Which relation is a function?

In  quadratic equation  (-11)2 = 121, the solution is actually both x = 11 and x = -11.

What in mathematics is a quadratic equation?

x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.

In essence, each real number has both a positive and a negative square root.

Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.

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Answer:

term

Step-by-step explanation:

The dimensions of the garden are l=20 ft and w=15 ft.

Given, the rectangular garden is 5 ft longer than it's width.

The area of the garden is 300 ft.

dimensions of the garden are = ?

let the width be represented by x.

therefore, length = 5+x

area of the rectangle = l×w

substitute the values.

x(5+x) = 300

5x + x² = 300

x² + 5x - 300 = 0

x²+20x-15x-300 = 0

x(x+20)-15(x+20)=0

(x+20)-(x-15)=0

x=-20 or x=15

hence the dimension cannot be negative.

hence x=15.

substitute x=15 in l=x+5

l=15+5

l=20

Therefore, length and width of the rectangle garden are 20 ft and 15 ft, respectively.

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Answer:

1/1power4

Step-by-step explanation:

=one on one,and there will be a power four on top of the one.

The first term of the series such that the sum of the first three terms of the geometric series is 171 is equal to 81.

In this problem we find the sum of three consecutive elements of a geometric series. A geometric series is a set of elements generated by a discrete exponential expression of the form:

y = a · rⁿ ⁻ ¹

Where:

According to the statement, we find the following expression:

a · (2 / 3)² + a · (2 / 3)¹ + a · (2 / 3)⁰ = 171

(4 / 9) · a + (2 / 3) · a + a = 171

(19 / 9) · a = 171

a = 81

Then, the first term of the series is:

y = 81 · (2 / 3)¹ ⁻ ¹

y = 81

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nvm i left

Step-by-step explanation:

Option B picture shows the plan of the given 3D shape and Option I picture shows the side elevation of the given 3D shape.

Plan: When an object is viewed from the top, that section or part is called a plan view of that object.

Options C, G, F, and B- all are viewed from the top: however out of these four only Option B shows the real plan of this given 3D object while others change its dimension and shape.

Elevation: When an object is viewed from one side of the object, that section or part is called an elevation view.

Options D, E, A, and I- all are in elevation view, however, only option I is satisfying and shows the real elevation of a given 3D object.

Therefore, only option B and option I are showing the correct plan and elevation of a given image.

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The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

The equation for the proportional relationship is 16x-y=0 .

The equation of the line passing through the two points (a,b) and (c,d) is given by

(y-b) = m(x-a), where m is the slope .

In the question ,

Given in the graph that

x represents the number of cups of flour and y represents the number of cookies made .

From the graph we can see that

when 6 cups of flower is used , 96 cookies are made

So, the point on the line is (6,96),

when 12 cups of flower is used , 192 cookies are made

So, the point on the line is (12,192)

hence the line passes through the two points (6,96) and (12,192).

So the slope of the line is

m=(192-96)/(12-6)

m= 96/6

m=16

Substituting the values of a,b, c,d and m in the equation of line formula ,we get

y-96=16(x-6)

y-96 = 16x - 96

16x-y=96-96

16x-y=0

Therefore , The equation for the proportional relationship is 16x-y=0.

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The rule of signs in binomial factors given a trinomial in the form :

Note that b and c can be positive or negative.

And the factor may be :

First thing to do is to check the sign of c.

If it is positive, the signs of m and n can be both positive or both negative.

Since positive multiplied by positive is positive and

negative multiplied by negative is also positive.

If the sign of c is negative, one of the factors must be negative and the other must be positive, because negative multiplied by positive is negative.

After considering the sign of c, next to check is the sign of b.

Case 1 :

If b and c are both positive, we know that the factors can be both negative or both positive.

And since the sign of b is positive, we must follow the sign of it which is positive.

So both m and n are positive

For example :

The factor will be :

which are both positive.

Case 2 :

If b is negative and c is positive, we will follow the sign of b. m and n will be both negative.

For example :

The factors are :

which are both negative

Case 3 :

Now the third case is tricky.

If c is negative, we know that one of m and n is negative and the other one is positive.

The sign of the larger number between m and n will follow the sign of b.

For example :

c is negative, so one factor must be negative and the other must be positive. The sign of b is negative, so the larger factor must be negative also.

The factor will be :

3 is larger than 2, so the negative sign of b will proceed to the factor 3.

Answer:

5: 13

6: 7

7: 26

8: 18

9: x=11 , y=3

Step-by-step explanation:

5:

9x + 2 = 119

9x = 117

x = 13

6:

12x - 8 + 104 = 180

12x - 8 = 76

12x = 84

x = 7

7:

5x + 7 = 8x - 71

3x = 78

x = 26

8:

7x - 61 = 4x - 7

3x = 54

x = 18

9:

9x + 25 = 13x - 19

4x = 44

x = 11

13(11) - 19 + 17y - 5 = 180

143 - 24 + 17y = 180

119 + 17y = 180

17y = 61

y = 3

Answer:Irrational

Step-by-step explanation:The answer does not end and is infinite.

Answer:

it is irrational number

Step-by-step explanation:

it just is irrational number

The simplified form is 3/4( 2s-1).

The problem we dealing with here is related to factors of linear polynomial, where a linear polynomial is characterized as any polynomial expressed in the form of a condition of p(x) = ax + b, where a and b are real numbers and a ≠ 0. In a linear polynomial, the degree of the variable is rise to 1 i.e, the highest type of the variable is one, whereas a factor of polynomial P(x) is any polynomial that divides equitably into P(x). The factorization of a polynomial is its representation as a product of its variables.

The problem that is given to us is 6s-3/4 ,we just need to find common factor it to convert it into a simpler form.

We can see 3/4 is the common factor out here so it wil be

=3/4 (2s-1)

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Value of w will be [tex]\frac{45}{Q}[/tex] + 3

Division is the process of dividing a bunch of items into equal portions. It is one of the four fundamental operations in mathematics and results in a just distribution of resources. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "÷" or occasionally "/," is used in computer code.

Given Data

The nine less than the quotient of a number w and -3 is 54.

Let the quotient be Q

9 - Q( w - 3) = 54

Solving,

-Q(w  - 3) = 54 -9

w-3 = [tex]\frac{45}{Q}[/tex]

w = [tex]\frac{45}{Q}[/tex] + 3

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

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Answer: I would use the max as 25

Step-by-step explanation: You use the variables of y, for the numbers os the maximum. so i would be high

Answer: [tex]Y=X-1[/tex]

Step-by-step explanation:

The standard linear equation for the table is expressed as y = mx + b with

m as the slope of the line and b as the y-intercept.

We will use coordinates (2,1) and (3,2) from the table to calculate the slope, m.

[tex]\begin{equation}\begin{aligned}m &=\frac{Y 2-Y 1}{X 2-X 1} \\m &=\frac{2-1}{3-2} \\m &=\frac{1}{1} \\m &=1\end{aligned}\end{equation}[/tex]

We can find the formula using the point-slope formula.

[tex](Y -Y 1)=\ m (X -X1)\\Y-1=1(X-2)\\Y-1=X-2\\Y=X-1[/tex]

Answer:

In slope intercept form -5y = -4 - 30

Step-by-step explanation:

Slope intercept form is y=mx + b

Rewrite your equation in this form

-10y = -8x - 60

Find GCF (Greatest Common Factor) in this case it is 2

Divide all by 2

-5y = -4x - 30

divide both sides by -5

y = 4/5x + 6

slope = 4/5

Answer:

8

Step-by-step explanation:

so we know the formula of a line  is y=mx+b

1. arrange 8x+10y=60 into y=mx+b format

2. 10y=8x+6

3. we see that 8 = m

4. parallel line NEVER intersect so therefore they have the same slope (whereas perpendicular lines intersect so the slope for a perpendicular line would be -1/8)

The value of x is 7.82

Following these procedures will help us use proportions to solve challenges in the real world:

1. Set up two ratios comparing the identical quantities using the information from the problem.

2. Create a proportion by setting the ratios equal.

3. To find the proportional unknown, use cross multiplication.

[tex]AB/ AD = TS/ UT[/tex]

[tex]7/ 14.8= 3.7/ x[/tex]

On cross multiplying we get

7x= 54.76

x= 7.822

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The slope of the line passing through  (4,7) and (7, 16) is 3

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run". It is denoted by "m".

Formula, m = rise / run = (y2 - y1) / (x2 - x1)

Given,

(x1, y1) = (4, 7)

(x2, y2) = (7, 16)

Now, put these values in slope (m) formula,

m = (y2 - y1) / (x2 - x1)

   = (16 -7) / (7 - 4)

   = 9/3

   = 3

Therefore, the slope of the line passing through  (4,7) and (7, 16) is 3.

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Given:-

To find the simplified form and the mistake.

So now we use the formula,

So now we substitute the value. so we get,

So now we get,

So the value of x is,

So the mistake is in step 5.

Given,

1 inch = 2.5 feet

∴ Area of garden = ( 5 x 2.5)  x  ( 1.5 x 2.5)  feet

Since, 80% area will be used as path with  crashed rock,

therefore, 12.5 x (1.5 x 2.5)/ 100 x 100 x 10 feet

= 37.5 sq. feet

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The given expression 1500 x 830 + 321 can be solved as 12,45,321 using arithmetic operations.

Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.

Addition is the process of combining two or more items (or numbers) to create a new sum.

Given the expression: 1500 x 830 + 321

Using BODMAS, first we do the multiplication.

So, 1500x 830 = 12,45,000

Now, continuing with the addition, we get

12,45,000 + 321 = 12,45,321

Therefore, the given expression can be solved as 12,45,321.

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"The given question is:

Calculate 1500 x 830 + 321"

ok so at first if u have fractions like the first follow my instruction:

1st: u have 2/3---1/2, u will multiply 3 by 1 and 2 by 2 so u will get 6 and 4

but remember that 2/3 and 1/2 u cris cross it the left one comes first like 6 then 4 so it could balance and do the rest of the fractions like that.

2nd: if u have decimal u will check the number after the decimal but if the are the same u will compare the numbers before the decimal.

I hope it's usefull

Answer: y = 7

Step-by-step explanation: 3^2 is 9 and 9 - 2 is 7.

If a man's taxable income is $35200 and he pays income tax rate of 25%, the amount of income tax payable is $8800

The man's taxable income = $35200

The income tax rate = 25%

The percentage is the hundredth part of any number.

The amount of income tax payable = The man's taxable income ×(The income tax rate/100)

Substitute the values in the equation

The amount of income tax payable = 35200×(25/100)

= 35200×0.25

= $8800

Hence, if a man's taxable income is $35200 and he pays income tax at the rate of 25%, the amount of income tax payable is $8800

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Answer: a

Step-by-step explanation:

We know that [tex]a^2 +b^2 =c^2[/tex]. The left hand side is the same as the sum of the areas of the two green squares, and the right hand side is the same as the area of the one large green square.

Answer: A

Step-by-step explanation:

[tex]\pi > 3 \implies 5\pi > 15[/tex]

Answer:

-1

Step-by-step explanation:

All of them have the same denominator so we can take the denominator out

2-4-3 = -1 m

Answer:

Step-by-step explanation:

5 3/12

0.25

-5 18/40