What are the next three terms in the sequence 1, 7, 13, 19, ... ?

Answer:

C. -5/2

Step-by-step explanation:

To find the slope you can use the slope formula:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

We can pick 2 points from the table, I am going to use (3,5) and (1,10).

Plug these into the equation:

[tex]slope = \frac{10-5}{1-3} =- \frac{5}{2}[/tex]

Therefore, the answer to the question is C. -5/2.

I hope this helps!!

- Kay :)

Answer:

Shifting down.

Vertically compressed

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]

Required

Determine the translation from f(x) to g(x)

The first translation from f(x) towards g(x) is:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^x - 7[/tex]

This is derived by:

[tex]f'(x) = f(x) - b[/tex]

Where

[tex]b = 7[/tex]

Notice that, in the above, b (i.e. 7) was subtracted from f(x), this implies that the function shifted down

The next translation that resulted in g(x) is:

[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]

This is derived by:

[tex]g(x) = a.f'(x)[/tex]

By comparison:

[tex]a = \frac{1}{3}[/tex]

Since the value of a is less than 1, then f'(x) is vertically compressed to give g(x).

Hence, the transformations that apply from f(x) to g(x) are:

Answer:

shifting down

vertically compressed

Step-by-step explanation:

Answer:

[tex]600\ rupees[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]

[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]

[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]

Answer:

3,846.68182

Step-by-step explanation:

hope it helps

Answer:

1100

Step-by-step explanation:

price = 1500

discount= 15%

15% of 1500 = (15/100)*1500= 15*15= 225

so selling price = 1275

profit is selling price - cost price

1275 - CP = 175

CP = 1275-175= 1100

I didn't understand the calculator part of the question

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

Answer:

(2, - 3.5)

Step-by-step explanation:

K(3, - 3)

L(2, 1)

[tex]m_{KL}[/tex] = [tex]\frac{-3-1}{3-2}[/tex] = - 4

Slope of perpendicular line is [tex]\frac{1}{4}[/tex]

y - 1 = - 4(x - 2) ⇔ y = - 4x + 9

Equation of the perpendicular to KL from point M(4, - 3) is

y - (- 3) = [tex]\frac{1}{4}[/tex] (x - 4) ⇔ y = [tex]\frac{1}{4}[/tex] x - 4 ....... (1)

L(2, 1)

M(4, - 3)

[tex]m_{LM}[/tex] = [tex]\frac{-3-1}{4-2}[/tex] = - 2

Slope of perpendicular line is [tex]\frac{1}{2}[/tex]  

y - 1 = - 2(x - 2) ⇔ y = - 2x + 5

Equation of the perpendicular to LM from point K(3, - 3) is

y + 3 = [tex]\frac{1}{2}[/tex] (x - 3) ⇔ y = [tex]\frac{1}{2}[/tex] x - 4.5 ....... (2)

The coordinates of the intersect of lines (1) and (2)

[tex]\frac{1}{2}[/tex] x - 4.5 = [tex]\frac{1}{4}[/tex] x - 4 ⇒ [tex]\frac{1}{4}[/tex] x = 0.5 ⇒ x = 2

y = [tex]\frac{1}{2}[/tex] (2) - 4.5 ⇒ y = - 3.5

(2, - 3.5)

Answer:

67

Step-by-step explanation:

Aops Question

The value if you subtract the numerator from the denominator will be -67.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that expressing the reciprocal of $1.67$ as a simplified fraction. The number when you subtract the numerator from the denominator will be calculated as below:-

Fraction form of the number 1.67 = 167 / 100.

The subtraction of numerator from denominator = 10  - 167 = -67

Therefore, the value of subtraction of the numerator from the denominator will be -67.

To know more about Expression follow

brainly.com/question/723406

#SPJ2

SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka

Answer:

The same letter lol

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

a. 75°

Step-by-step explanation:

[tex] m\angle A = m\angle C... (given) [/tex]

[tex] (2x+15)\degree = (3x - 15)\degree [/tex]

[tex] 2x+15 = 3x - 15 [/tex]

[tex] 2x - 3x=-15-15[/tex]

[tex] - x=-30[/tex]

[tex] x=30[/tex]

[tex]\because m\angle A = (2x+15)\degree [/tex]

[tex]\therefore m\angle A = (2\times 30+15)\degree [/tex]

[tex]\therefore m\angle A = (60+15)\degree [/tex]

[tex]\therefore m\angle A = 75\degree [/tex]

Answer:

John's Computer Software Store

A) Probability that a person who walks by the store will enter the store:

= 41%

B) The probability that a person who walks into the store will buy something:

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 55%

Step-by-step explanation:

a) Data and Calculations:

Number of people who walked by the store yesterday = 137

Number of those who came into the store = 56

Number of people who came into the store and bought something = 25

Number of people who came into the store and bought nothing = 31 (56 - 25)

A) Probability that a person who walks by the store will enter the store:

= 56/137

= 0.4087

= 0.41

= 41%

B) The probability that a person who walks into the store will buy something:

= 25/56

= 0.4464

= 0.45

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 56/137 * 25/56

= 0.41 * 0.45

= 0.1845

= 0.18

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 31/56

= 0.5536

= 0.55

= 55%

Answer:

12

Step-by-step explanation:

just look at the other side since both are the same

Answer:

The diagram is attached below which shows the location of the point (-5, -9)

Step-by-step explanation:

Given the point

The location of the point (-5, -9) can be determined by locating the point at x=-5 and y = -9.

Please check the attached diagram where I located the point (-5, -9).

From the attached diagram, it is clear that:

Moving 5 units to the left from the origin (0, 0) and then moving 9 units down would get us to the location x = -5 and y = -9.

The diagram is attached below which shows the location of the point (-5, -9)

Answer:

23

Step-by-step explanation:

Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)

10*1/2+(-6)(-3)

10*1/2+18

5+18

23

C.$47

Step-by-step explanation:

6% =0.06

0.06x50= 3

50-3= $47

Answer:

The reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

Step-by-step explanation:

Original dimensions of Image:

Width = 20 cm

Length = 12 cm

Fran reduced the dimensions using a scale factor of 0.6

We need yo find dimensions of reduction.

We would multiply the original dimensions by 0.6 to find the new dimensions.

So, Width = 20 * 0.6 = 12

length = 12 * 0.6 = 7.2

So, the reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

Answer:

The slope of the line is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

It's given the points (1,3) and (-2,2). Let's calculate the slope:

[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]

Calculating:

[tex]\displaystyle m=\frac{-1}{-3}[/tex]

[tex]\displaystyle m=\frac{1}{3}[/tex]

The slope of the line is [tex]\frac{1}{3}[/tex]

Answer:

yes

Step-by-step explanation:

the second number in a set of parenthesis is the y value and the number in the parenthesis is 92 which makes y=92 true

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

25

Answer:

y=1/2x+1

Step-by-step explanation:

Answer:

x>-9

Step-by-step explanation:

The given inequality is :

-3x - 7 < 20

We need to find the solution of the inequality using graph.

-3x - 7 < 20

Add 7 to both sides

-3x-7+7 < 20+7

-3x <27

x>-9

Hence, the attatched graph shows the solution of the given inequality.

Answer:

Solution in image

Step-by-step explanation:

Answer:

56

8 pictures * 7 days = 56 pictures

Step-by-step explanation:

Answer:

the answer is   b

Step-by-step explanation:

please brainliest

Answer:

c

Step-by-step explanation:

Answer: (A) 22.5 mins

Step-by-step explanation:

Given data:

Duration of the match = 90mins.

Number of substitutes = 4.

Solution:

Since Each of the four (4) substitute players alternated equally, simply means each of the 4 players spent an equal amount of time on the football pitch.

= 90mins/4

= 22.5mins.

Each player spent 22.5minutes on the football pitch.

The division of total time distribute the same time for each substitutes player.

The duration for which each substitute player plays the game of football is 22.5 minutes.

Division of total time by the units of division provides the equal time for each unit.

Given information-

A game of football with 11 players lasts for exactly 90 minutes.

Total number of substitutes is 4.

All the players plays for the same length of time.

As there is total number of substitute players are 4 and the total time duration is 4.

Thus for each player to play same length of time, the time should be divided by the number of players. Therefore,

[tex]t=\dfrac{90}{4} \\t=22.5[/tex]

Hence the duration for which each substitute player plays the game of football is 22.5 minutes.

Learn more about the division of time here;

https://brainly.com/question/668114

Answer:

y = 4x

Step-by-step explanation:

To start, we need to find the slope:

m = y₁ - y₂ / x₁ - x₂

Substitute the numbers and solve for the slope:

m = -4 - (-8) / -1 - (-2)

m = -4 + 8 / -1 + 2

m = 4 / 1

m = 4

Now we know that the slope is 4.

Next, we need to use point-slope form:

y - y₁ = m(x - x₁)

Once more, substitute the numbers:

y - (-4) = 4(x - (-1))

y + 4 = 4(x + 1)

y + 4 = 4x + 4

y = 4x

Therefore, the equation of the line is y = 4x.

Answer:

Step-by-step explanation:

Given equation:

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

C. the equation has one extraneous solution.