Which of the following notations correctly describe the end behavior of the polynomial graph below?

Question:

The local furniture store pays $ 60 for a sofa and sells it with a 30% markup. What is the selling price of the sofa?.

Solution:

Let the following data:

Base price = $60

30% of base price = $60 x 0.3 = $18

Then:

Selling price = $60 + $18 = $78.

Then, we can conclude that the correct answer is:

The selling price of the sofa is $78.

Answer:

Step-by-step explanation:

b/c we can fairly say,  that the parallelgram is also a rectangle of size 24 x 11, we can just solve that area

24*11= 264

We can see, this is a parallelogram.

The formula to calculate the area of a parallelogram is b x h, where b is base and h is height.

Given that base = 24 in, height = 11 in, we can calculate the area as : 24 x 11 = 264 in2.

The domain refers to all the values of x (inputs) for the function

The range refers to all the values of y (outputs) for the function

We have the domain & range thus:

Check the picture below.

Answer:

6i^2-12i

Step-by-step explanation:

3i×2i =6i^2

3i×4 =12i

For the given equation the value of x is, x = 12.

What is solving an equation?

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution.

Consider, the given equation[tex]\frac{2}{3}x - 1=9-\frac{1}{6}x[/tex]

Add 1 on both sides,

[tex]\frac{2}{3}x -1+1 = 9-\frac{1}{6}x+1\\ \frac{2}{3}x=10-\frac{1}{6}x[/tex]

Add 1/6(x) to both sides,

[tex]\frac{2}{3}x + \frac{1}{6}x = 10 - \frac{1}{6}x+\frac{1}{6}x\\ \frac{5}{6}x = 10[/tex]

Multiply both sides by 6/5

[tex]\frac{5}{6}x (\frac{6}{5}) = 10(\frac{6}{5}) \\ x = 12[/tex]

Hence, the value of x is, x = 12.

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Answer:

Bot 4

Step-by-step explanation:

Here is one way

rate of bot 3    36 /5         in ten seconds    36/5 *10 = 72 clks

rate of bot4     26/3          in ten seconds    26/3 * 10 = ~ 87 clks

The size of angle x is 34.84°

What is right angled triangle ?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

To find the value of x we will use the trigonometric formula

sin x = [tex]\frac{opposite}{hypotenuse}[/tex]

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex]

tan x = [tex]\frac{opposite}{adjacent}[/tex]

cosec x = [tex]\frac{1}{sin x}[/tex]

sec x = [tex]\frac{1}{cos x}[/tex]

cot x = [tex]\frac{1}{tan x}[/tex]

As we know the value

hypotenuse = 14cm

opposite side = 8cm

∴ sin x = [tex]\frac{8}{14}[/tex]

           = [tex]\frac{4}{7}[/tex]

       x  = 34.84°

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Answer:

angle x =34.8°

Step-by-step explanation:

sinX=opposite/hypotenuse this means  sin(θ) is the ratio of the opposite side to the hypotenuse

so, to solve this problem we have to find the value of sin X then we can get the value of X.

Let sin X = 8/14

               =0.571

SO, X =sin-1(0.571) =34.8°

Answer:

The answer is B

From what I explained in the session before, the x value must be between 10 and 15, so only 2 options are viable, 14 and 12. Let's evaluate each of them

So, 12 is not the answer. Let's evaluate 14

So, x = 14 is the correct answer

Answer:

140

Step-by-step explanation:

triangles equal to 180

64+76+x=180

x=40

180-40=140

Answer:

140°

Step-by-step explanation:

We know that,

  the exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle.

Accordingly,

k = 64 + 76

k = 140°

Answer: D

Step-by-step explanation:

248 = 28x + 20y

x = 3y - 6

x = 28

y = 20

Answer:

f(x)=x2 f ( x ) = x 2

Step-by-step explanation:

The mean of a data set can be greater than any of the data sets is True.

The average is basically a model of the dataset. The most frequently occurring value. However, the mean value is often not one of the actual values observed in the dataset. The median can be larger or smaller than the mean of the distribution. So the given statement is wrong.

The mean is affected by outliers that do not influence the mean. Therefore, when the average distribution of data is skewed to the left, the mean is often less than the median. When the distribution is skewed to the right, the mean is often greater than the median. No matter what value we add to the set, the mean, median, and mode will shift by that amount but the range and the IQR will remain the same. The same will be true if we subtract an amount from every data point in the set.

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The equation of the line that passes through the points (5,2) and (1,4) is given by  [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

Let the points  [tex](5,2) = (x_{1} , y_{1} )[/tex] and [tex](1,4) = (x_{2} , y_{2} ).[/tex]

The two-point form of the equation of a line is given by,

[tex]y-y_{1} =\frac{y_{2} -y_{1} }{x_{2}- x_{1} } (x-x_{1} )[/tex]

Substituting the values of [tex]x_{1} , x_{2}, y_{1}[/tex] and [tex]y_{2}[/tex] in the above equation, we get,

[tex]y-2=\frac{4-2 }{1-5 } (x-5 )\\\\ y-2 = \frac{2 }{-4 } (x-5 )\\\\ y-2=-\frac{1}{2} (x-5)\\ \\y-2=-\frac{x}{2} +\frac{5}{2} \\ \\y=-\frac{x}{2} +\frac{5}{2} +2\\ \\y=-\frac{x}{2} +\frac{9}{2}[/tex]

Thus the equation of the line is [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

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[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.[/tex]

answer is option 2 : (1, 5) because:

when x = 1 , y should = 5:

[tex]\left \{ {{y=5x} \atop {y=4x+1}} \right.\\\\\left \{ {{y=5(1)} \atop {y=4(1)+1}} \right.\\\\\left \{ {{y=5} \atop {y=5}} \right.[/tex]

Answer:

see explanation

Step-by-step explanation:

A base angle

B leg

C vertex angle

D leg

E base angle

F base

in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.

the base angles are opposite the congruent legs

the remaining side, the base is the 3rd side of the triangle

the vertex angle is formed by the 2 congruent legs

16.01 is the greatest number.

Numbers:

In everyday life, we use numbers. They are frequently known as numbers. We are unable to count things, dates, hours, money, etc. without numbers. These numerals are utilised for labelling and measurement purposes at various periods. The characteristics of numbers enable them to be used in arithmetic operations. Both verbal and quantitative representations are used to express these numbers.

Math teaches us about the various kinds of numbers there are. The types of numbers include natural and whole numbers, odd and even, rational and irrational, etc. In addition to this, the numbers are employed in numerous other contexts, including the creation of number series and arithmetic tables.

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the mode is 5 i don't understand what the the other part is

By making use of Set Theory, we calculate that a total of 38 students are enrolled in either physics or algebra.

Number of students taking algebra n(A)= 29

Number of students taking physics n(B)= 14

Number of students taking both subjects n(A∩B)= 5

So, the number of students taking either physics or algebra will be the union of sets i.e. n(A∪B)

The union of two sets is a set containing all elements that are in A or in B (possibly both).

As we know,

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 29 + 14 - 5

n(A∪B) = 38

Therefore, A total of 38 students are enrolled in either physics or algebra.

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Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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yes of course it can surely be

Answer:

Yes, you can factor out common factors to write equivalent algebraic expressions.

[from edge's summary video script]

Answer:

length:12m width: 6m

Step-by-step explanation:

w=l-6, lw=72. l*l-6=72, l^2-6l=72. l^2-6l-72=0, l=12 or -6, length cant be negative. L=12. W=L-6, w=6.

Solution:

Since the sample size is fixed;

And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;

Thus;

ANSWER: 0.32

Explanation:

Associative properties for multiplication is stated as follows:

(a * b) * c =

The statement represents the commutative property of Multiplication.

Commutative is derived from "commute," which means to move about or travel. The commutative property of multiplication states that the result is unaffected by the order in which the numbers are multiplied.

According to the commutative property, the result of addition or multiplication remains the same regardless of the sequence in which the numbers are added or multiplied. It should be noted that the commutative feature only applies to addition and multiplication, not to division or subtraction. As an illustration, the sum of 6 + 7 and 7 + 6 equals 13. Like 6 x 7 = 42, so does 7 x 6.

A statement is given as follows:

[tex]2\left(-\frac{3}{9}\right)=\left(-\frac{3}{9}\right) 2[/tex]

Observe that terms are exchanged on the left side and right side of the given equation.

It stands on the definition of the commutative property of Multiplication.

So, the statement represents the commutative property of Multiplication.

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Using substitution method of simultaneous linear equation the results are x = -1 and y = 3

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

Substitution method of simultaneous linear equation is used

y = -2x + 1

-9x - 2y =3

Putting the value of y in the second equation

-9x - 2(-2x + 1) = 3

-9x +4x -2 = 3

-5x = 3 + 2

-5x = 5

[tex]x = -\frac{5}{5}\\x = -1[/tex]

Putting the value of x in the first equation,

[tex]y = -2 \times -1+1\\y = 3[/tex]

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Answer:

Step-by-step explanation:

This is decay, the rate of change is 49%

hope this helps!

The correct rate of change is B)49% decay.

What constant rate of change ?

    A rate of change is constant when, at any given point along the function, the ratio of the output to the input remains constant. The slope is another name for the rate of change that is constant. A linear function's rate of change will be constant.

Here the given function is ,

=> h(x)=38(0.51)x.

For any exponential function in which the base is less than 1, it will be an exponential decay situation.

In this problem, the base is 0.51.

Then,The amount that the base is less than 1  ( i.e. 1 - base) . It represents the rate of change in decimal ,

=> 1-0.51 = 0.49

Converting into percentage => 0.49 *100 = 49%

Therefore the correct option is B) 49% decay.

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Answer:

what's that bottom number???

Answer:

Answer: 54

Step-by-step explanation:

3x2=6 6x9=54

Step 1:

3x2=6

Step 2:

get the 6 from last step and multiply it by 9

6x9=54 √

Answer:

225

Step-by-step explanation: