1/2x +3x = 14
steps?

Step-by-step explanation:

$79.99 - $64.99 = $15

(79.99 - 64.99)/|79.99| =15

15/79.99 =

15 ÷ 79.99 =

15 ÷ 79.99 × 100/100 =

(15 × 100 ÷ 79.99)/100 =

(1,500 ÷ 79.99)/100

≈18.752344043005/100 =

18.752344043005% ≈18.75%;

Answer: A

Step-by-step explanation: took the test, got it right.

Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

Answer:

No, they aren't the same (equivalent).

Step-by-step explanation:

First, solve for both equations:

Equation #1:  6x-6=3x

Simplifying

6x + -6 = 3x

Reorder the terms:

-6 + 6x = 3x

Solving

-6 + 6x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-6 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x

-6 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0

-6 + 3x = 0

Add '6' to each side of the equation.

-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 3x = 0 + 6

3x = 0 + 6

Combine like terms: 0 + 6 = 6

3x = 6

Divide each side by '3'.

x = 2

Simplifying

Equation #2: x-1=3x

Simplifying

x + -1 = 3x

Reorder the terms:

-1 + x = 3x

Solving

-1 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-1 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

-1 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

-1 + -2x = 0

Add '1' to each side of the equation.

-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x = 0 + 1

-2x = 0 + 1

Combine like terms: 0 + 1 = 1

-2x = 1

Divide each side by '-2'.

x = -0.5

Simplifying

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.

Given that:

Pules Rs 4000 per night but will decrease the amount by R100 per person occupying the chalet.

Number of People          Cost per night

          1                                       4000

          2                                       3900

          3                                      3800

          4                                       3700

          5                                       3600

          6                                       3500

          7                                       3400

          8                                       3300

          9                                       3200

          10                                      3100

let C be cost per night and n be the number of people of staying in chalet.

equation:   C=  4000-100(n-1)

      for n=1: C= 4000- 0=4000

            n=2, C= 4000-100(1)= 3900

The graph is attached below:

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The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

A cuboid is a three dimensional figure with six rectangular faces .

The  volume of the cuboid is given by

V = length * breadth * height

It is given in the question that

a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick , this will be in the shape of a cuboid

The volume of cement required = 8 * 4 * 0.25

= 8 cu.ft

The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.

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Answer:

Hi,

Step-by-step explanation:

Let say n the number of nickels

4*n the number of quaters.

Let's calculate in cents:

n*5+4*n*25=1260

5n+100n=1260

105*n=1260

n=12 (number of nickels)

4n=48 (number of quaters)

Proof: 12*5+48*25=1260

Answer is equation B

Answer:

He could work 10 hours as a lifeguard, and 5 hours as a tutor

Step-by-step explanation:

If he makes $16 an hour as a lifeguard

            and $18 an hour as a tutor,

He could work 10 times $16, to make $160 for 10 hours.

Now we subtract this from $250, this makes $90.

We know need to find out how many times 18 goes into 90, 5 times.

So we know that he could work 10 hours as a lifeguard and 5 hours as a tutor.

I hope this is right.

I hope this helps too, have a nice day!

Answer:

75

Step-by-step explanation:

becAUSE IF YOU TEST IT THATS UR ANSWER

Answer:

i dont know bc its not the complete expression

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\huge\purple{hi!}[/tex]

3.991 nearest one hundred is 3.99

The answer wood be 3.99

Since 1 is closer to 0 you round down and it is 3.99

The number of years the money was invested with annual compounding is 3.45 years.

When an amount earn interest compounded annually, it means that both the amount invested and the interest earned increases in value once a year.

Number of years =  (In FV / PV) / r

Where:

(In 7255 / 6000) 0.055 = 3.45 years

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Answer:

65

Step-by-step explanation:

The solutions to the equation -2x = 2^x are (1,2) and (2,4)

The attached graph represents the missing part of the question

The equations are given as:

f(x) = -2x

g(x) = 2^x

The solution to -2x = 2^x is the points where the graphs of f(x) and g(x) intersect

From the attached graph, the points of intersection are:

(1,2) and (2,4)

Hence, the solutions to the equation -2x = 2^x are (1,2) and (2,4)

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The slope of EF, FG, GH, and HE is 4, -1/4, 4, and -1/4 respectively. And the length of sides EF, FG, GH, and HE will be √68, √68, √68, and √68 units respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points E(-4, 6), F(-6, -2), G(2, -4) , and H(4, 4) form quadrilateral EFGH.

Then the slopes are calculated below.

Slope of EF = (6 + 2)/(-4 + 6)

Slope of EF = 8/2

Slope of EF = 4

Slope of FG = (-4 + 2)/(2 + 6)

Slope of FG = -2/8

Slope of FG = -1/4

Slope of GH = (4 + 4)/(4 - 2)

Slope of GH = 8/2

Slope of GH = 4

Slope of HE = (6 - 4)/(-4 - 4)

Slope of HE = -2/8

Slope of HE = -1/4

Then the distance between the point will be

EF² = (-6 + 4)² + (-2 - 6)²

EF² = (-2)² + (-8)²

EF² = 4 + 64

EF = √68

FG² = (2 + 6)² + (-4 + 2)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

GH² = (4 - 2)² + (4 + 4)²

GH² = (2)² + (8)²

GH² = 4 + 64

GH = √68

FG² = (4 + 4)² + (4 - 6)²

FG² = (8)² + (-2)²

FG² = 64 + 4

FG = √68

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The complete question is

"Using the segment addition postulate, which is true?

AB + BC = AD

AB + BC = CD

BC + CD = AD

BC + CD = BD"

Using the segment addition postulate, the true option is D; BC + CD = BD.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We have been given the number line and four points A, B, C, and D on the line with coordinates -6, -1, 2, and 8 respectively.

(a) L.H.S. = AB + BC = 5 + 3 = 8,

   R.H.S = AD = 14 ≠ 8.

So, this option is incorrect.

(b) L.H.S. = AB + BC = 5 + 3 = 8,

   R.H.S = CD = 6 ≠ 8.

So, this option is incorrect.

(c) L.H.S. = BC + CD = 3 + 6 = 9,

   R.H.S = AD = 14 ≠ 9.

So, this option is incorrect.

(d) L.H.S. = BC + CD = 3 + 6 = 9,

   R.H.S = BD = 9.

So, this option is correct.

Hence, the correct option is (d).

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Answer:

52

Step-by-step explanation:

Two triangles are similar

m<B = m<E

m<C = m<D

m<A = m<F

now, the sum of interior angles in a triangle is equal to 180

angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:

40 + 88 + m<F = 180 add like terms

128 + m<F = 180 subtract 128 from both sides

m<F = 52

Answer:

[tex]\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]

Key:

• [tex]-\left(a-b\right)=-a+b[/tex]

Step-by-step explanation:

[tex]\tan \left(2\theta\right)-\left(1-\tan ^2\left(\theta\right)\right)[/tex]

[tex]-\left(1-\tan ^2\left(\theta\right)\right)=-1+\tan ^2\left(\theta\right)[/tex]

[tex]=\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]

Answer:

17 i think im like 30 pecent sure

Let V be the volume of the tank. The tap fills the tank at a rate of V/(4 hours), or V/4 per hour. The hole empties the tank at a rate of V per hour. If both the tap and hole work together, the net rate of water flow is V/4 - V or -3V/4 per hour.

Starting with a full tank, the volume v of water at time t is given by the function

v(t) = V + (-3V/4) t

Solve v(t) = 0 to find the time it takes to empty:

V - 3V/4 t = 0

V = 3V/4 t

t = V / (3V/4) = 4/3

So it takes 4/3 hours = 80 minutes to empty a full tank.

Answer:

[tex]x^{2} +8x+16[/tex]

Step-by-step explanation:

There are 2 ways to find the square of a binomial. You can use FOIL or use a formula. Just remember that the square of a binomial will always be a trinomial.

FOIL

Since we are squaring a binomial we can rewrite the expression as (x+4) * (x+4). FOIL stands for First, Outside, Inside, Last. This explains how to multiply out 2 binomials. This method will give you 4 different terms that can then be combined to find the answer.

First - multiply the first terms of each binomial

Outside - multiply the terms on the outside of both binomials

Inside - multiply the terms on the inside of both binomials

Last - multiply the last terms of each binomial

Now we can combine these terms to create the new polynomial [tex]x^{2} +4x+4x+16[/tex]. Then, combine like terms for the final answer: [tex]x^{2} +8x+16[/tex].

Shortcut

Another way to square binomials is to use the formula [tex]a^{2} +2ab+b^{2}[/tex], where a is the first term and b is the second term. So, for this formula, the binomial would look like (a+b).

So, we can apply this formula by plugging in x for a and 4 for b.

Then, multiply the middle term

Finally, square 4

This gives us the same final answer as the method above.

Step-by-step explanation:

(x+4)^2

you can also expand it

(x+4)(x+4)

x^2+4x+4x+16

x^2+8x+16

Answer:

The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.

Step-by-step explanation:

The answer is Y

Step-by-step explanation:

You have to compare the numbers with conditions both in Rows and Columns.

Answer:

f(2) = 1

(1) = 2

(f(2)) = 2

Step-by-step explanation:

f(x) = x

(x) = 2x

f(2) = (2)

f(2) = 1

(1) = 2(1)

(1) = 2

(f(2)) = 2((2))

(f(2)) = 2(1)

(f(2)) = 2

The function's solution is given as follows:

f(1) = 2

f(f(2)) = f(1) = f(1) = 1/2

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.

The independent variable's value and the dependent variable's value both change in the function.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.

For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],

[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]

For the given function [tex]f^{-1}(x) = 2x[/tex],

[tex]f'(1) = 2(1) = 2[/tex]

Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]

The composition of functions to find f(f(2)):

[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]

Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].

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Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is C.

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example:

 x² + 3x + 5

As per the given tile diagram, the first polynomial is,

First polynomial = 5x² + 4x + 6

The second polynomial equal is,

Second polynomial = 2x² + 2x + 1

Now, the sum of the two polynomial can be written as,

Sum = 5x² + 4x + 6 + 2x² + 2x + 1

        = 7x² + 6x + 7

Hence, the correct option is C.

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Answer:

[tex]a)~5(x-4)(x+1)[/tex]

Step-by-step explanation:

[tex]~~~5x^2 -15x -20\\\\=5(x^2 -3x -4)\\\\=5(x^2 -4x +x -4)\\\\=5\textbf{[}x(x-4) +(x-4)\textbf{]}\\\\=5(x-4)(x+1)[/tex]