A student is running for president of student government. Her friend has designed a campaign poster that measures 27 feet by 14 feet. She duplicated the poster on a
rectangular button measuring 6 inches by 3 1/9 inches. What is the scale factor?

The solution to the inequality |2x - 3| > 5 is: x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

Given that we need to find the solution to the inequality |2x – 3| > 5

To solve the inequality |2x - 3| > 5, we can break it down into two cases:

Case 1: 2x - 3 > 5

In this case, we have:

2x - 3 > 5

2x > 5 + 3

2x > 8

x > 4

Case 2: -(2x - 3) > 5

In this case, we have:

-(2x - 3) > 5

-2x + 3 > 5

-2x > 5 - 3

-2x > 2

x < -1 (remember to reverse the inequality when multiplying or dividing by a negative number)

Combining the solutions from both cases, we find that the solution to the inequality |2x - 3| > 5 is:

x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

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Answer:

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

Step-by-step explanation:

not even 30 points lol it says 18 ANYWAYS hope this helps

Answer:X squared =4/9 is c

              X to the third power is a

               X squared =81/46 is b or d

               X to the third power is d or b

Answer: 11/16

Step-by-step explanation:

1/8=2/16

1/4=4/16

5/16=5/16

add it all together

The equation of the inverse function is f'1(x) = x^2 + 6 and the domain is all set of real numbers

The function f(x) is given as

f(x) = √x -6

Rewrite as

y = √x -6

Switch/swap the positions of x and y in the above equation

The equation becomes

x = √y -6

Make y the subject of the formula in the above equation

The equation becomes

y - 6 = x^2

Add 6 to both sides

y = x^2 + 6

Rewrite as an inverse function

f'1(x) = x^2 + 6

Hence, the inverse function is f'1(x) = x^2 + 6

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Answer:

f(×)=(×+6)^2;×>-6 there we go..

Answer:

C=38.48+0.5x

about 143 miles

Step-by-step explanation:

$38.48 base cost plus $.50 per mile, so after x miles, it would be 0.5x

so C=38.48+0.5x

to find how many miles Paul can travel

we set 110=38.48+0.5x

then solve

x=143.04

so Paul can travel about 143 miles

The equation of line in slope intercept form can be written as y = mx + c where m is the slope of line and c is the y intercept.

We are given three equations namely y = 2x -2, y = -x + 1 and y = x - 4 and we need to determine the description of equation, slope and y intercept. The equation y = 2x - 2 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 2 and c = -2. Thus, slope is 2 and y intercept is -2. The equation y = -x +1 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = -1 and c = 1. Thus, slope is -1 and y intercept is 1. This equation y = x - 4is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 1 and c = -4. Thus, slope is 1 and y intercept is -4. The graphs of the equation are attached below.

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After Applying Laws of Exponents we can write as [tex](6yz)^{-4}[/tex]

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

[tex]a^{n}[/tex] .[tex]b^{n}[/tex] =[tex](a.b)^{n}[/tex]

=[tex]3y^{-4}[/tex] . [tex]2z^{-4}[/tex]

=[tex]3y^{-4}[/tex] . [tex]2z^{-4}[/tex]

= [tex](6yz)^{-4}[/tex]

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Answer:

Michael age is 13 and keanus age is 39

Step-by-step explanation:

Michael is 1/3 of keanus age

so Michael is 1 and keanus is 3 so if u add them all up it's 4 so 52 divide by 4 it's 13 so Michael is 13 and if you times three it will be 39, and if u add their age together it adds up to 52 so it's 13

The amount in the savings account of Mrs. Martins after 9 years will be $4081.

According to the question,

We have the following details:

The amount deposited in the savings account or the principal amount = $2,650

Interest per year = 6%

Time = 9 years

(It is given that the interest is not compounded.)

Now, using the formula of simple interest, we will first find the total interest after 9 years,

Simple Interest (S.I.) = (Principal * Rate * Time)/100

S.I. = (2650*6*9)/100

S.I. = (2650*54)/100

S.I. = 143100/100

S..I. = $ 1,431

Now, the total amount in the savings account would be the sum of the principal amount and the total interest.

So, we have:

Total amount = Principal + S.I.

Total amount = $ (2,650+1,431)

Total amount = $ 4,081

Hence, the total amount in Mrs. Martins's savings account is $ 4,081.

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70 people can get share from the chocolate.

Real estate investment trusts, limited partnerships, and mutual funds all employ shares as a sort of unit. A share is an immovable unit of capital that symbolizes the ownership connection between the company and the shareholder. The denominated value of a share is its face value, which could not be the same as the share's market value.

The capital of a firm consists of the whole face value of its issued shares.

Total amount of chocolate purchased = 10 kg

Amount of chocolate each friend want =1/7 kg

So, number of people who can get share = 10 / (1/7)

                                                                     = (10×7)/1

                                                                     = 70 people

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Answer:

x= 2/3 or x= −4

Explanation:
3x2+16x−10=6x−2

Step 1: Subtract 6x-2 from both sides.

3x2+16x−10−(6x−2)=6x−2−(6x−2)

3x2+10x−8=0

Step 2: Factor left side of equation.

(3x−2)(x+4)=0

Step 3: Set factors equal to 0.

3x−2=0 or x+4=0

x=2/3 or x= −4

Both of the blanks given in the table can be filled in by the ratio 18/1.

Here, we are given a table as shown in the image given above.

There is a proportional relationship given between Demi's test scores and her studying time.

When she studies for 3 hours, her test score is 54.

Thus, the ratio of her test score to hours studying is - 54/3

= 18/1

Similarly, when she studies for 4 hours, her test score is 72.

Thus, the ratio of her test score to hours studying is - 72/4

= 18/1

Thus, both of the blanks given in the table can be filled in by the ratio 18/1.

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Answer:

Step-by-step explanation:

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the

square?

find the area with the formula ½ × d ^ 2 Square units, take the square root of the result and find the side, multiply by 4 and you have the perimeter.

1/2 11.3^2 =

1/2 127,69 =

63.845 m²

√63.845 =

7.99 m

7.99 * 4 =

31.96 m

Answer:

Multiply 5/2 to both sides

Step-by-step explanation:

Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.

The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

In this question, we have been given an inequality  2(4x + 1) < 3(2x - 3)

We need to solve given inequality.

2(4x + 1) < 3(2x - 3)                          ..............(Given inequality)

8x + 2 < 6x - 9               .............(simplify both sides of the inequality)

8x + 2 - 6x < 6x - 9 - 6x             ............(subtract 6x from both the sides)

2x + 2 < -9

2x + 2 - 2 < -9 - 2                       ............(subtract 2 from each side)

2x < -11

2x/2 < -11/2                               ................(Divide each side by 2)

x < -11/2

Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

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the equation of the line will be x + y = 0 and it is being graphed.

Point on the line = (1, -1)

Slope of the perpendicular line = 1

So, the slope of the line will be

m × 1 = - 1

m = - 1

Equation of the line will be given by:

y - y₁ = m (x - x₁)

y - (- 1) = (- 1) (x - 1)

y + 1 = - x + 1

x + y = 0

We have graphed the equation.

Therefore, we get that, the equation of the line will be x + y = 0 and it is being graphed.

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After evaluating the algebraic expression we can infer that both students were correct.

An algebraic expression in mathematics is one that was produced utilizing integer variables, constants, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

On the other hand, transcendental numbers, such and e, are not algebraic because they are not generated from integer constants and algebraic operations. While the definition of e necessitates an infinite number of algebraic operations, the creation of is frequently done as a geometric expression .

If an expression can be converted into a rational fraction using the characteristics of the arithmetic operations, it is said to be rational expression (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).

The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

Again the expression 2a +3 is a sum with only two terms.

Hence both students were correct.

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After evaluating the algebraic expression we can infer that both students were correct.

An algebraic expression in mathematics is one that was produced utilizing integer variables, constants, and algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

On the other hand, transcendental numbers, such and e, are not algebraic because they are not generated from integer constants and algebraic operations. While the definition of e necessitates an infinite number of algebraic operations, the creation of is frequently done as a geometric expression .

If an expression can be converted into a rational fraction using the characteristics of the arithmetic operations, it is said to be rational expression (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).

The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

Again the expression 2a +3 is a sum with only two terms.

Hence both students were correct.

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Answer:

3x+1y=0

Step-by-step explanation:

the equation of a straight line on a graph is y= mx+c
where m is the gradient and c is the y intercept.

we know that the line passes through (1,-3) and has a gradient of 3, therefore we can substitute these values into the equation.

-3 = 3*1 +c
3 = 3+c
c = 3-3 = 0
therefore the equation of this line is y = 3x+0

now we have to write this in the form ax+by=c

3x+1y=0

Answer: 9 inches

Step-by-step explanation:

       We know that the area of a square can be solved with the following formula when s is the length of one side. We will plug in our known values and solve:

        a = s²

        (81) = s²

        [tex]\sqrt{81}[/tex] = s

        9 in = s

       One side of the rug is equal to 9 inches.

Answer: 84

Step-by-step explanation:

Bhamini =

42 x 6 = 25.2

25.2 x 1/3 = 84

Chas =

252.84 - 42 = 126

Bhamini gets £84!

Hope this answered your question, don't ell Mr Gohil I helped you lol.

Answer provided by Zack.

Answer:

y=5x-13

Step-by-step explanation:

1. (3,2) = x,y

2. substitute each x and y digit into y=mx+b format

3. 2=5(3)+b

4. solve for 2=5(3)+b which equals b=-13

5. ANSWER IS SOLVED WHEN ANSWERED IN y=mx+b FORMAT

5. y=5x-13

The given function f(x) =3x² - 48/2x+8 has no Horizontal asymptote.

A horizontal asymptote may be defined as a horizontal line at which the graph of the function will appear to meet but will not actually meet. It is a tool to determine the end behavior of the function. We are given the function f(x) = 3x² - 48/2x+8. Now to find horizontal asymptote of this function we first find lim ₓ→∞ f(x) that is

lim ₓ→∞ (3x² - 48)/(2x + 8)

lim ₓ→∞ 3/2(x - 4) = ∞

Now, we calculate lim ₓ→-∞ f(x) that is

lim ₓ→-∞ (3x² - 48)/(2x + 8)

lim ₓ→-∞ 3/2(x - 4) = -∞

Since, both the limits are different therefore function does not have any horizontal asymptote.

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The domain and the range of the graph are x >= 1 and -∝ < y < ∝, respectively

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The domain

On the graph of the function, we can see that:

The x values start from 1 and it extends indefinitely to the right

This means that the domain is x >= 1

The range

On the graph of the function, we can see that:

The y values extend indefinitely on all sides of the coordinate plane

This means that the range is -∝ < y < ∝

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The carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

In this question, we have been given a carpenter has a 15 foot ladder. For safety, the bottom of his ladder must be placed 5 feet from the wall.

Consider the following diagram.

In right triangle ABC, AC represents the length of the ladder, CB is the distance between wall and the bottom of the ladder.

Using Pythagoras theorem,

AC² = AB² + BC²

15² = 5² + AB²

225 - 25 = AB²

AB = √200

AB = 14.1 ft                  ............(1)

We have been given that in order to complete his work, the ladder must reach 14.5 feet up the wall.

From (1), we can see that the ladder will reach 14.1 ft up the wall.

This means, under these conditions, the carpenter will not be able to complete his work.

Therefore, the carpenter will not be able to complete his work because the ladder reach 14.1 ft up the wall.

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Margie can make 13 bows with her ribbon.

In the US, a foot is used to measure length or distance. "Feet" is the plural form of the single unit of measurement known as "foot." Foot or feet are denoted by the letter ft.

Margie has 15 feet of ribbon.

To make a bow for a bouquet, it takes 7/8 of a foot of ribbon for a bouquet.

1 bow = 7/8 × 1 foot

Therefore, the number of bows Margie can make with the ribbon will be:

Number of bows = 7/8 × 15 feet

Number of bows = 13.125 ≈ 13

Hence, Margie can make 13 bows with her ribbon.

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5x + 10 is the simplified form of the expression 2( 3x + 4 ) - ( x - 2 ).

Given the expression in question;

2( 3x + 4 ) - ( x - 2 )

To expand and simplify, get rid of the first parenthesis using distributive property.

2( 3x + 4 ) - ( x - 2 )

3x( 2 ) + 4 ( 2 ) - ( x - 2 )

6x + 8 - ( x - 2 )

For the second parenthesis, the negative sign before it affects everything inside it, hence;

6x + 8 - ( x ) - ( - 2 )

6x + 8 - x + 2

Collect like terms

6x - x + 8 + 2

Add 6x and -x

5x + 8 + 2

Add 8 and 2

5x + 10

Therefore, the simplified form of the expression is 5x + 10.

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