Answer with solution

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

44000 - (44000 : 100) x 11.4

= 38984

The price will be $38984.

44000 - 38984 = 5016

The price will decrease $5016.

I hope this is useful and you understood. :)

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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The value of B in the prism is 21 in²

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The given figure is a prism.

And,

B is the base of the prism.

Now,

The base of the prism is a rectangle.

So,

Area of a rectangle.

= length x width

= 7 x 3

= 21 in²

Thus,

The value of B in the prism is 21 in²

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Answer:

V = 314.16

Step-by-step explanation:

In this question, we have to find the slope of the perpendicular line to the graph of the point (-3,-1) and (0,-4).

For that, first, find the slope of the given line.

The slope (m) is calculated by the difference of y values over the x.

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

Here, the points are:

(-3 , -1)

x1 = -3

y1 = -1

similarly, in (0, -4)

x2 = 0

y2 = -4

Now, put these values in the given equation.

m = (-4 - (-1)) / (0 - (-3))

m = (-4 + 1) / (0+3)

m = -3/ 3

m = -1

Now, the perpendicular slopes are negative reciprocals of each other.

For example, for a given line of slope 'x', the slope of the perpendicular line would be -1/x.

The negative reciprocal of -1 is -1/(-1) = 1.

Hence, the slope of the perpendicular line to the graph of the point (-3,-1) and (0,-4) would be 1.

Answer:

2.2 x 100 = 220%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 2.2 × 100 = 220% (answer). ➥ The ease way: 1) Move the decimal point two places to the right: 2.2 → 22 → 220.

I hope this will help you

Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.

The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.

As this course is shaped like a parallelogram, the total length would therefore be:

= Base + Base + Length + Length

Solving gives:
= 3 + 3 + 2 + 2

= 6 miles

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Answer:

The slope of line perpendicular to line q is 8/3.

Step-by-step explanation:

Given that:

Slope of a line q is -3/8

Slope is the steepness of any line.

Let,

x be the slope of line perpendicular to line q.

The product of slopes of two perpendicular lines is equal to -1.

\(\frac{-3}{8}x = -1\)

Multiplying both sides -8/3

\(\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}\)

x = 8/3

Hence,

The slope of line perpendicular to line q is 8/3.

Answer:

Step-by-step explanation:

The correct order in which accounting cycles are performed helps in structuring and produce an efficient result in the day-to-day activities of any business organization.  This cannot be found in the options given but the correct order is shown below.

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

In other textbooks, it was stated that option A is correct for part 1.

The wide range of various entries or steps of the accounting cycle will happen depending on the circumstance yet these three activities are there any in the business association independent of circumstances.

1, 2, 3

In other textbook, it was stated that option B is correct for part 2.

Answer:

I think its B but im not sure

Step-by-step explanation:

Answer:

11.0 cm

Step-by-step explanation:

Answer:

11.8 cm

Step-by-step explanation:

2.5 + 5 + 2.5√3 = 7.5 + 2.5√3 = 11.8 cm

Answer:

11

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.

A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.

Chain discounts involve a series of trade discounts applied in sequence.

List price = $3,800

Chain discount = 8/3/1

First net price = $3,496 ($3,800 x 1 - 8%)

Second net price = $3,391.12 ($3,496 x 1 - 3%)

Third net price = $3,357.21 ($3,391.12 x 1 - 1%)

Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.

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Answer:

11.4

Step-by-step explanation:

7b))60+40+x=180

x=180-100

x=80

sin60÷10=sin80÷x

xsin60=10sin80

x=10sin60÷sin60

=11.371

=11.4

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

A rotaion of a point 90° clockwise is given by:

The coordinates of the original point are (1,-3), applying the rule to this point we have:

Therefore:

Point in the original figrue (1,-3)

Point in the final figure (-3,-1)

Answer:

Sampling frame

Explanation:

A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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Answer:

2/3

Step-by-step explanation:

Answer:

31: |8| +|18|=|26|

33: |2| +|9|=|11|

since these numbers are already positive, the numbers will stay the same just add the bars in front and after it.

The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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