Simplify the expression 3x(-2x + 5).
O 6x + 5
O 6x + 15
O-6x² +5
O -6x² + 15x

Answer: Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

Set up equation before taxes.

y = x - 1500        eq1

Set up equation for total tax paid.

0.065x + 0.06y = 378.75         eq2

Substitute eq1 into eq2.

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

Substitute this value of x into eq1.

y = 3750 - 1500

y = 2250

The hotel charge in city one is $3750 and the hotel charge in city two is $2250.

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The roots of the equation are x1=1,x2=-5, and x3= 2.

Equation with quadratic roots. The quadratic equation's roots are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is the quadratic equation's root, f(x). Real roots of an equation f(x) = 0 are the x-coordinates of the places where the curve y = f(x) intersects the x-axis.

The equation x3+2x2-13x+10 has roots that you need to find.

x^3 + 2x^2 -13 x+10=0

In order to determine whether x=1 is a root for the equation, let's first start by substituting it:

1+2 -13 +10 =0

When one of the roots is x=1, a factor is (x-1)

We'll divide the function by the second component to determine it (x-1)

==> x^3 +2x^2-13x +10 =0

==> (x-1)(x^2+3x-10)=0

Consider factoring now:

==> (x-1)(x+5)(x-2)=0

==> x1=1,

x2=-5,

The roots of the equation are and x3= 2.

To Learn more About  roots of the equation  refer to:

https://brainly.com/question/27114236

#SPJ1

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.

Answer:

To find the unknown value in the proportion (2x + 1) / 2 = (x + 2) / 5, we can cross-multiply the terms on the left-hand side and the right-hand side to eliminate the fractions. This gives us the equation 2(2x + 1) = 5(x + 2), which simplifies to 4x + 2 = 5x + 10. Subtracting 4x from both sides of the equation, we get 2 = x + 10, which can be rewritten as x = -8. Therefore, the unknown value in the proportion is x = -8.

Step-by-step explanation:

Answer:

3.456 × 108

Step-by-step explanation:

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

Learn more about rectangles here:

https://brainly.com/question/25292087

#SPJ1

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

Learn more about rectangles here:

brainly.com/question/25292087

#SPJ4

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

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.

To know more about Solution of Equation

https://brainly.com/question/22826207

#SPJ1

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)

To learn more about expression refer to:

https://brainly.com/question/28567182

#SPJ1

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

Answer: 8.1e+31

Step-by-step explanation:

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

hopes this helps please mark brainliest

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].

Here is the two column proof:

     Statement                                        Reason                                              

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).

To know more about coordinates, visit:

https://brainly.com/question/14568576

#SPJ1

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.

Learn more about unitary method on

brainly.com/question/22056199

#SPJ1

Answer: the second one

Answer:

7360

Step-by-step explanation:

(320 · 20) + (320 · 3)

6400 + 960

7360

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.

To learn more about decimal places from given link

brainly.com/question/50455

#SPJ4

The formula for the function T(x) is T(x) = 18 - x/100

From the question, we have the following parameters that can be used in our computation:

Rate = 1°C for every 100 m rise

Ground temperature = 18°C

This means that the function can be represented as

T = Ground temperature (G) - Rate * Height (x)

Where

So, we have

T(x) = 18 - x/100

This means that

x = 6

Recall that

T(x) = 18 - x/100

So, we have

T(6) = 18 - 6/100

Evaluate

T(6) = 17.94

In (a), we have

T(x) = 18 - x/100

This is a linear function

So, the range in interval notation is (-oo, oo)

Read more about functions at

https://brainly.com/question/26238840

#SPJ1

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]

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 :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

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

Learn more about equivalent expressions on:

https://brainly.com/question/22365614

#SPJ1

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%.

To learn more about the growth factor, visit:

https://brainly.com/question/3451703

#SPJ4

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

To learn more about the inequality from the given link

https://brainly.com/question/25275758

#SPJ1

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

To learn more on  Cartesian equation click:

https://brainly.com/question/11676110

#SPJ1

Answer: [tex]z^{10}[/tex]-5

Step-by-step explanation: