Select the correct answer.
Which of the following represents a function?
B. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
C. x -5 -1 9 8 -1
y 1 7 23 17 1

Answer:2 is the scale factor

Step-by-step explanation:

Based on the package of boondins and the package of rews, the package of rews will have a weight in relation to the package of boondins that is 3.77 ounces

To find how much more that the package of rews weighs over the boondins, deduct the weight of the package of boondins from the weight of a package of rews.

Weight of package of rews = 9.97 ounces

Weight of package of boondins = 6.2 ounces

The difference in the weight of the packages is:

= 9.97 - 6.2

= 3.77 ounces

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The required difference in the package of the bodies and rews is 3.77 ounces.

As per the given in the question,
boudin is 6.2 ounces in weight and rews are 9.97 ounces in weight.

here,
As per observation, rews weighs more than bodies, and the difference between their weights is simply evaluated from the subtraction between the weight. So,
Weigh difference = weigh of rews  - weigh of boodins
Substitute the value in the above equation,
Weigh difference = 9.97 - 6.2 = 3.77.

Thus, the required difference in the package of the bodies and rews is 3.77 ounces.

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Given:

Principal (p) =$3,000

Time (T) = 48 months = 4 years

Interest rate = 4.5%

Required :

Ending balance = ?

The simple interest :

Ending balance :

Ending balance = $ 3540

The required probability is 0.852

Here, n=15

P(X ≤5) = P(X = 1)+...+ P(X = 5)

            = [(¹⁵₀)(0.25)⁰ (1-025)¹⁵⁻⁰ +...(¹⁵₅)(0.25)⁵ (1-0.25)¹⁵⁻⁵]

            = 0.01336+...+0.16515

            = 0.85163

            = 0.852  (Round to 3 decimal place)

Hence, the required probability is 0.852

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   y - 5 = -1 ( x + 3 )  is Equation of a Lin in slope intercept form,.

What is in slope-intercept form?

Slope between the points M(-3, 5) and N(2, 0).

       m = 0 - 5/2 + 3

       m = -5/5  = -1

the equation of   point-slope form

    y - y₁ = m ( x - x₁ )

   y - 5 = -1 ( x - ( -3 ))

   y - 5 = -1 ( x + 3 )

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Answer:

y = 3x + 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 8, - 4 ) into the partial equation

- 4 = - 24 + c ⇒ c = - 4 + 24 = 20

y = 3x + 20 ← equation of parallel line

Answer:

Step-by-step explanation: From the given point,

The line is: -8x-4y=0

           viz, 2x+y=0

The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80

The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)

As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.

Here

By replacing the supplied value in the previous equation, we obtain -

values of the probabilities for a two-tailed test

p-value = P (alpha/2) +  P (alpha/2)

p-value = 0.40 + 0.40

            =0.8

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Answer:

We have been given an equation . We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.

Since x is greater than, so we will take positive root on both sides of our given equation as:

Upon looking at our given choices, we can see that option C is same as our answer.

Step-by-step explanation:Therefore, option C is the correct choice.

Answer:2=x

Step-by-step explanation:

x+4=x^2

0+4=x^2

Square root 4 = square root x^2

2=x

We can define the percent error as the difference between the estimated value and the actual value, divided by the actual value.

In this case, the estimated value (what Jimmy thought he had purchased) is 7 and the actual value is 6.

Then, the percent error is:

The percent error is 16%.

The line should be perpendicular to x = -4

x= -4 is a vertical line crossing the x axis at x= -4

The slope is undefined in x =-4

For an equation in slope intercept form, the general form is ;

y= mx + b where m is the slope and b is the y-intercept

So for any y value, x is always -4

Thus the slope for line x = -4 is not defined

A line perpendicular to x = -4 will thus be a horizontal line with slope 0

For the equation of this line

0= y--5/x-4

0 = y+5 /x-4

0{x-4} = y +5

0 = y+5

y= - 5

Given:

Required:

To find the quotient and remainder using synthetic division.

Explanation:

Consider

Here the quotient is

And the remainder is

Final Answer:

Quotient :

Remainder : -9.

Answer:

The answer is |-3|

Step-by-step explanation:

The absolute value of a negative number will always be the same number but positive. Like the absolute value of |-4| will be 4.

The all possible zeros predicted by the Rational Zero Theorem individually and separated by commas are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

P(x) = 11x³ + 2x² + x + 10

The factors of the constant term 10 is  ±1, ±2, ±5, ±10 (=p)

The factors of leading coefficient are ±1, ±11 (= q)

The possible rational zeros are p/q : ±1/1, ±1/11, ±2/1, ±2/11, ±5/1, ±5/11, ±10/1, ±10/11.

After simplification the possible roots are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

Therefore, ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11. are the all possible zeros predicted by the Rational Zero Theorem individually and separated by commas.

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Answer:x>-11/2

search it for a better understanding of the understanding the question

Answer:

x > -11/2

Step-by-step explanation:

Given inequation,

→ 12(x + 3) > 4x - 8

Now the value of x will be,

→ 12(x + 3) > 4x - 8

→ 12x + 36 > 4x - 8

→ 12x - 4x > -8 - 36

→ 8x > -44

→ [ x > -11/2 ]

Hence, value of x is -11/2.

The angle x of the triangle is 60 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is equals to 180 degrees.

A triangle can be classified base on the sides and angles. For example equilateral triangle, scalene triangle and isosceles triangle.

Therefore, the angle x of the triangle can be found as follows:

x + x + x = 180

3x = 180°

divide both sides of the equation by 3

3x / 3 = 180 / 3

x = 180 / 3

x = 60 degrees.

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Answer:

the person below or above me is the answer. Yeah

Step-by-step explanation:

The equation is = because 1 makes a denominator equal zero and is a solution of the equation derived from cross multiplying. A valid solution to a problem that vanished during the process of solving it is referred to as a missing solution.

An extraneous solution in mathematics is a solution that develops during the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation. A valid solution to a problem that vanished during the process of solving it is referred to as a missing solution.

We have to open the equation by using cross multiplication

10(3x - 3) = 15(x² - 1)

= 30x - 30 = 15x² - 15

we would have to factorize

30(x-1) = 15(x-1)(x+1)

We have to divide by 15(x-1)

2 = x + 1

take the like terms

2 -1 = x

x = 1

Hence the equation that has the extraneous solution is option a because the solution is 1.

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the size of the wedge for aqua pencils is 43°

Given:

A table showing the pencil collection

To find:

the portion that represents the aqua pencils in degree

The total number of pencils = 23 + 106 + 62 + 47 + 32

The total number of pencils = 270

In degrees:

Total angle in a circle = 360°

Size of the wedge for aqua = number of aqua pencils/total pencils × 360°

To the nearest degree, the size of the wedge for aqua pencils is 43°

The center of the hyperbola is (2, -3)

A hyperbola is a curve that is open and that has two branches and it is symmetrical

The equation is given as

(y + 3)²/9 − (x − 2)²/2 = 1

A hyperbola is represented as

(y - k)²/a² − (x − h)²/b² = 1

Where the center of the hyperbola has the coordinates of (h, k)

The values of h and k in the given equation (y + 3)²/9 − (x − 2)²/2 = 1 are

h = 2 and k = -3

This means that:

(h, k) = (2, -3)

So, we have coordinates of the center to be (2, -3)

Hence, the center is (2, -3)

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The height of plant will be 7.56cm tall after 2 weeks

The original height of the plant is 6.2cm

The height increases by 11% each week

= 11/100

= 0.11

The increase of the plant in a week

= 0.11 × 6.2

= 0.682

The height of the plant after two weeks can be calculated as follows

= 0.682 + 0.682

= 1.364

= 6.2 + 1.364

= 7.56

Hence the height of the plant after 2 weeks is 7.56cm

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Answer:

23

Step-by-step explanation:

Answer: the Equation is y-3=0.4(x-1) or y-5=0.4(x-6).

Step-by-step explanation: I hope this helps.

There are 264 red marbles in a bag.

What is Marbles?

A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.

Let x = Number of red marbles

y = Number of black marbles.

A bag contains 275 marbles.

So, x + y = 275             ..(1)

There are 24 red marbles for every black marble.

x = 24y       ..(2)

Plug value of x in equation (1).

24y + y = 275

25y = 275

y = 11

Put y = 11 in equation (2),

x = 24(11)

x = 264

Hence, there are 264 red marbles in the bag.

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Answer:

==============================

[tex]\cfrac{ax+b}{4}=\cfrac{x+c}{3}[/tex]                                              Given

[tex]3(ax+b)=4(x+c)[/tex]                                     Cross-multiply

[tex]3ax + 3b=4x+4c[/tex]                                       Distribute

[tex]3ax-4x=4c-3b[/tex]                                       Collect terms with x

[tex]x(3a-4)=4c-3b[/tex]                                       Factor out x

[tex]x=\cfrac{4c-3b}{3a-4}[/tex]                                                   Divide both sides by 3a - 4

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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Step-by-step explanation:

you don't a type your question. so if it correct i will be happy to help you

Answer:

0.14 meters, or 140 mm

Step-by-step explanation:

(1/40) means that the model car will have dimensions that are (1/40) the original car.

Real car = 5.5 meters.

Model car = (1/40)*(5.5 m) = 0.14 meters, or 140 mm

Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).

What does the triangle's angle relationship mean?

Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.

A congruent triangle ,

if all of two triangles' sides match, then they are said to be congruent.

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Answer:

First answer is obtuse

The second answer is scalene

Step-by-step explanation:

Obtuse is when an angle is over 90

Scalene since all the angles are different, all the side lengths are different.

Answer:

The amount invested at 8% was $11,000

The amount invested at 9% was $19,000

Step-by-step explanation:

Let the variable x represent the amount in $ invested at 8% and let y be the amount in $  invested at 9%

Total amount invested:
x + y = 30000   [1]

8% = 8/100 = 0.08

9% = 9/100 = 0.09

Interest at 8% on $x = 0.08x

Interest at 9% on $x = 0.09x

Total Interest :

0.08x + 0.09y = 2590  [2]

Using equations [1] and [2] we can solve for x and y

We have

x + y = 30000   [1]
0.08x + 0.09y = 2590  [2]

Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)

0.08x + 0.08y = 2,400  [3]

Subtract [3] from [2] :

0.08x + 0.09y = 2590  
-
0.08x + 0.08y = 2400  
----------------------------------
       0x + 0.01y = 190

Divide both sides by 0.01
0.01y/0.01 = 190/0.01

y = = 19,000

Use [1] to get value of x

x + y = 30,000

x + 19,000 = 30,000

x = 30,000 - 19,000

x = 11,000