A college club has 20 members. Three of those members are officers of the club. What fraction of the members of the club are officers?

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax² + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable. Due to the fact that the Latin word quadratum, which means "square," and the fact that the area of a square with side length x is equal to x², a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation.

Given,

Equation

3x² = -2x+ 4

3x² + 2x - 4 = 0

Using quadratic formula,

x = -2 ± √2²- 4 × 3(-4)/ 2× 3

Simplifying:

x = -2 ± 2√13/6

Equations:

x = -2 + 2√13/6

x = -2 - 2√13/6

x = -1 + √13/3

x = -1 - √13/3

x = -1± √13/3

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

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Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

The average amount of time pupils spend moving from one classroom to the next is something a teacher wishes to estimate.

What is interval?

His research assistant reports the confidence interval with four decimal places and the "sample mean" with two decimal places using the sample time of 33 pupils. the sample mean duration applied to the confidence interval computation. the final result to the nearest whole number, and the confidence level if the sample standard deviation used for the interval is three decimal places. Confidence interval% level. His research assistant reports the confidence interval using a sample size of 41 pupils. His research assistant reports the confidence using a sample of 38 students. the sample mean duration applied to the confidence interval computation. 90 percentile of the population proportion's confidence interval.

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The inequality that best describes the value of the gift card is v ≥ 12

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

The inequality that best describes the value of the gift card is v ≥ 12

He can buy apps that are worth greater than or equal to $12

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The values are;

Length = 6 inches

Width = 14 inches

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The values are;

Length = 6 inches

Width = 14 inches

How to determine the values

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

P is the perimeter

l is the length

w is the width

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The value of the given expression is -6.93.

The question's expression is as follows:

minus 15 plus the amount negative 3 and 7 tenths + 9 and 15 hundredths at the end of the number divided by 5 times 3 squared less 4 and 7 tenths results in the answer.

Correctly reformat the expression

Thus, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Calculate the exponent and quotient.

Thus, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Consider the product

-15 - 3.7 + 16.47 - 4.7

Analyze the difference and the total.

-6.93

Consequently, -6.93 is the value of the supplied equation (none of the options is correct)

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Answer:

Step-by-step explanation:

sorry, i'm not a college student, so i don't know how to answer this.

The equivalent expressions are:

1. C. 1/15x - 14y

2. B. 2x - 4 - 10x + 15

3. The expression we can use are:

64 + 64(0.015)

4. The expressions that represent the sale price are:

0.7p

p - 0.3p

(1 - 0.3)p

If the simplest form of two expressions have the same value, then they are equivalent expressions.

1. Simplify 2/5x - 3y - 1/5x - 11y by combining like terms to determine the expression that is equivalent to it:

2/5x - 1/5x - 3y - 11y

1/15x - 14y

The answer is: C. 1/15x - 14y

2. Simplify 2(x - 2) - 5(2x - 3), by first opening the parentheses:

2x - 4 - 10x + 15

The equivalent expression is: B. 2x - 4 - 10x + 15

3. The percentage error allowed is 1.5% = 1.5/100 = 0.015.

Therefore, the expression we can use are:

64 + 64(0.015)

4. 30% is, 30/100 = 0.3.

Original price = p = $100.

0.3 of $100 = 0.3(100) = $30

Sale price = 70% of original price = 0.7(100) = $70.

Therefore, the expressions of the sale price of the bicycle are:

0.7p

p - 0.3p

(1 - 0.3)p

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Answer: 8.1e+31

Step-by-step explanation:

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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Answer:

1686 euro/m²

Step-by-step explanation:

$192/ft² × euro/$1.225 × (3.28 ft)²/(1 m)² = 1686 euro/m²

The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3

Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.

Given,

F(0, 2) and G(2, 6)

And also given that the points S lies on the way along FG then:

The lines divides the ratio,

1:3= m:n

Here we have to find the coordinates of S, we get:

S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))

=((1(0)+3(2))/4 , (1(2)+3(6))/4)

=(6/4 , 20/4)

=(3/2 , 5)

S(x₁, y₁)=(3/2 , 5)

Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).

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Answer:

7360

Step-by-step explanation:

(320 · 20) + (320 · 3)

6400 + 960

7360

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

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Answer:

  3x -5

Step-by-step explanation:

You want the algebraic expression for "5 is subtracted from the product of 3 and a number".

"The product of 3 and a number" is represented by 3x.

Subtraction is indicated by a minus sign. When 5 is subtracted from the product, the expression is written ...

  3x -5

Answer:

the answer to the division problem is `1x + 6` (a polynomial).

Step-by-step explanation:

To divide polynomials, we use the long division method. Here's how we can divide x² - 36 by x - 6:

x² - 36  |

--------

x - 6

First, we divide the leading coefficient of the numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the first coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

Then, we multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 36 - (x - 6) = x² - x - 30.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

We repeat the process, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - x - 30 - (x - 6) = x² - 2x + 24.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

We repeat the process one more time, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 2x + 24 - (x - 6) = x² - 3x + 18.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

   1

      x - 6

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

x² - 3x + 18

Since the degree of the new numerator is less than the degree of the denominator, we have found the complete quotient.

So, the quotient is `1x + 6`, and the remainder is `x² - 3x + 18`.

Therefore, the answer to the division problem is `1x + 6` (a polynomial).

Answer:

x + 6

Step-by-step explanation:

[tex]\frac{x^{2} -36}{x-6}[/tex]

[tex]\frac{(x+6)(x-6)}{x-6}[/tex]

x + 6

7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given, it takes 10 pounds to make 3 cups of tomato paste.

Thus, with 1 pound, number of cups can be made is equal to (3/10) cups

Thus, using 25 pounds, number of cups can be made is equal to

(3/10)*25

= 7.5 cups

3 cups of tomato paste can be made from 10 pounds

1 cup of tomato paste can be made from (10/3) pounds

14 cups of tomato paste can be made from

(10/3)*14

= 46.67 pounds

Thus, 7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

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Answer:

[tex]y=-\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{5-0}{-8-2}=-\frac{1}{2}[/tex].

So, the equation is

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

The equation y = 2x + 4 has the following missing value: 3.

The x and y values of an ordered pair whose values, if substituted into the equation, would make it true are the answer to the given equation.

According to the Given information

If the value of x is the missing value in the solution to the equation y = -2x + 4, and the solution is (x, -2) Hence, by adding y = -2 to the equation and solving for x, the value of x can be found:

-2 = -2x + 4

Take 4 away from both sides.

-2 - 4 = -2x + 4 - 4 (subtraction property of equality)

-6 = -2x

Add -2 to both sides.

-6/-2 = -2x/-2

3 = x

x = 3

The equation y = 2x + 4 has the following missing value: 3.

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If the two functions be g(x) = x + 2 and h(x) = 3x - 3 then

(h - g)(x) = 2x - 5

(h + g)(x) = 4x - 1

(h . g)(1)  = 3x² + 3x - 6

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: (Math Operator, Number/Variable, Math Operator) is an expression.

Mathematical expressions are built using the addition, subtraction, multiplication, and division operations.

Let the two functions be g(x) = x + 2 and h(x) = 3x - 3

(h - g)(x) = h(x) - g(x)

substitute the value expressions in the above equation, we get

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

= 2x - 5

(h + g)(x) = h(x) + g(x)

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

= 4x - 1

(h . g)(1) = h(1) . g(1)

= (3x - 3) . (x + 2)

= 3x² + 3x - 6

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The cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

19 turkey pound

$25.65

the cost of turkey per pound?

so,

25.65 / 19 = 1.35

the cost of turkey per pound is $1.35.

The equation becomes:

let's take x = $1.35

19x - 25.65  = 0

Hence, the cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

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Answer:

Step-by-step explanation:

The compound interest period rate is P = Po(1±r/t)n(t)

Here,

r = .039

t = 365

The daily rate in this situation is = .039/365

The factor for 1 compounding period for a year = (1+(.039/365))365 = 1.039768317

The growth factor is = 3.9768317%

The accounts value's growth factor is 1.0000107227, and the percent change per compounding period is 0.107227%.

What is the growth factor?

The account value's growth factor is the factor by which the account value increases each compounding period. It is given by the formula:

[tex]$growth factor$ = (1 + APR /{$compounding frequency$}) ^ {($compounding frequency$ / $period$)}[/tex]

In this case, the APR is 3.9%, the compounding frequency is 365 times per year (daily), and the period is one year. Plugging these values into the formula, we get:

growth factor = (1 + 0.039 / 365) ^ (365 / 1) = 1.0000107227

The percent change per compounding period is the amount by which the account value increases each compounding period, expressed as a percentage. It is given by the formula:

percent change = (growth factor - 1) * 100

Plugging the value of the growth factor that we calculated earlier into this formula, we get:

percent change = (1.0000107227 - 1) * 100 = 0.107227%

Therefore, the account value's growth factor is 1.0000107227, and the percent change per compounding period is 0.107227%.

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Answer:

3.456 × 108

Step-by-step explanation:

The cartesian equation is y=x+1 for the parametric equations x(t)=−8t and

y(t)=−8t+1

A cartesian equation for a curve is an equation in terms of x and y only

The two parametric equations are

x=-8t...(1)

y=-8t+1...(2)

Convert the second equation as below.

(1-y)/8=t

Now plug in t= (1-y)/8 in equation 1.

x=-8(1-y)/8=y-1

x=y-1 is one cartesian equation.

Now let us find the other cartesian equation

t=-x/8

Plug in t value in y.

y=-8(-x/8)+1

y=x+1

Hence the cartesian equation is y=x+1 for both parametric equations x(t)=−8t and y(t)=−8t+1

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Answer:

5

Step-by-step explanation:

The amplitude of the graph of a function of the form [tex]a\cos(bx+c)-d[/tex] is [tex]|a|[/tex].

Answer:  5 computers

Step-by-step explanation:

You would take the total amount collected and divide it by the cost of a computer.

3472/680=5.10

Since the number is not a whole number you would round down since you can not buy part of a computer. Therefore, the club can only buy 5 computers.

One centimeter is equivalent to 10 millimeters.  

Converting the cm to mm

10mm:10mm

The scale factor is 1:1 because the two are equal

Hope this helps :)

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- Jeron