the length of a rectangle is four times it's width. if the perimeter is at most 106 centimeters, what is the greatest possible value for the width?

Answer:

3²- 16x +5

9-16x+5

-16x+9+5

-16x + 14

Step-by-step explanation:

I hope this will be helpful for you.

Cost of the health insurance is $12925.33

What is cost?

A cost is the worth of cash that has been used up to create it or supply a function and is thus no longer accessible for use in manufacturing, research, commerce, or bookkeeping. In business, the cost might be one of procurement, in which case the money being spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's direct capital costs above and beyond the amount paid to the producer. Typically, the package includes a gross margin above the cost of manufacture.

9% of x = 48.47

x = 48.47 x 100/9

  = $538.55

Total cost = $538.55 x 24 months = $12925.33

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The function f(x) = 2x² - x + 3 equals to 9 when x is equal to 2.

What is function in mathematics?

In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and another variable (the dependent variable). In mathematics, functions exists everywhere, and they are crucial for constructing physical links in the sciences.

The function given in the question is:

f(x) = 2x² - x + 3

We have to find f(x) when x = 2,

We are replacing x with 2 in given function, we get:

f(x) = 2(2)² - 2 + 3

f(x) = 2(4) -2 + 3

f(x) = 8 -2 +3

f(x) = 9

Hence the given function equals to 9 when x is equal to 2.

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Complete question

Given f(x) = 2x² -x+3

Find f(x) when x = 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6.07 \times 10^7}\\\mathsf{= 6.07(10^7)}\\\mathsf{= 6.07(10\times10\times10\times10\times10\times10\times10)}\\\mathsf{= 6.07(100\times100\times100\times10)}}\\\mathsf{= 6.07(10,000\times1,000)}\\\mathsf{= 6.07(10,000,000)}\\\mathsf{= 60,700,000 \rightarrow 6.07\times 10^7}\\\\\huge\text{Therefore, your answer should be: }\boxed{\mathsf{60,700,000}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The answer is D.

Step-by-step explanation:

I hope 'm not too late answer your question good luck.

The equation of the line perpendicular to the line −7x+2y=3 having the same y-intercept as 9x+3y=−2 is  y = - 2 / 7x - 2 / 3

The equation of a line can be represented as follows:

y = mx + b

where

Therefore, the equation of the line is perpendicular to  −7x+2y=3.

−7x+2y=3

2y = 7x + 3

y = 7 / 2 x + 3 / 2

Perpendicular lines follows the rule below:

m₁ m₂ = -1

7 / 2 m₂ = -1

7m₂ = -2

m₂ = - 2 / 7

Therefore, the equation of the line also haver the same y-intercept as

9x + 3y = −2.

3y = - 9x  - 2

y = -3x - 2  /3

The y-intercept of the equation is - 2 / 3.

Hence

the equation of the line is y = - 2 / 7x - 2 / 3

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Answer:Explanation:

Yes

The point is a solution if it satisfies the inequality.

In this case, the inequality is y ≤ (1/3)x + 4, so replacing (x, y) = (-6, 2), we get:

y ≤ (1/3)x + 4

2 (1/3)(-6) + 4≤

2 ≤ -2 + 4

2 ≤ 2

Since 2 is equal to 2, the inequality is satisfied and (-6, 2) is a solution.

So, the answer is Yes.

[tex] = \sqrt{6} + \sqrt{12} + \sqrt{12} \\ \\ = \sqrt{6} + 2 \sqrt{12} \\ = \sqrt{6} + 2 \sqrt{4 \times 3} \\ = \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{3} \\ = \sqrt{6} + 2 \times 2 \sqrt{3} \\ = \sqrt{6} + 4 \sqrt{3} [/tex]

ATTACHED IS THE SOLUTION

The ordered pairs are on the inverse function are (-5, -2) and (4, 1)

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

From the question, we have the following coordinate points

Rewrite the points as:

Remove the inflection point.

So, we have

The next step is to switch/swap the positions of x and y in the above equation ordered pairs

So, the points become:

Hence, the ordered pairs that are on the inverse function of the function are (-5, -2) and (4, 1)

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Answer:

its

A(-5,-2),

B(0,-1),

E(1,0),

F(4,1).  

Step-by-step explanation:

i took one for the team

Cost of the health insurance is $11657.14

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

14% of x = 68

x = 68 x 100/14

  = $485.71

Total cost = $485.71 x 24 months = $11657.14

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The equation of the line will be equal to 3y = -x + 21.

A line may be defined as the straight figure drawn which has no end points. The equation of a line can be written in slope intercept form as y = mx + c where m is the slope of line, c is y intercept an x and y are independent and dependent variables. If a point (x₁, y₁) is given then equation of line is (y - y₁) = m (x - x₁). The slope of line which is perpendicular to a given line having slope m is equal to -1/m.

Now, equation of line is y = 3x + 3. If we compare with slope intercept form then, m = 3. Now, slope of line perpendicular to this line is equal to -1/3. Now, equation of line passing through point (-6, 9) is given as

(y - 9) = -1/3 (x + 6)

3y - 27 = -x - 6

=> 3y = -x + 21 which is the required equation of line.

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It is proved that the line c is parallel to line d.

For the given question;

Angle 2 and angle 3 are supplement;

∠2 + ∠3 = 180    ......eq 1

See from figure.

∠4 = ∠3  (vertically opposite angles)

Thus, replacing ∠3 with  ∠4 in eq 1.

∠2 + ∠4 = 180   (linear pair)

As ∠2 and ∠4 form the linear pair. Thus, line c is parallel to line d.

Therefore, line c proved to be parallel to line d.

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The value of x = 18.

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Median = [tex]\frac{n+1}{2} ^{th}[/tex] term

Given that,

The median of the data is 25.

The observations are 17, x, 24, x+7, 35, 36, 46.

Here, n = 7

Median = 25

Median = [tex]\frac{7+1}{2} ^{th}[/tex] term

Median = [tex]\frac{8}{2}^{th}[/tex] term

Median = 4[tex]^{th}[/tex] term

Median = x+7

25 = x+7

X = 25-7

X = 18

Here, x+7  

X+7 = 18+7

X+7 = 25.

Therefore, the value of x is 18.

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Explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible

then

Step 1

Let

rectangle filled with spinach= favorable outcomes=3

total outcomes= total casseroles= 3+8+3+4=18

Now, replace.

therefore, the answer is 0.17

I hope this helps you

For breakfast, the family decides to spend no more than $20.00 for the week.

Each day, the family drinks 2/7 of a liter of milk for breakfast.

For the entire week, the amount of milk consumed is

Milk costs $4,49 per liter, so the cost of the total amount of milk consumed is

So, the amount left for the granola is

Each day, the family eats 1/3 of a pound of granola for breakfast.

For the entire week, the amount of granola consumed is

Let x be the price per pound of the most expensive granola they can afford.

Therefore, the most expensive granola they can afford is $4.72

Answer:

20a + 12c = 6000

Step-by-step explanation:

a = adult tickets

c = child tickets

$20 for adults, $12 for children, for a total of $6000

20a + 12c = 6000

a + c = 400

Answer:

When x = -4, the equation's answer is -6.

Hope this helps!

Step-by-step explanation:

3(-4) - ( -4 ) + 2

-12 - (-4) +2      ( negative times negative is positive )

-12 + 4 + 2

-8 + 2 or -12 + 6

is -6

Answer:

The answers are all there. 50° + 22°= 77°

180° - 77° = 103°

Step-by-step explanation:

All the rest is just mirrored.

y = 1 / 3 x + 5 is the linear equation for the first table.

The system of equations' answer is (3, 6).

A linear equation is an algebraic equation of the form y= mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation with two variables."

based on the available facts;

Equation of a point slope:

y = mx + b,

where m = slope and b = y-intercept

As a result, the equation for the second table is y = - 1 /3 x + 7.

With the help of the table's (0, 5)(3, 6) values, the equation for the first table may be solved. Therefore,

m = 6 - 5 / 3 - 0 = 1 / 3

let's find b using (0, 5)

5 = 1 / 3(0) + b

b = 5

Therefore, the equation of the first table is as follows:

y = 1 / 3 x + 5

The solution to the system of equation can be calculated as follows:

y + 1 /3 x  = 7

y - 1 / 3 x  = 5

2y = 12

y = 12 / 2

y = 6

6 - 1 / 3 x = 5

- 1 / 3 x = 5 - 6

- 1 / 3 x = - 1

x = 3

Therefore, the solution to the system of equation is (3, 6)

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Mike works 40 hours at job A and 18 hours at job B.

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. This suggests that the equations are simultaneous and have a single solution.

Given:

Mike makes $7 per hour at job A and $8 per hour at job B.

Let x be the number of hours Mike spends working at job A and y be the number of hours he spends working at job B.

Since he works a total of 58 hours per week,

x + y = 58

His total pay for one week is ​$424.

7x + 8y = 424

Solving both equations simultaneously we get,

From the first equation, we have, y = 58 - x

Putting the value of y in the second equation,

7x + 8(58 - x) = 424

7x + 464 - 8x = 424

8x - 7x = 464 - 424

x = 40

So, now calculate y = 58 - 40 = 18

Therefore, Mike spends 40 hours working at job A and 18 hours working at job B.

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Given,

The value of n is 8.

The value of x is 0.

The value of p is 0.6.

The binomial expression is,

Subsituting the values then,

ence, the probability is 0.0007.

Answer:

(7,3.5)

Step-by-step explanation:

Midpoints

x = (x1 + x2)/2 = (9 + 5)/2 = 14/2 = 7

y = (y1 + y2)/2 = (2 + 5)/2 = 7/2 = 3.5

Cos(0) = - 0.949 this expression is accurate for the unit circle which is intersected at point by angle 8 according at point (-0.949, 0.314).

An elliptical plane figure is a circle. From a fixed location known as the circle's center, each point on the circle is equally distant. It has a two-dimensional (2D) shape and a radius value. The Latin word "circulus" (which means little ring) is the root of the English word "circle."A circle is a two-dimensional shape that is made up of a collection of points that are spaced out from the center of the circle (its fixed point) on the plane by a fixed or constant distance (radius). The radius of a circle is the fixed distance between points that is fixed from the fixed point, which is known as the origin or center of the circle.

The terminal side of angle 0 intersects the unit circle at point P(- 0.949, 0.314) That means, OQ = 0.949 and PQ = 0.314

Here, OP is the radius of the unit circle. So, OP = 1

In respect of angle 0, the adjacent side is OQ and the hypotenuse is OP.

We know that,

cos= [tex]\frac{adjacent}{hpotenusey}[/tex]

So,

cos(0) = - [tex]\frac{OQ}{OP}[/tex]  [As the angle is in quadrant II, so cos is negative]

cos(0) = - [tex]\frac{-0.949}{1}[/tex]

cos(0) = - 0.949

Cos(0) = - 0.949 this expression is accurate for the unit circle which is intersected at point by angle 8 according at point (-0.949, 0.314).

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Answer:

1 minute and 75 seconds

Step-by-step explanation:

you take 4 and divide it by 7 minutes there for getting 1.75

The unknown angles of the triangle and trapezium are as follows:

A triangle is a polygon with three sides.

The sum of angles in a triangle is 180 degrees.

Therefore, angle 1 can be found as follows:

∠1 = 180 - 40 - 30

∠1 = 180 - 70

∠1 = 110 degrees.

Therefore, angle 2 can be found as follows:

∠2 = 180 - 40 - 40 - 30 - 30

∠2 = 180 - 80 - 60

∠2 = 180 - 140

∠2 = 40 degrees.

A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.

Therefore, the triangle in the trapezium is an isosceles triangle. The base angles are equal.

Hence,

∠1 = 180 - 30 - 30

∠1 = 180 - 60

∠1 = 120 degrees

Sum of angles in the same transversal is supplementary.

Therefore,

90 + 30 + ∠2 = 180

∠2 = 180 - 120

∠2 = 60 degrees

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Answer:

1.1 and 1.12

Step-by-step explanation:

a rational number is any number that can be written as a fraction or a decimal that does not go on forever (unless it is a repeating decimal, ex: 3.454545..)

so any decimal that can be written as a fraction that is between 1 and 1.2 works

Answer:

13 ⅓.

Step-by-step explanation:

The area of a rectangle is given by

Area = Length × Breadth

Length = 2 7/9 = 25/9 and breadth = 4 4/5 = 24/5

.: Area = 25/9 × 24/5 = 600/45 (15 can go to both the numerator and denominator)

We have 40/3 but to convert it to a mixed fraction we get 13 ⅓ as your area.

Your answer is correct.

According to the given values, the length of the arc is 1 cm approx.

So, the formula to find the length of the arc:

Now, substitute the values in the formula as follows:

Therefore, according to the given values, the length of the arc is 1 cm approx.

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