 13 = 87

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If Robert Planted 12 daffodils and 18 Tulips, it implies that for every 18 Tulips there will be 12 daffodils, meaning that the ratio is 18 to 12.

In simplified notation, the above ratio is 3/2.

Answer: Third option.

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

let's find f (2) :

Answer:

14

Step-by-step explanation:

Hi there!

\(f(x) = |7x |\\f(2) = |7(2) |\\f(2) = |14|\\f(2) =14\)

I hope this helps!

Answer:

Step-by-step explanation:

the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure

therefore

4x + 12 = 64

⇔ 4x = 64 - 12

⇔ 4x = 52

⇔ x = 52/4

⇔ x = 13

Answer:

45%

Step-by-step explanation:

✓Change in price= ($60 - $33)

=$27

✓percent change in price= change in price/ original price ×100%

✓percent change in price= ($27/$60) × 100%

= 0.45×100%

=45%

Hence, the percent change is 45%

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

If d < 0, we get:

or

or

B. Due to the fact that ABCD has at least two parallel sides in one pair.

The y-coordinates of the two points A(-3, 1) and D(5, 1) are identical.

Then

The x-axis and the line AD are parallel.

As opposed to that,

The y-coordinates of the two points B(1,5) and C(5,5) are identical.

Then

The x-axis and the line BC are perpendiculars.

We discover:

• AD lies along the x-axis.

BC is perpendicular to the x-axis.

Therefore

AD / BC

Conclusion:

Due to the fact that ABCD contains at least two parallel sides in one pair.

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Answer: Yes, it is a function.

Step-by-step explanation:

This question is:

"A relation between time and distance traveled by a biker is a function?"

Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.

In this relation the domain is time and the range is the distance.

Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.

Answer:

262.5 messages per month

Step-by-step explanation:

Cost of plan = $34.99

Cost per message = $0.16

Maximum bill = $42

Maximum # of messages = $42/$0.16 = 262.5

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

$11.2425 money she save on the purchase of the tires.

The basic way to calculate a discount is to multiply the original price by the decimal form of the given percentage rate. To calculate the sale price of any item, we need to subtract the discount from the original price.

Both bought 2 new tires for her race car

each tire originally cost is $74.95

she received a 15% discount

=74.95 × 15%

=74.95 × 0.15

=11.2425

$11.2425 money she save on the purchase of the tires.

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The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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9514 1404 393

Answer:

  m ≥ -√5

Step-by-step explanation:

If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.

f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.

For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...

  d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor

  d ≤ 0 . . . . . . . . . . the condition for no real zeros

  4m² -20 ≤ 0

  m² -5 ≤ 0 . . . . . . divide by 4

  m² ≤ 5 . . . . . . . . .add 5

  |m| ≤ √5 . . . . . . . take the square root

This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0

There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.

_____

Additional comment

The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Answer:

68

Step-by-step explanation:

We can see that the nth term would be the sum of the previous two terms. Continuing this would result in 68.

Answer:

Emmanuel is 28, and Jamie is 26

Step-by-step explanation:

54/2=27

28-emmanuel

26-jamie

28+26=54

If Emmanuel is 2 times older than Jamie, their ages add to 54 Jamie is 18 years old and Emmanuel is 36 years old.

Let's assume Jamie's age is x.

Emmanuel's age is 2 times older than Jamie's age, so Emmanuel's age is 2x.

The sum of their ages is 54, that is

x + 2x = 54

Combining like terms:

3x = 54

Dividing both sides by 3:

x = 54/3

x = 18

Jamie is 18 years old.

Substituting Jamie's age back into the equation to find Emmanuel's age:

Emmanuel's age = 2 * Jamie's age

Emmanuel's age = 2 * 18 = 36

Emmanuel is 36 years old.

Therefore, Jamie is 18 years old and Emmanuel is 36 years old.

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Answer:

i think 42

Step-by-step explanation:

Answer:

B -(1,4)

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Answer:

I think rational because like it can be a fraction. but like I wouldn't trust me.

Answer:

Step-by-step explanation:

The total number of caps sold in Ontario last month is approximately 10948 caps (rounded up).

Given that Lids has obtained 23.75% of the cap market in Ontario and it sold 2600 caps last month. Let us calculate the total caps sold in Ontario last month as follows:

Let the total caps sold in Ontario be x capsLids has obtained 23.75% of the cap market in Ontario which means the percentage of the market Lids has not covered is (100 - 23.75)% = 76.25%.

The 76.25% of the cap market is represented as 76.25/100, hence, the caps sold in the market not covered by Lids is:

76.25/100 × x = 0.7625 x

The total number of caps sold in Ontario is equal to the sum of the number of caps sold by Lids and the number of caps sold in the market not covered by Lids, that is:

x = 2600 + 0.7625 x

Simplifying the equation by subtracting 0.7625x from both sides, we get;0.2375x = 2600

Dividing both sides by 0.2375, we obtain:

x = 2600 / 0.2375x

= 10947.37 ≈ 10948

Therefore, the total number of caps sold in Ontario last month is approximately 10948 caps (rounded up).Answer: 10948

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Answer:

y = -x +9

Step-by-step explanation:

The equation will be written in slope-intercept form, y=mx+b

Looking at the graph, we can already see that the y-intercept is +9 since that is the point on the y-axis from where the line comes from.

Now, you have to find the slope. Normally, you would pick two points and subtract the y value of the second point and the y value of the first point and put the sum over the difference of the x value of the second point and the first point, y2 - y1/ x2 - x1.

You could have done this or looked at the graph to see that the line has a constant downward slope of -1, go down one and to the right one from (0,9) t ok end up at (1,8).

All that's left to do now is to plug the values of the slope and y-intercept in to give us the equation y = -x +9.

Given

Lin runs 6 laps around a track in 9 minutes

Part A

How many minutes per lap is that?



The final answer

1.5minutes per lap

Part B

How many laps per minute is that?

The final answer

0.66666666667lap per minute

Part c

If Lin runs 21 laps at the same rate, how long does it take her?

The final answer

Lin runs 21 laps for 31.5 minutes

Answer:

B

Step-by-step explanation:

Use Pemdas

(11 - 2)^2 + 8(-3)

9^2 + 8(-3)

9^2 - 24

9 to the second power means 9 × 9 which is 81

81 - 24

57

Answer:

4x6 _3

Step-by-step explanation:

24-3 =21 So this is the answer

I hope this will work for u

The value of b from the given function is 9/4.

The given function is g(x) = 4x–3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Replace x by b in the given function is

g(b)=4b-3

⇒ 6=4b-3

⇒ 4b=9

⇒ b=9/4

Hence, the value of b from the given function is 9/4.

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There are a few corrections that need to be made in the question you have provided. Firstly, it is not clear what is meant by "fin by drecerbay" and "por do all reapeds".

Secondly, there are some missing numbers and symbols in the chemical equation provided.

Lastly, it is not clear what is meant by "converting from OH to BR can you use a different reactions " Without proper context, it is difficult to provide a comprehensive answer.

However, I will try to provide a general explanation of converting OH to BR and the use of different reactions. Converting OH to BR involves replacing a hydroxyl group (-OH) with a bromine atom (-Br) in a molecule.

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Answer:

  (w -3)(w +10)

Step-by-step explanation:

The product of two binomial factors looks like ...

  (x +a)(x +b) = x² +(a+b)x +ab

This means you want to find values 'a' and 'b' such that ...

You can do this by looking at factor pairs of -30 that have positive sums:

  -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. You want the factor pair with a sum of 7, so 'a' = -3 and 'b' = 10.

  w^2 +7w -30 = (w -3)(w +10)

The answer is True.

Proportions are a comparison of two ratios, and ratios are a comparison of two quantities, so your answer is true.

Given:

The given terms are

\(4p^3mn^2\) and \(2pm^2n^3\)

To find:

The common factors of given terms.

Solution:

We have,

\(4p^3mn^2\) and \(2pm^2n^3\)

The factor forms are

\(4p^3mn^2=2\times 2\times p\times p\times p\times m\times n\times n\)

\(2pm^2n^3=2\times p\times m\times m\times n\times n\times n\)

The common factors are 2, p, m, n, n. So,

Common factors = \(2\times p\times m\times n\times n\)

                            = \(2pmn^2\)

Therefore, the common factor of given terms is \(2pmn^2\).