The graph shows the reciprocal parent function.
5
41
5
-5
Which statement best describes the function?
A. The function is positive when x<0.
B. The function is always positive.
C. The function is positive when x < 0 and when x > 0.
D. The function is positive when x > 0.

Answer:

It would be translation and dilation.

Step-by-step explanation:

The sequence of transformations that will give a similar rectangle is the one in option C "translation and dilation".

Remember that two similar rectangles have the same shape, but different size.

This means that, if in the sequence of transformations we have a dilation, then the image of the transformation will be similar to the original rectangle.

Notice that there is only one option with a dilation which is option C.

"translation and dilation"

So that is the correct option.

If you want to learn more about transformations, you can read:

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Hey there! I'm happy to help!

First we use the distributive property to undo the parentheses.

7n+12n-9-2

We combine the terms with n.

19n-9-2

And we combine the constants.

19n-11.

Have a wonderful day! :D

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19n - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7n + 3(4n - 3) - 2}[/tex]

Distribute 3 through the parentheses

[tex] \longrightarrow{ \sf{7n + 12n - 9 - 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{19n - 9 - 2}}[/tex]

The negative integers are always added but posses the negative ( - ) sign

[tex] \longrightarrow{ \sf{19n - 11}}[/tex]

Hope I helped!

Best regards! :D

The cost of 4th book is $22.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Jenny bought 4 books in a bookstore. The prices of the first 3 books were $10, $15 and $25.

Let the cost of 4th book be $x.

Now, average = (10+15+25+x)/4

(50+x)/4 =18

50+x =72

x=$22

Therefore, the cost of 4th book is $22.

To learn more about an average visit:

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Answer: He needs 80 cups.

Step-by-step explanation:$12/$.15=80 cups

the answer is will be $140

Answer:

$70

Step-by-step explanation:

28 divided by 2 is 14, so 14 x 5= 70

Therefore it is $70 dollars for 5 CDs

Answer:

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A.   using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

                               12

   = $10,617.57

B.   using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

                                12

   = $10,940.51

C.   using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

                                12

   = $11.273.28

D.   using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

                                12

   = $11,616.17

therefore, based on the above terms, option A which is $10,617.57

                 has the lowest accumulated monthly interest. (total cost)

A) 2 years at 3% interest = $10,617.57

Step-by-step explanation:

loan amount (P) = $10,000

interest is compound monthly :

A = P (1 + r/n)^n*t

find:

which of these loan terms will have the lowest total cost?

A) 2 years at 3% interest

B) 3 years at 3% interest

C) 4 years at 3% interest

D) 5 years at 3% interest

solution:

plugin the values into the formula to get the accumulated monthly interest.

A.   using 2 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²

                              12

  = $10,617.57

B.   using 3 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³

                               12

  = $10,940.51

C.   using 4 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴

                               12

  = $11.273.28

D.   using 5 years at 3% interest

A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵

                               12

  = $11,616.17

therefore, based on the above terms, option A which is $10,617.57

                has the lowest accumulated monthly interest. (total cost)

Step-by-step explanation:

-125+ 250+ (-50) = 75

Answer:

Step-by-step explanation:

x = a - 2byx²

x - a = -2byx²

[tex]-2byx^{2}= x- a\\\\ y = \frac{x-a}{-2bx^{2}}\\\\ y =\frac{-(x-a)}{2bx^{2}}\\\\y=\frac{ -x + a}{2bx^{2}}\\\\y=\frac{ a -x }{2bx^{2}}\\[/tex]

Answer:

12x+14

Step-by-step explanation:

Answer: x=18

Step-by-step explanation: 7x−11=5x+25

Step 1: Subtract 5x from both sides.

7x−11−5x=5x+25−5x

2x−11=25

Step 2: Add 11 to both sides.

2x−11+11=25+11

2x=36

Step 3: Divide both sides by 2.

2x /2 = 36 /2

x=18

Answer:

x=18

Answer: Option C.

Step-by-step explanation:

The data is:

Destin walked 2km

Jane walked 4000ft.

Let's write both of those in the same units.

The data given is:

1ft = 0.0003048km.

and 4000ft is 4000 times that:

4000ft = 4000*1ft = 4000*0.0003048km = 1.22km

Then if we add those, we get:

Total distance = 2km + 1.22km = 3.22km

So we can already discard option D.

Now, we know that:

1km = 0.6214 miles.

then 3.22 km is 3.22 times that amount:

3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles

The correct option is C.

Answer:

area = 2x^{2}  + 17x + 35 square unit

Step-by-step explanation:

if the height is the width:

area = (x + 5)(2x + 7)

area = [tex]2x^{2} + 7x + 10x + 35[/tex]

area = [tex]2x^{2} + 17x + 35[/tex] square unit

Answer:

-6

Step-by-step explanation:

g(1) would be equal to g(1) = -(1) - 5 = -6

So, the answer would be -6.

The value of g(1) is -6.

Given,

g(x) = -x - 5

We need to find g(1).

A function is given by f(x).

The value of x is called the domain.

The output we get after putting the domain x in the function is called the range.

Example:

f(x) = x + 2

x = 1

f(1) = 1 + 2 = 3

domain = 1

range = 3

Find g(x) at x = 1.

g(x) = -x - 5

Put x = 1

g(1) = -1 - 5

     = -6

g(1) = -6 is our answer.

Thus the value of g(1) is -6.

Learn more about finding the value of a function at a point here:

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this may help

My Step-by-step explanation:

the plumber would first make 60 dollars for the call , and then would make 55 dollars for each hour , or about 110 dollars every 2 hours. So, for 1 hour , she would have 105 dollars for the call , and 1 hour of work.  

Answer:

exact form: x = √ 17 + 9 , − √ 17 + 9

decimal form: 13.12310562

Step-by-step explanation:

Add  43  to both sides of the equation. Add  −  9  and  43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.

Hope this helps!

B $330

Step-by-step explanation:

My quiz said it was b

Answer:

simplify 5(m+3+n)

5m+5n+15

Answer:

i honestly don't know

Step-by-step explanation:

suddjdbdb

Answer:

70 I guess

Step-by-step explanation:

10 days a week: Key

1 week is 7 days

10/ every seven days they earn 10 dollars

7*10=70

Answer:

C

Step-by-step explanation:

C is the only one that is an enlarged version of A.

Answer:

Statement 1 2 and 4

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

mark brainliest

Answer:

2.86

Step-by-step explanation:

put 6.93 on top and 4.07 under it.The u subtract each number from the one under(3-7,9-0,2-4) nd then to check ya work reverse the operation and use the answer nd the smaller number to get the bigger number

Answer:

9 ÷ 1504 = 0 R 9

0.00598404255

Step-by-step explanation:

Shown above is remainder form and decimal form...

Answer:

[tex]p(x) = x^3-3x^2-2x+4[/tex]

[tex]p(x) = (x-1)(x^2-2x-4)[/tex]

Answer:

(a) Equation: [tex]T_n = 11.25 - 1.25n[/tex]

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 10[/tex]

[tex]d = -1.25[/tex]

Substitute these values in the formula

[tex]T_n = 10 + (n - 1) * -1.25[/tex]

[tex]T_n = 10 -1.25n +1.25[/tex]

Collect Like Terms

[tex]T_n = 10 + 1.25 - 1.25n[/tex]

[tex]T_n = 11.25 - 1.25n[/tex]

Solving for (b): In this case, n - 3

Substitute 3 for n in [tex]T_n = 11.25 - 1.25n[/tex]

[tex]T_3 = 11.25 - 1.25 * 3[/tex]

[tex]T_3 = 11.25 - 3.75[/tex]

[tex]T_3 = 7.5[/tex]

7.5 gallon of gas left

Answer:28

Step-by-step explanation: 17-3 = 14 and 14 is half of 28.

Answer:

Dafne originally had 28 apples.

Step-by-step explanation:

Dafne gave away 3 more than half of her apples, and she gave away 17 apples.

So the first step would be to find half of the original number of apples:

17-3=14

Now all we have to do is multiply by two:

14x2=28

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

[tex]Domain:\{Age\geq 0\}=[0,\infity)[/tex]

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

[tex]Range:\{0,25,35,40\}[/tex]

Therefore, range is {0,25,35,40}.

Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2