What is the constant in the algebraic expression to represent the patter below??

15,11,7,3,-1,...

Answers

Answer 1

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

[tex]15,11,7,3,-1,...[/tex]

computing the differences of all the adjacent terms

[tex]11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4[/tex]

The difference between all the adjacent terms of the pattern is the same which is

[tex]d=-4[/tex]

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.


Related Questions

What is the GCF of 20, 10 and 30?

Answers

Answer:

10 is the GCF

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Jason bought 4.5 kilograms of cream cheese. How many grams of cream cheese did Jason buy?

Answers

Answer:

the answer is 4500

Step-by-step explanation:

Answer:

He Bought 4,500 Grams of Cream Cheese.

Step-by-step explanation:

Find the length of the third side. If necessary, write in simplest radical
form.
8
17

Answers

Answer:

9

Step-by-step explanation:

so we know that its a right triangle and 8 and [tex]\sqrt{17}[/tex] are not the hypotenuse.

the equation for this is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] with c being the hypotenuse.

[tex]8^{2}[/tex]+[tex]\sqrt{17} ^{2}[/tex]=[tex]c^{2}[/tex]

64+17=[tex]c^{2}[/tex]

81=c

[tex]\sqrt{81}[/tex]=c

9=c

Answer:

Step-by-step explanation:

To make the use of Pythagoras's theorem clear

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

where C is they hypotenuse or Hyp

A is one side often called  the Adjacent side

B is the other side often called the Opposite side

when A = 8

and B = [tex]\sqrt{17}[/tex]

then

[tex]C^{2}[/tex]  = [tex]8^{2}[/tex] + [tex]\sqrt{17} ^{2}[/tex]

[tex]C^{2}[/tex] = 64 + 17

[tex]C^{2}[/tex] = 81

C = [tex]\sqrt{81}[/tex]

C = 9


3x+y=-9
Y=5x+7
Solve the system of linear equations by substitution

Answers

Answer:

x=-2

Step-by-step explanation:

Substitute y=5x+7 into the equation 3x+y=-9

So you will have, 3x+5x+7=-9

3x+5x=8x

8x+7=-9

8x+7-7=-9-7

8x=-16

x=-2

what is equivalent to (18x+21)-2x

Answers

Answer:

16x+21

Step-by-step explanation:

The answer would b 16x+21

What is the length of a diagonal of rectangle EFGH?

Answers

Answer:

Step-by-step explanation:

So it is 3 by 7 rectangle and diagonal

FE=3 EH=7 so FH=6

Need help with 2 math questions pls help me for 20 points.

Answers

The answers are A and B

Eight angles of a nonagon measure 1389, 154º. 145°, 132°, 148°, 143,
147°and 150°. What is the measure of the ninth angle?

Answers

Answer:

103°

Step-by-step explanation:

The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.

138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157

1260 - 1157 = 103

Therefore, the missing angle is 103°

6. Tim and Jude share some
money in the ratio 3:4. If Tim gets
$450. How much did they share?​

Answers

Answer:

They shared $1050.

Step-by-step explanation:

Divide 450/3 = 150

150 * 4 = 600

If Tim gets $450, then Jude will get $600.

450 + 600 = 1050

If Tim gets $400, then Jude will get $600.

What is the mean of the numbers given below? 1, 5, 7, 9, 11, 16, 18, 20, 30, 35 Report your answer in decimal form. Enter​

Answers

Answer:

15.2

Step-by-step explanation:

1) First, add all of the numbers together. 1+5+7+9+11+16+18+20+30+35=152.

2) Then, divide this by the amount of numbers. There are 10, so it is 152÷10=15.2

3) The answer is 15.2

HELP DUE IN 10 MINS! Finish the similarity statement.

∆DEC ~ ∆??

Answers

Answer:

pog

Step-by-step explanation:

that test :P

Rewrite each expression by combining like terms.
9tu - 15tu
PLEASE

Answers

Answer:

-6tu

Step-by-step explanation:

The answer would be ~-6tu~

Hope this helps

Have a great day/night

Feel free to ask any questions

7(x + 2) = 6(x + 5) solve for x

Answers

7(x + 2) = 6(x + 5)
7x + 14 = 6x + 30
x + 14 = 30
x = 16

X = 16

7 x + 14 - 6 x = 30

x + 14 = 30

Classify the quadrilateral below.

Answers

Answer:

rhombus

Step-by-step explanation:

help quickly, please! I'll mark you brainliest if you're right!

Answers

Answer:

C 803.8 in2

Step-by-step explanation:

Answer:

the answer is C 803.8 in2

Step-by-step explanation:

the sun of 20 pesos bills (t) and fifty pesos bills (f) is greater than pho 42D​

Answers

Answer

it is 0.5

Step-by-step explanation:

(10x + 20) degrees what is the value of x

Answers

Answer:

I think 2

Step-by-step explanation:

10x=20

20 divided by 10= 2

What is the measure

Answers

9514 1404 393

Answer:

  ∠SAP = 85°

Step-by-step explanation:

The whole is the sum of the parts.

  ∠SAX = ∠SAP + ∠PAX

  142° = ∠SAP + 57° . . . . . . . use the given values in the equation

  ∠SAP = 142° -57° . . . . . . . . subtract 57° from both sides

  ∠SAP = 85°

What is the missing length?

Answers

64 = 8x

64 = 8×8

answer is 8 km

Find the area of a rectangle with a base of 15 feet and a height of 20 feet.

Answers

Answer:

1/2 times base times height. So you would do 1/2 x 15 x 20 equals....

Step-by-step explanation:

base * height
(15)(20)
= 300

what is the difference (7² + 8² + 9²) - (6² + 5² + 4²)

Answers

Answer:

199

Step-by-step explanation:

49 + 64 + 81 - 36 +25+16

194 - 36 +25 + 16

-36 + 25 + 16

= -11 + 16 = 5

194 + 5 = 199

write an algebraic expression for the verbal expression
x more than 7

Answers

Answer:

x+7

Step-by-step explanation:

idek kinda thought that was obvious but who know I could be wrong

The algebraic expression for the verbal expression x more than 7 will be x + 7.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The algebraic expression for the verbal expression x more than 7 will be

The numbers will be x  and 7. And the sum of the numbers x and 7 will be given as,

⇒ x + 7

The algebraic expression for the verbal expression x more than 7 will be x + 7.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

What must NOT be included in an expression?

1. an equals sign

2. at least one variable

3. one or more numbers

4. an operation such as addition

Answers

Answer:

1. an equal sign

Step-by-step explanation:

An expression is a mathematical statement that does not contain an equal sign. It cannot be solved for unless the value of the variable is given.

Answer:

1. an equals sign

Step-by-step explanation:

expression does NOT have a equal sign but an equation does have an equal sign.

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

Answers

Answer:

rises to the left and rises to the right

Step-by-step explanation:

The end behavior of the graph of f(x) = 3x⁶ + 30x⁵ + 75x⁴ is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial function is 6, which is even, and the leading coefficient is positive, so the end behavior of the graph is as follows:

As x approaches negative infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) approaches positive infinity.

As x approaches positive infinity, both the x⁶ and x⁵ terms become very large positive numbers, and so the value of the function f(x) also approaches positive infinity.

Therefore, the end behavior of the graph of f(x) is that it as x → -∞, y → ∞ and as x → -∞, y→ ∞.

Learn more about the polynomial here:

brainly.com/question/11536910

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Can somebody Plz ANSWER

Answers

Answer:

The Height of an Average Door is about 80 Inches. So it is 7 Feet

Step-by-step explanation:

Converting 7 feet into Inches it becomes 84, which is the closet to a standard door.

A local hamburger shop sold a combined total of 450 hamburgers and cheeseburgers on Thursday. There were 50 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?​

Answers

Answer:

250 hamburgers

Step-by-step explanation:

so if there were 50 less cheeseburgers then I would take 50 away from 450 and I would get 400. And then I divided it by 2. And so 200+50 = 250 so 250 hamburgers and 200 cheeseburgers. I hope this helps and I'm not good at explaining. :)

Please help me. its due in 15 minutes.

Answers

Answer:

sorry

Step-by-step explanation:

Answer:

$3,685.9

Step-by-step explanation:

f(x)=2x^2-5x-20
find f(-9)

Answers

Answer:

The output when x = -9 is f(x) = 187.

Step-by-step explanation:

We are given a function and asked to find the output of that function.

The input of a function refers to a value that is substituted into the function in order to simplify it to a final value.The output of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.

Our standard function is in the form of a quadratic equation.

[tex]ax^2+bx+c=0[/tex]

Let's check for a change in the presentation of the first value in the equation.

[tex]\bold{f(x)} = 2x^2 - 5x - 20\\\\\bold{f(-9)}[/tex]

We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.

[tex]f(-9) = 2(-9)^2 - 5(-9) - 20[/tex]

Now, it's time to simplify this function. Let's first simplify the first term of the function: [tex]2(-9)^2[/tex].

Let's follow PEMDAS in order to simplify the term.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

When using this acronym, make sure that all operations are performed left to right.

We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.

[tex]-9 \times -9 = 81[/tex]

Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.

[tex]81 \times 2 = 162[/tex]

Now, we need to subtract the product of 5 and -9.

[tex]5 \times -9 = -45[/tex]

[tex]162 - - 45 = 207[/tex]

Finally, we subtract 20 from this value.

[tex]207 - 20 = 187[/tex]

Therefore, the value of f(-9) is 187.

Given :-

[tex] \sf f(x) = 2 {x}^{2} - 5x - 20[/tex]

To Find :-

[tex] \sf f( - 9)[/tex]

Solution :-

[tex] : \implies \sf f( - 9) = [2 \times( { - 9}^{2} )]-[ 5 \times - 9] - 20[/tex]

[tex] : \implies \sf f( - 9) = 2 \times 81 + 45 - 20[/tex]

[tex]: \implies \sf f( - 9) = 162 + 45 - 20[/tex]

[tex] : \implies \sf f( - 9) = 207 - 20[/tex]

[tex]: \implies \bf f( - 9) = 187[/tex]

The surface area of a right circular cone is 24π in.. The cone is enlarged by multiplying both the radius of the base and the slant height by 2. What is the surface area of the new cone?

A. 48π in.
B. 72π in.
C. 96π in.
D. 192π in.

Answers

Answer:

c 96

Step-by-step explanation:

i took the test hope this helps

The Answer is: C 96?

PLEASE HELP!!Mathematically, when you square root a number, you
will get 2 solutions.
Sometimes True
Always True
Or Never True
Explain your thinking.

Answers

im pretty sure its sometimes because not every square root has two solutions but a square root for x2 =49 has two solutions
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