What equation is graphed in this figure?

y−4=−1/3(x+2)

y−3=1/3(x+1)


y+2=−3(x−1)


y−5=3(x−1)

Answer:

Step-by-step explanation:

Thevalueof theAC segmentknown asthe AB and BC segmentsis:

AC = 12x + 2y + 18

What is a segment?

It is the distance or vector obtained from the sum of the differences of the coordinates of the ends of that segment.

AB = B - A

What are mathematical operations?

They are those such as addition, subtraction, multiplication and division, being the most basic and also have the roots, exponents, among others ...

Thesumis addition to one number to another.

Subtraction is subtractingone number from another.

Multiplicationis adding the same number as many times as the multiplier indicates.

Divisionis the decomposition or separation of one number from another.

What is the value of AC?

Assume that AC is the length of the segment containing AB and BC.

AC = AB + BC

Being;

AB= 8x + 2y

BC = 4x + 18

Replace

AC = 8x +2y + 4x + 18

AC = 12x + 2y + 18

Answer:

Step-by-step explanation:

a. The numerical expression representing the changes in Yu Yan's account is x = 25 + 32.75.

b. After evaluating expression (a), we see that $57.75 is the total amount changed from her account.

What is a numerical expression?

In mathematics, a numerical expression is a combination of sets of numbers and integer combined using addition, subtraction, multiplication, or division. When used with mathematical operators like addition, subtraction, multiplication, or division, it is said that a numerical expression is a combination of different integer numbers. The following are a few typical examples of numerical expressions: 5 + 10150 - 2520 × 2 + 5 40 ÷ 10 × 2 - 8 + 1 75 + 6 - 8.

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Answer:

y=2·6^2

Step-by-step explanation:

Use formula y=a[tex]b^x[/tex], plug in two different points.

72=ab^2

12=ab^1

isolate one so that a is on one side

a=[tex]\frac{12}{b}[/tex]

plug in a into the other equation

72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]

72=[tex]\frac{12b^2}{b}[/tex]

72=12b

b=6

complete solving for a now

a=2

now put it back into [tex]y=ab^x[/tex]

y=2·6^2

Answer:

------------------------------

Find the total cost to produce 3575 chairs. It includes the fixed costs as well as the variable cost per chair.

Add the profit we want to have

This is the minimum amount to be made from sale.

Find minimum sales price per chair:

This is matching the first answer choice.

The x-intercept of the equation is 13 and its interpretation in the context of the problem is the number of time in hours for which Lily left her house.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

Next, we would determine the number of time for which Lily has left her house since in the morning by substituting the value of B with zero (0) as follows:

B = -4t + 52

0 = -4t + 52

4t = 52

Time, t = 52/4

Time, t = 13 hours.

Therefore, the x-intercept of the given equation is (0, 13).

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Answer: sure:)

Step-by-step explanation:

Answer:I am not fully going to do it for you, but here is the best way i can explain, it if not i am sorry.

Step-by-step explanation: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%: ( $75 – $50) / $50 = . 50 x 100 = 50%.

Using a proportional relationship, it is found that:

a) The equation is: y = 63/x.

b) When x = 21, the numeric value is of y = 3.

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.

When the two variables are inversely proportional, we have a inverse proportional relationship, in which the output variable y is obtained by the division of k by the input variable x, as follows:

y = k/x.

For this function, when y = 7, x = 9, hence the constant is obtained as follows:

7 = k/9

k = 9 x 7

k = 63.

Hence the equation is:

y = 63/x.

The numeric value of the function when x = 21 is given as follows:

y = 63/21 = 3.

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Answer:

c = -5

Step-by-step explanation:

6c + 14 = -5c + 4 + 9c

1) We want to first combine the c values on the right side. This would give us 6c + 14 = 4c + 4.

2) Next, we want to move the c value to one side of the equation. This means we would subtract 4c from the right side. This gives us 2c + 14 = 4.

3) We can then subtract 14 from the left side to isolate the c value. This gives us 2c = -10.

3) We can then divide both sides by 2 and get the answer for c.

This gives us c = -5.

7.82 % is probability that all reservation holders who show will be accommodated.

What is probability in math?

If 236 are booked.

and there is only room of 213.

if 214 or 215 or 216 ............  etc

all the way to 236

there won't be enough seats.

P( X = 214 ) = ²³⁶C₂₁₄ * ( 0.9005 ) ²¹⁴   * ( 0.995 )²²

P( X = 214 ) = 0.08439109

                   = 8.44 %

P( X = 215 ) =  ²³⁶C₂₁₅ *  ( 0.9005 ) ²¹⁵   * ( 0.995 )²¹

                    = 0.0781522

                     = 7.82 %

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Answer:

Length would be 6ft

Width would be 4ft

Step-by-step explanation:

24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.

The sum X to the power of two plus X to the power of three be written in simpler form is X² + X³.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, this will be illustrated as X² + X³. In this case, it illustrate the addition of exponents.

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We will need 100 more samples to make the margin error of 0.3 .

acc to our question-

Hence, We will need 100 more samples to make the margin error of 0.3 .

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The cost of a pizza with an 11 inch radius is  $26.86

In this question, the cost of a pizza varies directly as the square of its radius.

Let C be the cost of pizza and r be the radius of Pizza.

We have been given the direct proportionality between the cost of pizza and the radius of Pizza.

C ∝ r²

If a pizza with a 6 inch radius costs $8.00

8 = k * 6^2

where k is the proportionality constant.

8 = k * 36

k = 0.222

We need to find the cost of pizza with an 11 inch radius.

so, we get an equation,

C = k * 11^2

substitute above value of k

C = 0.222 * 11^2

C = 0.222 * 121

C = $26.86

Therefore, the cost of a pizza with an 11 inch radius is  $26.86

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By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.

Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.

P(E) = F(E)/T (E)P(E)

It stands for the probability that an event will occur.

F(E) = Amount of favorable occurrences

Total number of trials (T(E))

Given that Charlie has 2 fair coins.

If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.

So to see both sides of both the coins he should toss the coin four times.

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Main Answer:

The constant term of h(x) is 4x^3 - 16x^2 - 75x - 63\

Supportive Question and Answer:

What is an Algebraic Expression?

An expression that includes variables, constants, and algebraic operations is an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions.

Solution Explained:
Given,
h(x) = f(x).g(x)

h(x) = (x-7)(2x+3)^2

now, simplify,

(x-7)(2x +3)                                                    Expand the expression
           

(x-7)((2x)^2+2 X 2x X 3+3^2)                        Simplify the expression

(x-7)(2^2 X x^2 +2 X 2x X 3+3^2)                Calculate

(x-7)(4x^2+2 X 2x X 3 + 9)                            Mutiply

(x-7)(4x^2 + 12x + 9)                                       Expand the expression

x X 4x^2 + x X 12x + x X 9 - 7 X 4x^2 - 7 X 12x -7 X 9       Mutiply

4x^3 + 12x^2 + 9x - 28x^2 84x - 7 X 9           Calculate

4x^3 + 12x^2 + 9x - 28x^2 - 84x - 63                    Combine like terms

Hence, the constant term for h(x) is 4x-16x-75x 63.

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Answer:

Step-by-step explanation:

:

The answer is 4x^{2}+12x-16. correct me if im not ty!

Answer:

4x^2 - 20x + 16

Step-by-step explanation:

4x^2 - 4x - 16x + 16

4x^2 - 20x + 16

There are 336 to select a set of 8 donuts from 3 varieties,  where the donuts of the same variety are indistinguishable.

here the total number of   8 donuts of a set needs to make from a given variety of 3, since here the orders so,  we need to use permutations.A permutation of a set is an arrangement of its individuals into a grouping or direct order, or in the event that the set is as of now ordered, a modification of its elements. It alludes to the act or preparation of changing the direct arrange of a requested set. Permutations vary from combinations, which are determinations of a few individuals of a set in any case of an order.

the formula for permutations is :

P(n,r) = n! /(n-r)! , here n i=8 and r = 3

P(8,3) =  8! /(8-3)!

          =  8* 7*6= 336

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Answer:

see explanation

Step-by-step explanation:

using the cofunction identities

cos x = sin(90 - x)

sin x = cos(90 - x)

then

cos76° = sin(90 - 76)° = sin14°

sin66° = cos(90 - 66)° = cos24°

sin53° = cos(90 - 53)° = cos37°

cos49° = sin(90 - 49)° = sin41°

The  Matched values are

cos(76) —> sin (14)

sin(66)—> cos (24)

sin(53)—> cos (37)

cos(49)—> sin (41)

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

For complementary angle,

a+ b= 90

So, sin (14)

= cos (90 - 76)

= cos 76

and, cos (37)

=sin (90 - 53)

= sin (53)

and, sin (49)

= cos (90- 41)

= cos 41

and, cos (66)

= sin (90 - 24)

= sin 24

Then, the Matched values are

cos(76) —> sin (14)

sin(66)—> cos (24)

sin(53)—> cos (37)

cos(49)—> sin (41)

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As a result of using all values in the data set to calculate an average, the mean is the most widely used measure of central tendency.

A measure of central tendency, also known as a measure of center or a measure of central placement, is a summary statistic that seeks to summarize an entire collection of data by using a single number that corresponds to the middle or center of the distribution.

You are probably most familiar with the central tendency measure known as the mean, which is the arithmetic average. It is fairly easy to determine the mean. Simply add up all the values then divide by the dataset's observation count.

The teacher can get a mathematical breakdown of how well the children are doing through measures of central tendency.

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When the sample size is smaller than 30, the following requirements must be met for the sampling distribution of the sample mean to be considered normal:

If these conditions are satisfied then the sampling distribution of the sample mean to be normal when sample size is less than 30.

A statistic's sampling distribution is a form of probability distribution produced by selecting several random samples of a predetermined size from the same population. You may better comprehend the variations in a sample statistic by using these distributions.

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The volume of a frustum is equal to 445.3785 cubic units.

Mathematically, the volume of a cone can be calculated by using this formula:

Volume of a cone = 1/3 × πr²h

Where:

For the volume of the large cone, we have the following:

Volume of large cone = 1/3 × πr²h

Volume of large cone = 1/3 × 3.142 × 6² × 12

Volume of large cone = 3.142 × 36 × 4

Volume of large cone = 452.448 cubic units.

Since the height of the small cone is quarter of the height of the large cone, we have:

Height of small cone = 1/4 × 12 = 3 units.

Radius of small cone = 12/18 = 3/2 = 1.5 units (similar triangles by AAA).

For the volume of the small cone, we have the following:

Volume of small cone = 1/3 × πr²h

Volume of small cone = 1/3 × 3.142 × 1.5² × 3

Volume of small cone = 3.142 × 2.25

Volume of small cone = 7.0695 cubic units.

Mathematically, we know that the volume of a frustum is made by subtracting the volume of a small cone from the volume of a similar large cone cone:

Volume of the frustum = Volume of large cone - Volume of small cone

Volume of the frustum = 452.448 - 7.0695

Volume of the frustum = 445.3785 cubic units.

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The required number of ounces of nuts would be 1/2 in each granola bar.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

She will use 12.5 ounces of walnuts to make 25 granola bars which is given in the question.

To determine the number of ounces of nuts in each granola bar

Let the number of ounces of nuts in each granola bar would be x

As per the given situation, we can write a ratio as

12.5 ounces : 25 bars = x ounces : 1 bars

⇒ 12.5 / 25 = x / 1

⇒ 1/2 = x

⇒ x = 1/2

Thus, the required number of ounces of nuts would be 1/2 in each granola bar.

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The area of the parallelogram shown is 6.6 square inches.

According to the question,

We have the following information:

We have a parallelogram with base 2.2 inches and height 3 inches.

We know that the following formula is used to find the area of parallelogram:

Area of parallelogram = Base*height

Area of parallelogram = 2.2*3

Area of parallelogram = 6.6 square inches

(Please note that area of any object or figure is always given in square units. For example, it may be square meters, square inches, square feet, etc.)

Hence, the area of the parallelogram shown is 6.6 square inches.

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Answer:

105 degrees

Step-by-step explanation:

Find angle F:

the sum of angles of triangle =180

62+43+y=180

105+y=180

y=75

straight line = 180 degrees

75+x=180

x=105 degrees

Answer: -893

Step-by-step explanation: -900 -(+16) = 884 +(-8) = -893

Answer:

-892

-900+16-2^3=-900+16-8=-900+8=-892

Answer:

162.006

Step-by-step explanation: