1/4(1-2/3)^2+1/3 Simplify

The graph of the equation y = |x| + 5 is given below.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given equation is y = |x| + 5.

Set the given values for x and find the corresponding values of y.

When x = -3, y = |-3| + 5 = 8

When x = -2, y = |-2| + 5 = 7

When x = -1, y = |-1| + 5 = 6

When x = 0, y = |0| + 5 = 5

When x = 1, y = |1| + 5 = 6

When x = 2, y = |2| + 5 = 7

When x = 3, y = |3| + 5 = 8

Graph of the equation is given below.

Hence the graph of the equation is found.

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

All real numbers

Step-by-step explanation:

The parabola is expanding infinitely in both the negative and positive directions. So the x value will be all real numbers.

Answer:

₹207

Step-by-step explanation:

1 by 4 of rupees 828

\( = \frac{1}{ \cancel4} \times \cancel{ 828 } \: \: \: \red{ \bold{207}}\\ \\ \)

Answer:

4

Step-by-step explanation:

Greenhouse: (-6,0)

Hospital: (-6,-4)

The first quantity (45g) as 60 percentage of second (75g).

A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.

To convert the given percentage value in decimal, divide the given value by 100.

For example:

1. 50% in decimal or fraction will be 50/100 = 0.5.

2. 20% in decimal or fraction will be 20/100 = 0.2.

1. Finding the total amount from which we need to find the percent.

2. Dividing the required amount to find the percentage by total amount.

3. Multiply it by 100.

For example:

1. It rained 10 of the 30 days in April.

Percentage will be 10/30 = (1/3) x 100

Percentage = 33.33%

Here, we have given that:

Total amount = 75g

Required amount for percent = 45g

Now, to find the percentage:

Percentage = 45/75

Percentage = 0.6 x 100

Percentage = 60%

Hence,

The first quantity (45g) as 60 percentage of second (75g).

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It asks for partial derivative, and you have to derive it with respect to 'y' variable.

\(f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2\)

Answer:

D 0.89275

Step-by-step explanation:

Answer:

34^23 (that is 34 to the 23 power)

Step-by-step explanation:

Do 3.4x10^23=34^23

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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The number which represents the situation of a withdrawal of $36 is -$36.

In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.

In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.

To represent a withdrawal of $36, we will use the negative sign.

Hence, -$36 is the correct representation of the situation of a withdrawal of $36.

Therefore, -$36 is the required answer.

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Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

The solution of given system of equations is (1/5, 6).

What is system of equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.

Given equations : 5x+y=7

                             20x+2=y

We can solve it by using substitution method:

Now, we have 5x+y=7

it can be written as,

         y = 7 - 5x .... equation 1

Similarly, we have 20x+2=y

can be written as,

           y = 20x+2 ..... equation 2

Subtracting equation 1 from equation 2

we get,  20x+2 - ( 7 - 5x ) = 0

             20x + 5x + 2 - 7 = 0

             25x = 5

               x = 1/5

Putting x=1/5 in equation 1,

we get, y = 20 × 1/5 + 2

               = 4 +2

               = 6

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Answer:

The length is 83 and the width is 57

Step-by-step explanation:

The width is 26 meters less than the length, so we'll represent the width with: L-26. Since there are 2 widths to account for, we'll multiply this by 2.

Equation looks like this so far: 2(L-26)

Then, add the 2 lengths and set the expression equal to 280.

Equation: 2(L-26)+2L=280

Distribute the 2 in the first term, making the equation look like:

2L-52+2L=280

Add the 52 to both sides of the equation

4L=332

Divide by 4 on both sides

L=332/4=83

L=83

Width is 26 meters less, so 83-26=57

W=57

\(\frac{3}{y}=18 \\ \\ 3=18y \\ \\ y=1/6 \\ \\ \implies y+2=\boxed{13/6}\)

Answer:

78°

Step-by-step explanation:

Since, angles A and B are complementary.

\(\therefore m\angle A + m\angle B = 90\degree \\

\therefore (3x+9)\degree + (x - 11)\degree = 90\degree \\

\therefore (3x +x +9-11)\degree = 90\degree \\

\therefore (4x - 2)\degree = 90\degree \\

\therefore 4x - 2 = 90\\

4x = 90+2\\

4x = 92\\ \\ x = \frac{92}{4} \\ \\ x = 23 \\ \\ \because m\angle A = (3x+9)\degree \\ \therefore \: m\angle A = (3 \times 23+9)\degree \\ \therefore \: m\angle A = (69+9)\degree \\ \huge \red{ \boxed{ \therefore \: m\angle A = 78\degree }}\)

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

Answer:

I think 200

Step-by-step explanation:

47600/238=200

200*238=47600

Answer:

the answer is actually 20000

Step-by-step explanation:

238%             x  =47,600

2.38x=47,600

47,600/2.38= 20000

9514 1404 393

Answer:

  A)  3x +10y = 36

Step-by-step explanation:

The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...

  x-intercept = 36/a

Then the coefficient 'a' is ...

  a = 36/(x-intercept) = 36/12 = 3

Only one answer choice has an x-coefficient of 3 -- the correct one.

  3x +10y = 36

Answer:

y = 2x + 6 and y + x = 51

Step-by-step explanation:

the first number is y

the second number is X

" 6 is more than" implying +

"6 is more than twice another" implying y = 6 + 2 multiples by the second number "X"

their sum is equal to 51

add first and the second number

that is

y+x = 51

so we have

y = 6+2x and y +x = 51

Answer:

x=1.4

Step-by-step explanation:

Write the equation

\(\frac{5.6}{x} =4\)

Multiply both sides by x

\(5.6=4x\)

Divide both sides by 4

\(1.4=x\)

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The value of x is 1.4 when z = 4.0 and y = 5.6.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given the equation as:

z = y/x

z = 4.0 and y = 5.6

To determine the value of x

⇒ z = y/x

Multiply by x on both sides

⇒ xz = y

Substitute the values z = 4.0 and y = 5.6

⇒ x(4) =(5.6)

Divide both sides by 4

⇒ x = (5.6)/(4)

⇒ x = 1.4

Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.

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The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Answer:

18

Step-by-step explanation:

you will use multiplication

3(packages of pencils)×6(pencils)=18pencils

so she will need 18 erasers for each pencil

Answer:

a) 1 solution

b) infinite solutions

c) 1 solution

Step-by-step explanation:

If you were to solve each of the problems:

a)

\(2x+6=7x+5\\2x-7x=5-6\\-5x=-1\\5x=1\\x=\frac{1}{5}\)

This equation only has one solution: 1/5.

b)

\(6v+8=8+6v\\6v-6v=8-8\\0=0\)

This equation has infinite solutions.

c)

\(10-e=e-10\\10+10=e+e\\20=2e\\e=10\)

This equation also only has 1 solution: 10.

Answer:

Angle x is 64 degrees. Angle y is 128.

Step-by-step explanation:

To find angle x:

In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.

To find angle y:

Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.

Answer:

1. 11/12 2. 3/20 3. 18/4 or 4 1/2

Step-by-step explanation:

When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

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Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

Answer:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Step-by-step explanation:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Answer:

a) the linear scale factor = 5/3

b) the volume scale factor = 125/27

c) 70.2 cm³

Step-by-step explanation:

r₁ = 15 cm, r₂ = 25 cm

r₂/r₁ = 25/15 = 5/3

They are similar, so h₂/h₁ = 5/3

a) the linear scale factor = 5/3

b) the volume scale factor = (5/3)³ = 125/27

c) V₂/V₁ = 125/27

Given V₂ = 325 cm³, V₁ = 325*27/125 = 70.2 cm³

The amount that would be in th IRA when he retires at age 65 is $21,932.15.

An annuity is a series of payment that is made over a period of time. In this question, the annuity is monthly which lasts for 47 years (65 - 18). An ordinary annuity is when the payments are made at the end of the period. An annuity due is when the payment is made at the beginning of the period.

The amount deposited increases by the amount you put in it every month and by the interest rate the account accrues. The account earns an APR, this means that interest would be compounded yearly.  

Total amount of deposits = amount deposited monthly x number of months in a year x number of years

$60 x 12 x 47 = 33,840

The formula that can be used to determine the future value of the account in 47 years is:

Monthly deposit x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$60 x [{(1.00583)^564 - 1} / 0.07] = $21,932.15

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