Stephanie went to the shoe store and bought two pairs of flip-flops. One pair was $19.95, and the other was $23.55. If she has $50.00, how much will she have left after buying the shoes?

In functions; transformations are used to move lines, points, curves or shapes across the graph (i.e. up, down, right or left). After the transformation of [tex]f(x) = \log\ x[/tex], the resulting function is [tex]g(x) = 2\log\ (-x + 4) - 6[/tex]

Given that:

[tex]f(x) = \log\ x[/tex]

When translated 4 units left, the rule of translation is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]f'(x) = \log\ (x + 4)[/tex]

When translated 3 units down, the rule of translation is:

[tex](x,y) \to (x,y-3)[/tex]

So, we have:

[tex]f"(x) = \log\ (x + 4) - 3[/tex]

When reflected about the y-axis, the rule of reflection is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]f'"(x) = \log\ (-x + 4) - 3\\[/tex]

Lastly, when it is vertically stretched by 2; the rule is:

[tex](x,y) \to (x,2y)[/tex]

So, we have:

[tex]g(x) = 2[\log\ (-x + 4) - 3][/tex]

Open bracket

[tex]g(x) = 2\log\ (-x + 4) - 6[/tex]

See attachment for the graph of function f(x) and the new function g(x)

Read more about function transformations at:

https://brainly.com/question/24369847

Answer:

h.

[tex] \frac{9 {x}^{10}(y. {x}^{3}) {}^{2} }{y.x(3 {x}^{3}) {}^{3} } \\ \\ = \frac{9 {x}^{10}(y {}^{2} )( {x}^{6} ) }{3y. {x}^{10} } \\ \\ = \frac{ {3}^{2} {x}^{16} {y}^{2} }{3y {x}^{10} } \\ \\ = 3y {x}^{6} [/tex]

j.

[tex] \frac{(3x. {y}^{7} ) {}^{2}. {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{3 {x}^{2} . {y}^{14} . {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{ {3x}^{7} {y}^{14} }{3 {x}^{7} {y}^{4} } \\ \\ = {y}^{10} [/tex]

Answer:

51 cents for 17 inches of wire

Step-by-step explanation:

22 = 66

17 = x

22x = 66 * 17

22x = 1122

x = 51 cents

or

22 inches costs 66 cents

1 inch costs 3  cents (66 / 22 = 3  cents)

17 inches costs 51  cents (17 * 3 = 51 cents)

Answer:

A. 2x²+x-9

Step-by-step explanation:

2x²+x-9 = 2x²+1x-9

x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

The equation is the relationship between variables and is represented as y = ax+b is an example of a polynomial equation.

Let the hours be x and the hourly rate is y.
Now the data given in the table is calibrated into the equation.
The equation for A,
y = 15x + 35    - - - - - (1)
The equation for B,
y = 12x + 40    - - - - - - (2)

Solving equations 1 and 2
15x + 35 = 12x + 40
3x = 5
x = 5/3
x = 1.67 hour
Now put it on equation 2 and equation 1
y(B) = 12 * 1.68 + 40
y (B)= $60.1
y(A) = 12 *1.68 + 35
y(A) = $60.2


Thus, x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Answer:

Step-by-step explanation:

Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.

Answer:

answer is A

Step-by-step explanation:

option A is the answer

Step-by-step explanation:

. The mean is less than the median.

The statement that is most likely correct for the negatively skewed data distribution given is: B. The mean is less than the median.

A negatively skewed data distribution has the tail to the left of the number line, and therefore its median is usually greater than its mean.

Negative skewed: Mean < Median < Mode

No skewed: Mean = Median = Mode

Positive skewed: Mean > Median > Mode

The dot plot shows a data distribution that is negatively skewed. Therefore, the statement that is most likely to be true is: B. The mean is less than the median.

Learn more about a negatively skewed data distribution on:

brainly.com/question/20378699

#SPJ2

[tex]\\ \sf\longmapsto \frac{5}{ \sqrt{7} - \sqrt{3} } + \frac{1}{ \sqrt{7} + \sqrt{3} } \\ \\ \sf\longmapsto \frac{5( \sqrt{7} + \sqrt{3} ) + 1 (\sqrt{7} - \sqrt{3} )}{( \sqrt{7} - \sqrt{3} )( \sqrt{7} + \sqrt{3} )} \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + 5 \sqrt{3} + \sqrt{7} - \sqrt{3} }{( { \sqrt{7} )}^{2} - ( \sqrt{3}) {}^{2} } \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + \sqrt{7} + 5 \sqrt{3} - \sqrt{3} }{7 - 3} \\ \\ \sf\longmapsto \frac{6 \sqrt{7} + 4 \sqrt{3} }{4} [/tex]

it is helpful to you

Answer:

Step-by-step explanation:

Part A:

The interquartile range is approximately 10

Part B:

The difference between the median values for each data set  is approximately 6

Part C:

i) More widely distributed and concentrated to the beginning of the month

The better measure of the center for the male dataset is the median

ii) The skewed distribution

The mean is the better measure of center for the dataset

Part D;

A possible reason for the outlier is by chance

Part A : The IQR for the male's data 25-2=23.

Part B : The difference between the median values of each data set 20-6=14

Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.

Because the data has outliners, the meadian would be a better measure of center for females.

Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.

A boxplot is a chart that used to represent data analysis.

How to solve boxplot?

Part A : The IQR for the male's data 25-2=23.

Part B : The difference between the median values of each data set 20-6=14

Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.

Because the data has outliners, the meadian would be a better measure of center for females.

Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.

Learn more about box plots here :

https://brainly.com/question/16910781

#SPJ2

Answer:

Step-by-step explanation:

1500(1.055)^7= 2182.02

Answer:

6.89

Step-by-step explanation:

Well, the number is smaller than 7 so it's 6 or less.

It's 7 when rounded up so it's got to be 6.__

The digit after 6 has to be even and has to be larger than 5 so it's either 6 or 8

The hundredths place digit is the greatest 1-digit odd number which is 9.

6.69 or 6.89 but since none of the digits can be repeated, it's 6.89

Answer:

555

Step-by-step explanation:

hope it may be help you

Answer:

x = 134

Step-by-step explanation:

All right, I'm not the best at explaining these but I will try. So first these two are parallel lines (Because you can see the 2 arrows >> like this). When looking at the problem what I would first to is find the angle on the other side of 46, which is 134. Since these are parallel lines the line up there will also equal the same. So x would equal 134 and the angle on the other side will be 46. I hope that makes sense, if not you can ask me what doesn't make sense and I will try to explain it

Answer:

x = 134°

Step-by-step explanation:

x and 46° are same- side interior angles and sum to 180° , so

x + 46° = 180° ( subtract 46° from both sides )

x = 134°

Answer:

true

Step-by-step explanation:

because some of x if x=3 then 3<6 is true

Answer:

specify which shape's symmetry do you want

Answer:

124,503 round to 125,000

Step-by-step explanation:

4 is in the thousands place

We look at the hundreds place

5 is in the hundreds place.  Since 5 is 5 or greater, we round the 4 up

124,503 round to 125,000

Answer:

147

Step-by-step explanation:

The number is three times the other number

so 7 and 21

cause 7 x 3 = 21

finally check 21 x 7 = 147

Answer:

C

Step-by-step explanation:

They are neither perpendicular nor parallel since line 1 has slope=-3/5 and line 2 has slope=-5/3. They are neither equal nor have a product equal to - 1.

9514 1404 393

Answer:

  750 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = LWH . . . . where L, W, H represent length, width, height

The volume is the product of the dimensions.

  V = (15 cm)(5 cm)(10 cm) = 750 cm³

Answer:

Music place has a better buy

Step-by-step explanation:

CD express

60 dollars / 4 cds = 15 dollars per cd

Music places

75 dollars / 6 cds = 12.50 per cd

Answer:

x = 66.74715005725

Step-by-step explanation:

First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725

Answer:

x = -1/4

Step-by-step explanation:

-4(-5x-3) = 7

Distribute

20x +12 = 7

Subtract 12 from each side

20x+12-12 = 7-12

20x = -5

Divide by 20

20x/20 = -5/20

x = -1/4

Answer:

y = 7

Step-by-step explanation:

Equate the equation to equal 0.

8(y-7) = 0

Open up the bracket:

8y - 56 = 0

Add 56 to both sides:

8y = 56

Divide both sides by 8:

y = 7

Answer:

Area=49x^2+9-42x

Step-by-step explanation:

Area=(Side)^2

Area=(7x-3)^2

Area=49x^2+9-42x

Answer:

4b³ + 11b² - 6b + 13

Step-by-step explanation:

Subtract like terms.

6b³ - 2b³ = 4b³

3b² - (-8b²) = 3b² + 8b² = 11b²

0 - 6b = -6b

8 - (-5) = 13

All together, the difference is 4b³ + 11b² - 6b + 13.

The geometric mean of the numbers is 5.38

Given the values a, b, c and d

The geometric mean of the values will be expressed as:

[tex]GM = (abcd)^{1/4}[/tex]

Given the values 4, 5, 6, and 7, the geometric mean will be expressed as:

[tex]GM = (4\times5\times6\times7)^{1/4}\\[/tex]

[tex]GM = (840)^{1/4}\\GM=\sqrt[4]{840} \\GM = 5.38[/tex]

Hence the geometric mean of the numbers is 5.38.

Learn more: https://brainly.com/question/23875011