Question 15
1 pts
Miranda wants to use a 15% off coupon on her $120 purchase at Macys.com. She is trying to
figure out how much she will save.
Which equation is the correct way to determine the accurate amount?
120 - 15% = x
120 - 15% = x
120 + 15% = x
120 + 15% = x
Question 16
2 pts

Answer:

[tex]\tt x=14[/tex]

Step-by-step explanation:

[tex]\tt 6x+6=90[/tex]

[tex]\tt 6x+6-6=90-6[/tex]

[tex]\tt 6x=84[/tex]

[tex]\tt \cfrac{6x}{6} =\cfrac{84}{6}[/tex]

[tex]\tt x=14[/tex]

~

Answer:

x = 14

Step-by-step explanation:

The diagonals make a perpendicular bisector at the center.

Hence, the central angle is 90°.

Answer:

A polygon that has eight sides is called a Octagon

Step-by-step explanation:

Answer:

an octagon

Step-by-step explanation:

'oct' means 8 and 'gon' means sides

Hope this helps!

Answer:

-12

Step-by-step explanation:

[tex](3x⁴ -21x³+29x²-3x+28) ÷ (x−5)[/tex]

[tex]\\ 3x⁴ -21x³+29x²-3x+28 \\ x - 5\overline{)3x⁴ -21x³+29x²-3x+28} \\3x {}^{4} - 15x {}^{3} \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - 6 {x}^{3 } + 29 {x}^{2} - 3x + 28 } \\ - 6 {x}^{3 } + 30 {x}^{2} \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - {x}^{2} - 3x + 28} \\ - {x}^{2} + 5x \: \: \: \: \: \: \: \: \: \\\overline { - \: \: \: 8x + 28} \\ \: \: \: \: \: 8x + 40 \\ - 12[/tex]

Answer:

Slope = -1/5

y-intercept = 3/4

Step-by-step explanation:

Equation of Straight Line in the Form y=mx+c

where m is the Slope and c is the y-intercept.

Answer:

 Slope = -0.400/2.000 = -0.200

 x-intercept = 15/4 = 3.75000

 y-intercept = 15/20 = 3/4 = 0.75000

Step-by-step explanation:

* BE AWARE, THIS ANSWER IS NOT TO BE PLAGERIZED AS IT IS CONSIDERED CHEATING IF THIS IS A TEST OR HOMEWORK QUESTION, MOST LIKELY IT IS* - Purpose is to help understanding of the concept.

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(3/4-1/5*x)=0

STEP 1:

simplify 1/5

Equation at the end of step 1:

y -(3/4-(1/5• x))  = 0

Step 2:

Simplify 3/4

Equation at the end of step 2:

y-)(3/4-x/5)=0

Step 3:

Calculating the Least Common Multiple :

ind the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors  4 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.   L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              20  

  R. Mult. • R. Num.      x • 4

  ——————————————————  =   —————

        L.C.M              20  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (x • 4)     15 - 4x

———————————————  =  ———————

      20              20  

Equation at the end of step

3

:

      (15 - 4x)

 y -  —————————  = 0

         20    

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  20  as the denominator :

         y     y • 20

    y =  —  =  ——————

         1       20  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

y • 20 - ((15-4x))     20y + 4x - 15

——————————————————  =  —————————————

        20                  20      

Equation at the end of step

4

:

 20y + 4x - 15

 —————————————  = 0

      20      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 20y+4x-15

 ————————— • 20 = 0 • 20

    20    

Now, on the left hand side, the  20  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  20y+4x-15  = 0

Equation of a Straight Line

5.2     Solve   20y+4x-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  20y+4x-15  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/4 so this line "cuts" the y axis at y= 0.75000

 y-intercept = 15/20 = 3/4  =  0.75000

Calculate the X-Intercept :

When y = 0 the value of x is 15/4 Our line therefore "cuts" the x axis at x= 3.75000

 x-intercept = 15/4  =  3.75000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.750 and for x=2.000, the value of y is 0.350. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.350 - 0.750 = -0.400 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.400/2.000 = -0.200

Geometric figure: Straight Line

 Slope = -0.400/2.000 = -0.200

 x-intercept = 15/4 = 3.75000

 y-intercept = 15/20 = 3/4 = 0.75000

Answer:

Step-by-step explanation:

x³ + y³ = (x + y)(x² - xy + y²)

= (x + y)(x² + 2xy + y² - 3xy)

= (x + y)[(x + y)² - 3xy]

= 3(3² - 3(3)) = 3(0) = 0

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

Opposite angles in a paralleogram are equal

And Consecutive angels have sum 180

And

#A

How far means measurement of perimeter or length not volume

#B

Yes

#C

Tall means length not volume

#D

Here she needs area not volume

Answer:

(x - 8)² + (y - 4)² = 9

Step-by-step explanation:

(x - 8)² + (y - 4)² = 3²

(x - 8)² + (y - 4)² = 9

Answer:

add all the sides

Step-by-step explanation:

1+5+3+1 = 10 cm

Answer:

300

Step-by-step explanation:

A percentage is a unit of proportion that represents a ratio.

For this question let the unknown number be represented by the variable x. We know that 75 is 50% of x, or half of x. This means that we can find the unknown number by doubling 75.

This means that x is 150. Next, we need to find 200% of 150. 200% of any number is that number times 2. So, to find the final answer we must once again double 150.

So, the final answer is 300.

Answer:

Step-by-step explanation:

270

50% equals to 1/2 so 1/2x=75. Times 2 on both sides you get x=135.

So 135 is x and you multiply 135 by 200%. Which get you 270.

Step-by-step explanation:

Let L = length and W = Width

The problem says L = 2W

and

Area = LW = 21

Substitute

2W2 = 21

W2 = 10.5

W = 3.24

L = 6.48

Answer:

Step-by-step explanation            

Answer:

23/26 is the distance he ran with his shoe laces untied x

Answer:

5

Step-by-step explanation:

ten minus six is four, therefore x must be equal to five since five plus five is ten

Answer:

[tex]y=-\frac{1}{5} x+2[/tex]

Step-by-step explanation:

f(x) = [tex]\frac{5}{x}[/tex]  ⇒ f(x) = [tex]5x^{-1[/tex]

Use the power rule to diferentiate:

f'(x) = [tex]-5x^{-2[/tex]

Plug in the value to differentiate at:

f'(5) = [tex]-5(5)^{-2[/tex] = [tex]-\frac{1}{5}[/tex] = [tex]m[/tex]

Plug into the equation of the tangent line:

[tex]y-f(5)=f'(5)(x-5)[/tex]

[tex]y=f'(5)(x-5)+f(5)[/tex]

[tex]y=-\frac{1}{5} (x-5)+1[/tex]

[tex]y=-\frac{1}{5} x+2[/tex]

Dilation involves changing the size of the polygon

The best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

The coordinates of vertices Q and Q' are given as;

Q = (6,2)

Q' = (21, 7)

The scale factor of dilation is then calculated as:

[tex]k = \frac {Q'}{Q}[/tex]

So, we have:

[tex]k = \frac {(21,7)}{(6,2)}[/tex]

Factorize

[tex]k = \frac {7/2(6,2)}{(6,2)}[/tex]

Divide

[tex]k = \frac {7}2[/tex]

So, the transformation rule is:

[tex](x,y) \to \frac 72(x,y)[/tex]

Hence, the best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

Option A

Step-by-step explanation:

To find the angles, you have to subtract the opposing angle from 180

180 - 85 = 95

180 - 70 = 110

Angle 1: 95

Angle 2: 110

There are two points of inflection in the graph of f(x).

Option B is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the inflection points of a function, we need to find its second derivative and set it equal to zero.

So,

Let's start by finding the first and second derivatives of f(x).

First, we find the first derivative of f(x).

f'(x) = 15[tex]x^4[/tex] + 8x³ - 260x² - 5x²

Then,

We find the second derivative of f(x):

f''(x) = 60x³ + 24x² - 520x - 10x

Next, we set f''(x) equal to zero and solve for x.

60x³ + 24x² - 520x - 10 = 0

10 (2x² - 13x - 1) = 0

2x² - 13x - 1 = 0

Now,

Using the quadratic formula,

we find the roots of this equation:

x = (13 ± √(13² + 8))/4

x = 13 ± √177) / 4

x = (13 + √177)/4 and x = )13 - √177)/4

x = 2.22 and x = -0.23

Therefore,

There are two points of inflection in the graph of f(x).

Learn more about functions here:

https://brainly.com/question/28533782

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The sum of the square of the hypotenuse is equal to the sum of the square of the other sides.The length of the hypotenuse of the triangle is l = √14

The sum of the square of the hypotenuse is equal to the sum of the square of the other sides.

Given that one of the sides is √7, hence;

l^2 = (√7)^2 + (√7)^2
l^2 = 7 + 7
l^2 = 14
l = √14

Hence the length of the hypotenuse of the triangle is l = √14

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

Step-by-step explanation:

First, simplify the question.

8 1/2 - [ 3 1/6 ÷ 5 1/3 + 11-(3 - 5/4 - 5/8 }]

then solve

Answer:

They have 2 left

Step-by-step explanation:

3 2/3 - 2 1/2 = 1 1/1 = 2

Answer:

that is true

Step-by-step explanation:

hope this helps

If a new data point at 12 is added to the graph, The mean will increase more than the median, but both will increase.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given a graph with the data points as,

1, 2, 2, 2, 3, 4, 4, 4, 5

Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5) / 9 = 27 / 9 = 3

Median = 5th term = 3

When 12 is added, new data set has 10 data points.

1, 2, 2, 2, 3, 4, 4, 4, 5, 12

Mean = (1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 5 + 12) / 10 = 3.9

Median = average of 5th and 6th term = (3 + 4) / 2 = 3.5

Hence the correct option is The mean will increase more than the median, but both will increase.

Learn more about Mean and Median here :

https://brainly.com/question/31098693

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The complete question is given below.

Answer:

[tex] {y}^{2} - (x + 4)[/tex]

Step-by-step explanation:

The answer is above

Answer:

sorry I need the points plss forgive meee

Answer:

Answer:

7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b

Step-by-step explanation:

this involves any number that when subtracted or added it gives each other the values of the family

Example:-

7 + 6 equals 13, 13 - 6 equals 7,

so you see how they relate,

please mark me brainiest

^_^

Answer:

19 is equal or less than X

Step-by-step explanation:

I know this because wherever the arrow goes, that’s equal to X. We also know that if the dot is colored, that means it equals: 19 is equal or less than X.

Answer:

1.321 us liquid gallons

Answer : 5 Liters Or 1.321 Gallons

Explanation: 5000 Mililiters = 5 Liters

◊ YusuCr ◊

Answer:

24 people borrowed the books on Friday

Step-by-step explanation:

Every day, the number of books is being subtracted by 2.

56 - Monday (-8)

48 - Tuesday (-8)

40 - Wednesday (-8)

32 - Thursday (-8)

24- Friday