Mathematics High School

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 4x-7y=3
x-7y=-15

Answers

Answer:

0 i think if im wrong im sorry

Step-by-step explanation:

Answer:

The answer is x=6, y=3

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15

Simplify.

−4x+7y=−3x−7y=−15

Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18

Divide each term by −3 and simplify.

x = 6

Substitute the value found for x into one of the original equations, then solve for y.

y = 3

The solution to the independent system of equations can be represented as a point.(6,3)

The result can be shown in multiple forms.

Point Form: (6,3)

Equation Form: x=6, y=3

60 POINTS!!!!

Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?

Explanation would be appreciated!

Answers

Let r represents our age, m mother's age, f father's age. If mother is 25 years older than us, I+ 25 = m

If father is 3 years older than mother,

m +3 = f

The product of all three ages is 32130:

I-m.f = 32130

Substitute m with r+ 25:

m+3 =f r+ 25 + 3 = f r+ 28 = f

Substitute now f and m:

I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130

Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0

On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45

Our age is 17, Mother's age is 42 and father's age is 45.

Father’s age is 45

( sorry I know it’s too long but hope it helps )

My father is 42 years old as obtained from the cubic polynomial's real root.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

∴ {x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

learn more about cubic polynomials here :

https://brainly.com/question/28081769

#SPJ2

Which net represents this solid figure?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The second net.

Step-by-step explanation:

how do i find a slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m

To find the slope in two points (x1,y1) (x2,y2) follow this formula

y2-y1/x2-x1

For example: Find the slope of (4,9) and (9,19)

19-9/9-4 Which is 10/5 simplify: 2

The slope is 2

Step-by-step explanation:

Solve for all values of c in simplest form.
|4-c| = 7

Answers

Answer:

Step-by-step explanation:

|4-c| = 7

4-c = ±7

c = 4 ∓ 7 = -3, 11

c=3
explanation: 4-3 is equal to -7 and those lines make the number positive

Someone please help me with this I’m on the verge of crying

Answers

Answer:

848.23

Step-by-step explanation:

hope this got you the right anwser

Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.

Answers

Answer:

108

Step-by-step explanation:

If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.

Answer:

a

Step-by-step explanation:

18 divded by 6 is 3

PLEASE HELP ASAP THIS IS MY LAST QUESTION

Answers

X=2.6 please give brainly

PLEASE HELP PLESAE!!!!!!
Evaluate the expression when b=6 and y =-7

-b+9y

Answers

Answer:

-69

Step-by-step explanation:

Question please answer thanks if you do

Answers

Answer:

Radius = 6 ft

Diameter = 12 ft

Circumference = 37.7 ft

Step-by-step explanation:

The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.

Radius = 6 ft

The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.

6*2=12

Diameter = 12 ft

The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:

[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter

Plug the diameter (12) into the equation

[tex]C=\pi (12)\\C=37.7[/tex]

(This answer is approximate)

Circumference = 37.7 ft

I hope this helps!

الأولى متوسط
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الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
»
) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)

Answers

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

can somebody help? marking brainliest:)

Answers

Answer:

23/16

Step-by-step explanation:

23/16+1/16=24/16=3/2

what do girls do that turn u on? guys i need help pls, i’m a girl loll ;)

Answers

Answer:

that depends tbh

Answer: umm well... i answer for the council of boys and your answer is  basically anything XD

Step-by-step explanation:

have a good day lad :)

simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)

Answers

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

Solve for the quotient 8498 / 70

Answers

Answer:

121.4 is the answer ❣️

Answer:

The answer I got is 121.4

calculate p² +3q when p=2 and q=2​

Answers

Answer:

10

Step-by-step explanation:

p² +3q

= 2² +3*2

=4 + 6

=10

Answer:

10

Step-by-step explanation:

2² +3*2=4+6=10

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
per year. What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

1. In a karate class there are 22 students. 15 of the students are male. What 6 is the ratio of females to the total number of students?
22:15
15:22
7:22
7:15​

Answers

Answer:

15:22

the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:

can someone help meeee

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

For an angle with measure x in a right triangle, sin x = 112/113
and tan x = 112/15. What is the value of cos x?

Answers

Answer:

cosx=Adj/hyp

cosx=15/113

Find (fxg)(a)?thanks !!

Answers

Answer:

12a^2+13a+3

explanation:

multiply:

(3a+1)(4a+3)=(fxg)

12a^2+13a+3

a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Answers

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

Write three hundred eighty-seven thousandths as a decimal number.
​

Answers

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

The triangles are congruent by




1. AAS


2. ASA


3. SSS

Answers

Answer:

the triangles are congruent by ASA.

Loan: Ross borrows $5625 to buy a car. He pays back $125 each month. The equation y = 5625 - 125x represents that amount Ross owes y after x months.
A. Find the x and y-intercepts and interpret their meaning in the context of the situation.
The x-intercept is _____. This means that after ____ months, Ross will owe $____. The y-intercept is _____. This means that Ross initially owed $_____.
B. Graph the equation using the intercepts.

Answers

Answer:

Ross initially owed 5625. the y intercept is 0,3500. Part of the answer.

There are x and y-intercepts that would be  5625 and 45 respectively for the given equation.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Ross borrows $5625 to buy a car. He pays back $125 each month which is given in the question.

The equation y = 5625 - 125x represents the amount Ross owes y after x months

⇒ y = 5625 - 125x

To determine the y-intercepts of the equation,

We have to substitute x = 0 in the equation

⇒ y = 5625 - 125(0)

⇒ y = 5625

To determine the x-intercepts of the equation,

We have to substitute y = 0 in the equation

⇒ 0 = 5625 - 125x

⇒ 125x = 5625

⇒ x = 45

Hence, there are x and y-intercepts that would be  5625 and 45 respectively for the given equation.

Learn more about the equation here:

brainly.com/question/10413253

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help me out I will gave points​

Answers

Answer:

c

Step-by-step explanation:

f (x) = 13[tex]\sqrt[3]{x}[/tex] power function yes or no
if yes where is k and p

Answers

Answer:

f =

x = 13 = x

k = x

p = x

Step-by-step explanation:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

Find ratio of 14 and 35​

Answers

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

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