What are the vertex and range of y = |2x + 6| + 2? 1 (0, 2); 2 < y < ∞ 2 (0, 2); −∞ ≤ y < ∞ 3 (−3, 2); 2 < y < ∞ 4 (−3, 2); −∞ ≤ y < ∞

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Answer:

\(\boxed{(3,-1)}\)

Step-by-step explanation:

Hey there!

Well to find the solution the the given system,

3y - 2x = -9

y = -2x + 5

So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.

3(-2x + 5) - 2x = -9

Distribute

-6x + 15 - 2x = -9

-8x + 15 = -9

-15 to both sides

-8x = -24

Divide -8 to both sides

x = 3

Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.

y = -2(3) + 5

y = -6 + 5

y = -1

So the solution is (3,-1).

Hope this helps :)

The question is unclear to me, 30x3=10 WHAT, 30x3=90 not 10

And also it seems you already know the answer Perimeter=28cm

Answer:

C.

Step-by-step explanation:

Jordana made a mistake when she calculated the length of side B.

Answer:

I've put the answers in the attached photo. I hope it helps!

From the given below solution the value of m EF is 25%.

A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.

Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.

To find m EF, we need to add the percentages of participation in sports E and F:

m EF = percentage of participation in sports E + percentage of participation in sports F

m EF = 11% + 14%

m EF = 25%

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We can be 95% confident that the true proportion of correct responses made by touch therapists is between 0.383 and 0.555.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

a. If the touch therapists made random guesses, the probability of guessing correctly would be 1/2 or 0.5. Therefore, we would expect the proportion of correct responses to be 0.5.

b. The best point estimate of the therapists' success rate is the sample proportion, which is the number of correct responses divided by the total number of trials:

sample proportion = number of correct responses / total number of trials

= 145/309

= 0.469

Therefore, the best point estimate of the therapists' success rate is 0.469 or 46.9%.

c. To construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists, we can use the formula:

confidence interval = sample proportion ± (critical value) × (standard error)

where the critical value depends on the desired confidence level and the degrees of freedom, and the standard error is a measure of the variability in the sample proportion.

For a 95% confidence interval with 308 degrees of freedom (309 trials minus 1), the critical value is 1.96. The standard error can be calculated as:

standard error = sqrt[(sample proportion) × (1 - sample proportion) / n]

= sqrt[(0.469) × (1 - 0.469) / 309]

= 0.044

Therefore, the 95% confidence interval estimate of the proportion of correct responses made by touch therapists is:

confidence interval = 0.469 ± (1.96) × (0.044)

= (0.383, 0.555)

We can be 95% confident that the true proportion of correct responses made by touch therapists is between 0.383 and 0.555.

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Answer:

-3

Step-by-step explanation:

(-6)/(+2)

-6/+2

-3

Answer:

C. -3

Step-by-step explanation:

If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.

Answer:

D. \(y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}\)

Step-by-step explanation:

Let be \(y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right]\). To find the equivalent expression we must use the following property:

\(y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)]\) (1)

Based on this fact, we find the following equivalence:

\(y = 5\cdot \Sigma_{i=0}^{4} \left(\frac{1}{3} \right)^{i}\)

Hence, the correct answer is D.

Answer:

the answer is 57

Step-by-step explanation:

because you round to the nearest foot which it means that the answer good luck hope this helps

Answer:

54

Step-by-step explanation:

54 + 53 = 107

54

\( \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}\)

Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is \(\bold{54}\) and \(\bold{53}\)

\(\therefore\) it gives us a result of \(\bold{107.}\)

Answer:

(8 − 10)² − 30 ÷ 5 × 6 + 2

=(-2)² -(6*6)+2=4-36+2=-30

Answer:

-30 is the answer

Step-by-step explanation:

(8 − 10)² − 30 ÷ 5 × 6 + 2

= (-2)² − 30 ÷ 5 × 6 + 2

= 4 - 30 ÷ 5 × 6 + 2

= 4 - 6 × 6 + 2

= 4 - 36 + 2

= 6 - 36

= -30

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

144

Step-by-step explanation:

 12

X12

------

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 12

X  2

-----

Begin by multiplying 2 X 2 first, in the "ones" column.

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

2 X10=20

Place your 2 in the "tens" column--It should look like this...

 12

X  2

-----

 24

Since you are finished with the "ones" place, now you will work with the tens column.

put a zero under the 4 in 24.

then continue like this

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

If you have a times table, you can check yourself.

 12 X12=144

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The result of 12×12 is 144.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

To multiply 12×12 can be done as

       1   2

     × 1   2

    ______

1. Multiply 2 to 2, therefore, you will get the first term, thereafter, multiply 2 to 1.

       1   2

     × 1   2

    ______

       2   4

2. Next, leave the place below the first digit and start to multiply 1 to 2 and then to 1 to 1. Therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

3. Now add the term you will get the final result, therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

________

  1   4   4

Hence, the result of 12×12 is 144.

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Step-by-step explanation:

Solution is attached in pen paper form

Answer:

All angles in any quadrilateral adds up to 360°

Step-by-step explanation:

We can prove this by using 180(n - 2)

n = 4 for a quadrilateral

180(4 - 2)

180(2)

360°

So, 360 - (125 + 67 + 80) = 88°

Answer:

See below

Step-by-step explanation:

The interior angles of a quadrilateral (having 4 sides) add up to 360 degrees.

=> So, to find x, we'll simply subtract the rest if the angles from 360

So,

=> x = 360-125-67-80

=> x = 88 degrees

Answer:

6/8

Step-by-step explanation:

1/8+1/4+3/8

1/8+2/8+3/8

Answer:

Step-by-step explanation:

As per given we have:

Substitute d with 5s and solve for s:

The original speed of grey wolf can be 9 km/h or 48 km/h

Refer to the attachment for calculation

\(\underline{\boxed{\bf \dfrac{dy}{dx}=\dfrac{-1}{\sqrt{-2x^3-7x^2+8x+28}}-\dfrac{cos^{-1}\dfrac{x}{2}}{\sqrt{(2x+7)^3}}}}\)

Answer:

\(\dfrac{dy}{dx}=-\dfrac{2x+7+\arccos\left(\dfrac{x}{2}\right)\sqrt{4-x^2}}{(2x+7)\sqrt{4-x^2}\sqrt{2x+7}}\)

Step-by-step explanation:

Quotient Rule

\(\textsf{If }\:\:y=\dfrac{u}{v} \:\textsf{ then}:\)

\(\implies \dfrac{dy}{dx}=\dfrac{v \dfrac{du}{dx}-u\dfrac{dv}{dx}}{v^2}\)

Given equation:

\(y=\dfrac{\arccos\left(\dfrac{x}{2}\right)}{\sqrt{2x+7}}\)

To differentiate the given equation, apply the Quotient Rule:

\(\textsf{Let }\:u=\arccos\left(\dfrac{x}{2}\right)\)

\(\textsf{If }y=\arccos x \implies \dfrac{dy}{dx}=-\dfrac{1}{\sqrt{1-x^2}}\)

\(\begin{aligned}\implies u=\arccos \left(\dfrac{x}{2}\right) \implies \dfrac{du}{dx}& =-\dfrac{1}{\sqrt{1- \left(\dfrac{x}{2}\right)^2}}\dfrac{d}{dx}\left(\dfrac{x}{2}\right)\\\\& =-\dfrac{1}{\sqrt{1- \left(\dfrac{x}{2}\right)^2}} \cdot \dfrac{1}{2}\\\\ & = -\dfrac{1}{2\sqrt{1- \left(\dfrac{x}{2}\right)^2}}\\\\& =-\dfrac{1}{2\sqrt{\dfrac{4-x^2}{4}}}\\\\& =-\dfrac{1}{\dfrac{2\sqrt{4-x^2}}{2}} \\\\ & = -\dfrac{1}{\sqrt{4-x^2}}\end{aligned}\)

\(\textsf{Let }\:v=\sqrt{2x+7}=(2x+7)^{\frac{1}{2}}\)

\(\begin{aligned}\implies \dfrac{dv}{dx} & =\dfrac{1}{2}(2x+7)^{-\frac{1}{2}} \cdot 2\\\\ & = (2x+7)^{-\frac{1}{2}}\\\\ & = \dfrac{1}{\sqrt{2x+7}}\end{aligned}\)

Therefore:

\(\implies \dfrac{dy}{dx}=\dfrac{-\dfrac{\sqrt{2x+7}}{\sqrt{4-x^2}}-\dfrac{\arccos\left(\dfrac{x}{2}\right)}{\sqrt{2x+7}}}{(\sqrt{2x+7})^2}\)

\(\implies \dfrac{dy}{dx}=\dfrac{-\dfrac{\sqrt{2x+7}}{\sqrt{4-x^2}}-\dfrac{\arccos\left(\dfrac{x}{2}\right)}{\sqrt{2x+7}}}{2x+7}\)

\(\implies \dfrac{dy}{dx}=\dfrac{-\dfrac{\sqrt{2x+7}\sqrt{2x+7}}{\sqrt{4-x^2}\sqrt{2x+7}}-\dfrac{\arccos\left(\dfrac{x}{2}\right)\sqrt{4-x^2}}{\sqrt{4-x^2}\sqrt{2x+7}}}{2x+7}\)

\(\implies \dfrac{dy}{dx}=\dfrac{-\dfrac{(2x+7)+\arccos\left(\dfrac{x}{2}\right)\sqrt{4-x^2}}{\sqrt{4-x^2}\sqrt{2x+7}}}{2x+7}\)

\(\implies \dfrac{dy}{dx}=-\dfrac{(2x+7)+\arccos\left(\dfrac{x}{2}\right)\sqrt{4-x^2}}{\sqrt{4-x^2}\sqrt{2x+7}}}\times\dfrac{1}{2x+7}\)

\(\implies \dfrac{dy}{dx}=-\dfrac{2x+7+\arccos\left(\dfrac{x}{2}\right)\sqrt{4-x^2}}{(2x+7)\sqrt{4-x^2}\sqrt{2x+7}}\)

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

It could be +₹250​ if positive or -₹250 ​if negative

Step-by-step explanation:

Answer:

  a)  21, 34.5, 54.75, 85.125

Step-by-step explanation:

All of the answer choices differ in the first term, so that is the only one you need to figure here. However, we will do them all, so you can see it done.

We note that x > 0 for all of the values of x that we need to use. That means the recursive relation is the one we're using for computation.

f(1) = 3/2·f(0) +3 = (3/2)(12) + 3 = 18 +3 = 21 . . . . . . matches choice (a)

f(2) = 3/2·f(1) +3 = (3/2)(21) +3 = 63/2 +3 = 69/2 = 34.5

f(3) = 3/2·f(2) +3 = (3/2)(34.5) +3 = 51.75 +3 = 54.75

f(4) = 3/2·f(3) +3 = (3/2)(54.75) +3 = 82.125 +3 = 85.125

__

When you're computing for sequential input values, each depends on the previous value you computed.

_____

Additional comment

Using an exponential regression calculator (or spreadsheet), the explicit function can be found to be ...

  f(x) = 18·1.5^x -6

Solution of the system of equation -2x+2y=6 and 4x+2y=-5 using elimination method is given by x=-11/6 and y=7/6.

As given in the question,

System of equation is given by

-2x+2y = 6  __(1)

4x+2y= -5  __(2)

Using elimination method, eliminate the variable y by subtracting (1) from (2)

4x + 2y = -5

-2x + 2y= 6

+     -     -

6x + 0y= -11

⇒x= -11/6

Substitute x = -11/6 in System of equation (1)

2y= 6+2(-11/6)

⇒y= 7/6

Therefore, solution of the system of equation -2x+2y = 6 and 4x+2y=-5 using elimination method is given by  x=-11/6 and y=7/6.

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The graphs of the function are added as an attachment and the function categories are listed below

Given the exponential functions 1 to 5

The graphs of the function are added as an attachment

y = 129(1.63)^x:

This function represents growth because the base of the exponential term (1.63) is greater than 1.

To calculate the y-intercept, we can substitute x=0 into the equation:

y = 129(1.63)^0

y = 129(1)

y = 129

So the y-intercept is 129.

f(x) = 4(5/6)^x: This function represents decay because the base of the exponential term (5/6) is between 0 and 1.

To calculate the y-intercept, we can substitute x=0 into the equation:

f(x) = 4(5/6)^0

f(x) = 4(1)

f(x) = 4

So the y-intercept is 4.

y = 12(17/10)^x: This function represents growth

y = 12(17/10)^0

y = 12(1)

y = 12

So the y-intercept is 12.

y = 0.8(1/8)^x: This function represents decay

y = 0.8(1/8)^0

y = 0.8(1)

y = 0.8

So the y-intercept is 0.8.

y = 1/100(4/3)^x: This function represents growth

So the y-intercept is 1/100

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Answer:

Option A . 122°

.............

Explanation:

Alternate exterior angles are congruent when we have parallel lines like this.

You can use their vertical angle counterparts to then use the alternate interior angles if you want.

Answer:

4

Step-by-step explanation:

Answer:

250%

Step-by-step explanation:

an easy way for doing this is look at the 1/2 part because 1 divided by 2 is 0.5 yo move the decimal 2 spaces to the right and you have 050 which is 50 and then you just add the 2 in front of the 50 and you have 250 which in this case is 250%