Topic 2
SEQUENCES
B. Determine the next 3 terms in each arithmetic sequence
8, 14, 20, 26,

Answer:

[tex]\boxed {x < -8}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]4 + 6x < -44[/tex]

-Subtract [tex]4[/tex] to both sides:

[tex]4 - 4 + 6x < -44 - 4[/tex]

[tex]6x < -48[/tex]

-Divide both sides by [tex]6[/tex]:

[tex]\frac{6x}{6} < \frac{-48}{6}[/tex]

[tex]\boxed {x < -8}[/tex]

-The number line result based on the answer:

Answer:

45.84

Step-by-step explanation:

Answer: 45.835 rounded to the nearest hundredth is 45.84.

Answer:

b=3

Step-by-step explanation:

You want to put the variables on one side, so to get rid of the 3b, subtract 3b from both sides

2+3b-3b=5b-3b-4

2=2b-4

Then you want to get rid of the -4 so you add 4

2+4=2b-4+4

6=2b

Then, divide 6 by 2 to get b by itself

3=b

Answer: 45

Step-by-step explanation:

3x3x5

Answer:

In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Step-by-step explanation:

Answer:

C. 16

Step-by-step explanation:

1. Calculate the absolute value

|-8|+4(-5+9)/2

2. Reduce the fraction with 2

8+4(4/2)

3. Multiply

8+4(2)

4. Calculate

8+8 = 16

Answer:

angle x is equal to 58

Step-by-step explanation:

simply add 66+56 which is equal to 122. now subtract 122 from 180 which is equal to 58.

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2y+3=15

2y=12

y=6

Answer:

m = 3

Step-by-step explanation:

Since model ABCD has all equivalent side lengths, QRST is the same way, just smaller.

(Not sure if this is right, just the way I learned it!)

Answer:The answer would be infinite solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to know that this is true, you must do simple steps to solve it. The first equation (y = 2 (x + 4)) is unsolved. In order to make it equal to the second equation (Y = 2 x + 8

), you must first use the distributive property, so multiply the x and the 4 in the first equation to get Y= (2x + 8), remove the parenthesis, and now, the equations are equal. Since they are equal, they overlap each other on the graph, so any number replacing x will change both equations equally, so they will forever overlap no matter what.

Hope this helps! [?][?]

Answer:

-6.5)7 1/4)6.57)-5 58/100)9 1/3

Step-by-step explanation:

I have no explanation

Answer:

a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.

Step-by-step explanation:

Answer:

The answer is indeed A

Step-by-step explanation:

..........

Answer:

d = 10 sqrt(2)

Step-by-step explanation:

The distance formula is

d = sqrt( (y2-y1) ^2 + ( x2-x1)^2)

d = sqrt( (-1-9) ^2 + ( -4-6)^2)

d = sqrt( (-10) ^2 + ( -10)^2)

d = sqrt( 100+100)

d = sqrt(200)

d = sqrt( 200*2)

d = sqrt(100) sqrt(2)

d = 10 sqrt(2)

the answer is A and D

when you differentiate the question you find that the maximum point is (0,0)i.e

[tex] \frac{dy}{dx} = - 8x[/tex]

when dy/dx is 0 values of x are 0,0

and the function shows that valies of x are real numbers.

The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Given function as

f(x) = -4x²

The range is the set of values that correspond with the domain.

Range: (−∞,0], {y|y≤0}

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

The maximum point is when differentiating the function, which is (0,0) i.e

dy/dx = -8x

Values of x are 0 when dy/dx is 0.

Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

Learn more about the domain and the range here:

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Answer:

The answer is ( x + 2 )......

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

 3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

       0    

 3 1 ⟌ 2 1 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (1) like this:

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

       1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

     - 1 8 6

         3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

Answer:

x - 3 > = 5

x > = 5 + 3

x > = 8

closed circle on 8...because of the equal sign.....shaded to the right...because of the > sign.

Step-by-step explanation:

Answer:

1 1/12

Step-by-step explanation:

3/4 + 1/3

Get a common denominator of 12

3/4 * 3/3 = 9/12

1/3 * 4/4 =4/12

9/12 + 4/12

13/12

12/12 + 1/12

1 1/12

Answer:

1/4x+3/4

Step-by-step explanation:

Answer:

The top right

Step-by-step explanation:

In the top right table, every x value has only one y value.

Answer: 1 over 2

Step-by-step explanation: if you take the coordinates of the pre-image, letter A. which is (2,6) and the coordinates of the transformed image A’ which is (1,3) and only use the first number of the coordinates. You would put the number of of the pre-image as the denominator and the number of the transformed image as the numerator. And It would become 1/2.

[tex]Question[/tex]

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 3, 3, Q at 6, 3, R at 3, 6. A polygon P prime Q prime R prime has P prime at ordered pair 1, 1, Q prime at ordered pair 2, 1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

1 over 2

1 over 3

1 over 4

1 over 5

Answer:

The Answer Is 1 Over 2 :D

Step-by-step explanation:

Hope this Helps!!

Answer:

[tex]\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0[/tex]

Step-by-step explanation:

Write in standard form.

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

Answer:

Blouse = $13.00

Jeans = $25.50

Step-by-step explanation:

x = blouse

y = jeans

x + y = 38.5

y = x + 12.5

Use substitution:

x + x + 12.5 = 38.5

2x = 26

x = 13

Blouse = $13.00

Jeans = $25.50

The price of  Blouse is $13.00 and price of Jeans is $25.50.

Two or more expressions with an Equal sign is called as Equation.

Let x represents the price of blouse and y represents the price of jeans.

mary bought a blouse and a pair of jeans for 38.50

x+y=38.5

jeans cost 12.50 more then the blouse

y=12.5+x

We need to find the price of jeans.

Substitute y value in above equation.

x + x + 12.5 = 38.5

Add the like terms

2x+12.5 = 38.5

Subtract 12.5 on both sides

2x = 26

Divide both sides by 2

x = 13

Hence, the price of  Blouse is $13.00 and price of Jeans is $25.50.

To learn more on Equation:

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Answer:

No, Arjun would need 2546 boxes

Step-by-step explanation:

Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!

Answer:

y=8

Step-by-step explanation:

l3l=3

3+5=8 so y=8