In this course, we'll begin to
explore "opposite" function types. For example, think about
a quadratic function and its key features. What key features do you think its opposite
function will have? Why?

Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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Answer:

scale factor = 3

Step-by-step explanation:

since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.

given D (12, - 4 ) and D' (36, - 12 ) , then

scale factor = [tex]\frac{36}{12}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

Answer:

5.369 x 105

Step-by-step explanation:

Answer:

5.369 x 105

Cause in scientific notation, the decimal point is always after the first number from the left.

Answer:

1/ 0.8 kilograms

2/ 800 grams

Step-by-step explanation:

We know

1/

Baseball bat = 28 ounces

1 kilogram = 35 ounces

To find weight in kg we take

28 / 35 = 0.8 kg

2/

We know

1 kg = 1000 g

0.8 kg = 800 grams

So, the baseball bat weights 0.8kg or 800 grams

Answer: 40

Step-by-step explanation:

   We will substitute x = 8 and simplify the given expression.

 Given:

6x-x

 Substitute:

6(8) - 8

 Multiply:

48 - 8

 Subtract:

40

The measure of the exterior angle for Object 1 - a decagon is 36°, while th measure of the exterior angle for Object 2  - a dodecagon is 30°.

n object with 12 sides is called a dodecagon while an object with 10 sides is called a decagon.

Note that the exterior angles of all shapes, regular or irregular is 360°. In this case, the shapes are regular, which means that the sides are equal, hence their angles will be equal.

To derive the exterior angle of a regular geometric shape, the formula is given as:

Exterior angle measure = 360 / number of sides

Hence for A (the decagon), we have:

EAM = 360/10

= 36°

For B (the dodecagon) we have:

EAM = 360/12

= 30°

Thus the exterior angle for both shapes are 36° and 30° respectively.

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You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.

According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.

Explain:

[tex]\frac{4}{5}[/tex] ×(20×17/8)

20×17/8

340÷8

[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]

= [tex]\frac{64}{2}[/tex]

= 32

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The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.

The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.

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Answer:

y = 2x+ 3

Step-by-step explanation:

The Fraction for the given word problem is x/y = 9/11

A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.

Let the fraction be x/y

The numerator of a fraction is 2 minus its denomination.

⇒ x = y - 2 .....(i)

When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4

⇒ x - 3/y - 3 = 3/4

Can also be written as

⇒ 4(x + 3) = 3(y - 3)

⇒ 4x - 12 = 3y - 9

⇒ 4x - 3y = -9 + 12

⇒ 4x - 3y = 3 .....(ii)

Substitute the value of (i) in (ii)

⇒ 4x - 3y = 3

⇒ 4(y - 2) - 3y = 3

⇒ 4y - 8 - 3y = 3

⇒ y - 8 = 3

⇒ y = 3 + 8

⇒ y = 11

Putting the value of y in (i).

⇒ x = y - 2

⇒ x = 11 - 2

⇒ x = 9

Hence, Fraction = x/y = 9/11

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The three combinations of pennies and quarters are:

A. 1,560 Pennies and 124 Quarters

B. 2,600 Pennies and 49 Quarters

C. 3,120 Pennies and 24 Quarters

The total value of the pennies and quarters is $62.00. This can be achieved with either 1,560 pennies and 124 quarters (1,560 x 0.01 + 124 x 0.25 = 62.00), 2,600 pennies and 49 quarters (2,600 x 0.01 + 49 x 0.25 = 62.00) or 3,120 pennies and 24 quarters (3,120 x 0.01 + 24 x 0.25 = 62.00).

To find the combinations of pennies and quarters that are worth $62.00, begin by finding the number of pennies that equal $

62.00. 62.00/0.01 = 6,200 pennies.

Next, subtract the value of the pennies from the total to find the value of the quarters.

62.00 - (6,200 x 0.01) = 24.00.

Divide the value of the quarters by 0.25 to find the number of quarters. 24.00/0.25 = 96 quarters.

To arrive at the three combinations

, 1,560 pennies and 124 quarters

(1,560 + 96 = 1,656, 1,656 x 0.01 + 124 x 0.25 = 62.00),

2,600 pennies and 49 quarters

(2,600 + 49 = 2,649, 2,649 x 0.01 + 49 x 0.25 = 62.00)

and

3,120 pennies and 24 quarters

(3,120 + 24 = 3,144, 3,144 x 0.01 + 24 x 0.25 = 62.00).

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15%

If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%

Answer:

There is one unique solution (-3, 6)

Step-by-step explanation:

Desmos graphing calculator helps a lot with this stuff

Answer: b) there is only one unique solution (-3, 6)

Step-by-step explanation:

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

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Autumn and Terry can talk because the distance between them is 2 miles

Polly and terry can not talk because the distance between them is 2.27 miles.

Polly and Autumn's distance can talk because the distance between them is 1.56 miles.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Autumn and Terry distance = 2 mile

Polly and Autumn's distance = x miles

Polly and terry's distance = y miles

Now,

Applying the Sin rule of a triangle.

2 / sin 59° = x / sin 42° = y / sin 79°

2 / 0.86 = x / 0.67 = y / 0.98

Find x.

2 / 0.86 = x / 0.67

x = 1.56

Find y.

2/0.86 = y / 0.98

y = 2.27

Now,

Polly and Autumn's distance is 1.56 miles.

This means they can talk.

Polly and terry's distance is 2.27 miles.

This means they can not talk.

Thus,

Polly and Autumn can talk.

Polly and terry can not talk.

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The cost of soda as calculated from the data given is found to be as 0.9 cents.

the price of 1 burger = x

the price of 1 soda =y

Therefore, the equation for Uri and Gen becomes,

2x + y = $2.10

x+ 2y = $2.40

On solving these two equations we will get the value of x and y which represents their cost.

on multiplying equation 2 with 2 , we will get ,

2x + 4y = 4.80

Therefore , on subtracting equation 1 and 2 ,

 2x + y = $2.10

- 2x + 4y = 4.80

=> -3y = - 2.7

=> y = 0.9

Therefore x will be ,

x+ 2y = $2.40

x+ 2(0.9) = $2.40

x + 1.8 = $2.40

x = 2.40 - 1.8

  = 0.60

Therefore, cost of soda is 0.9 cents.

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This given figure carries onto themself at 360, 180, and 60 degrees respectively.

If a rotation between 0° and 360° around the center of a figure in the plane may map the figure onto itself, the figure possesses rotational symmetry. From its starting point, the figure can be rotated and mapped onto itself. The symmetry is of order 4. As a result, the figure displays both rotational and line symmetry.

Given three figures those figures have rotational symmetry from their center point.  The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation.

for figure 1

figure 1 does not have rotational symmetry on any given angles thus, its rotational symmetry would be 1 since it carries onto itself at 360°.

for figure 2

figure 2 has rotational symmetry at 180°. thus, its rotational symmetry would be 2 since it carries onto itself at 180° and 360°.

for figure 3

figure 3 has rotational symmetry at 60, 120, 180, and 240. thus, its rotational symmetry would be 6 since it carries onto itself at 60, 120, 180, 240, and 360°.

therefore, the given figures have 1, 2, and 6 rotational symmetry.

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The percentage of ounce Dariu has left of his port drink is 55%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

It is given that Dariu ha a 40-ounce port drink.

He drank 18-ounce port drink.

First calculate what percentage of port drink Dariu drank.

The equation is -

= (18/40) × 100

= 45%

So, Dariu drank 45% of the port Drink.

Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -

100 - 45 = 55

Therefore, Dariu has 55% drink left.

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Answer: You need to drew , this arrow , to each point  K,L,M,N,

Drawing must be parallel to , this arrow, AND , exactly the same length, as the arrow .

step 2.  when you drew it , then at the end are your new points, K",L",M",N".

Ok?

step 3.

Then you just read  the  coordinates.  of new  points .

I would gladly drew it ,  but I do not knew how to put picture  in  this , jet .

Step-by-step explanation:

Developer has 627264 square feet land available.

The minimum permissible quantity of an asset that is accepted for purchasing.

How many lots the developer has as per question?

A developer wants to develop 18-acre property = 784080 square feet area

he notices that street and common area will take up about 20% of total area.

hence, the remaining area for developing works = 80%

the amount of land rest for the developer = 784080 ×80 /100

                                                                    = 627264 square feet.

there is a rule that minimum lot size is to be 10000 square feet for developing works,

the above amount 627264 square feet lot can the developer have on this property that is higher than the minimum lot value.

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The sales manager should allocate approximately 341311.111 for advertising in the budget.

Generally, Advertising expenditure refers to the amount of money that a company or organization spends on promoting their products or services through various forms of advertising media, such as television, radio, print, and online.

This can include costs for creating and producing advertisements, as well as fees for placing them on different platforms. Advertising expenditure can also be referred to as "advertising budget" or "advertising spend."

To find the advertising expenditure needed to reach a target sales volume of $200,000, we can use the equation provided: Estimated Sales Volume = 46.41 + 0.45(Advertising Expenditures)

We can set the target sales volume as the left-hand side of the equation and solve for the advertising expenditure:

200,000 = 46.41 + 0.45(Advertising Expenditures)

Subtracting 46.41 from both sides:

153,590 = 0.45(Advertising Expenditures)

To find the Advertising Expenditures, divide 153,590 by 0.45:

Advertising Expenditures = 341311.111

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Sequencing, selection, and iteration are the three fundamental building blocks that make up an algorithm.

An algorithm in mathematics is a process, a description of a series of steps that can be used to solve a mathematical computation, but they are now much more prevalent than that. The long division algorithm is perhaps the most well-known application of algorithms in science (and in daily life, for that matter).

Algorithms are all about figuring out the most effective ways to perform the math, despite the fact that the above explanation might sound a little fussy and detailed. Mathematicians are known for being lazy, so they frequently seek out shortcuts, as the anonymous mathematician puts it. For locating these short cuts, algorithms are used.

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The scale factor of the drawing of the neighborhood park would be = 2000.

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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The depiction of numbers as an equilateral triangle organized in a series is known as a triangular number sequence. These numerals follow a 1, 3, 6 order.

A number that may be expressed as the sum of the initial n positive integers is referred to as a triangular number.

Thus, the first three triangular numbers 1, 3, 6.

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Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

Answer:

0.0558

Step-by-step explanation:

3% is out of hundred so we multiply

3%×1.86=0.0558

Checking:

0.0558÷1.86=0.03

0.03=3%

The best answer from the choices provided is a = plus-or-minus 16 . Option C

A quadratic equation can be defined as an equation that can be rearranged in a standard form

Such that;

These quadratic equation are also described as polynomial equation having its highest degree as 2.

From the information given, we have that;

3a² - 21 = 27

collect like terms

3a² = 27 + 21

Add the values

3a² = 48

Divide both sides by 3

a² = 48/3

a² = 16

Hence, the value is a² = 16

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Answer: a) AE || BC     b)AB=BC      c)AE⊥ED &ED⊥CD

Step-by-step explanation:

a) The line segments that have the arrow sign on them mean that they are parallel, so AE || BC ( || = parallel to).

b) When two line segments have a dashed line on it, it shows that they are the same length, so AB is equal to BC.

c) when two segments intersect with a 90° angle, they are perpendicular, so AE⊥ED &ED⊥CD(⊥ = perpendicular to).

Answer:

hhhhhhhhhhhhhhhh hhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh