1. Below are four sequences. Which of them represent an arithmetic sequence?
1.8, 12, 14, 15, ...
11. 2, 4, 8, 16 ...
III. 5, 5, 5, 5...
IV. -101,-99, -97, -95, ---
A. II only
B. IV only
C. I and III
D. II and IV

Answer:

y = 1/2x-5

Explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 1/2, which is the slope you gave, and  replace b with -5, the y-intercept you gave,  in the equation y=mx+b. And you will get y = 1/2x-5

Answer:

The no. are 11 and 12

Step-by-step explanation:

n(n+1)=17+5(2n+1)

n^2 +n=17+10n+5

n^2 -9n-22

Splitting the middle term

n^2 -11n+2n -22

n(n-11)+2(n-11)

(n-11)(n+2)

As n cannot ne negative,

n=11 and 12(consecutive no.)

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The two of the consecutive positive integers whose product is 17 more than 5 times their sum are 11 and 12.

An integer is a complete number, therefore, not including the decimals and fractions. And it that can be either positive, negative, or zero.

Integer examples include -5, 1, 5, 8, 97, and 3,043.

Non-integer numbers include: -1.43, 1 3/4, 3.14, and more.

Let the first of the two consecutive integers be represented by x. Then, the other number can be written as (x+1).

Now, the product and the sum of the two numbers can be written as,

Product = x(x+1) = x² + x

Sum = x + (x+1) = 2x + 1

Further, it is given that the product of two consecutive positive integers is 17 more than 5 times their sum. Therefore, we can write,

x² + x = 17 + 5(2x + 1)

x² + x = 17 + 10x + 5

x² + x - 17 - 10x - 5 = 0

x² - 9x - 22 = 0

x² - 11x + 2x - 22 = 0

x(x - 11) + 2(x - 11) = 0

(x - 11)(x + 2) = 0

x = -2, 11

Thus, there are two numbers that can fulfil the given condition but since it is mentioned that we only need two positive consecutive integers. Therefore, the two numbers are 11 and 12.

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Answer:

Answer:B AND E ARE CORRECT

Answer:B AND E ARE CORRECTStep-by-step explanation:

WE'RE SIMPLY COMPARING TWO SIMILAR SIDES OF THE FIQURES. NOTE: the pattern must be the same I mean if we start with the larger figure being on top then that is how the rest comparisons should follow. I hope this will help!

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

Answer:

y=mx+c

we will find c

0=(-2)(-2)+c

c=-4

y=-2x+(-4)

y=-2x-4

2x+y+4=0

Answer:

1. 12-(-6)+7+(-8)=  17

2. 14+(-6)-(-8)+5=  21

3. -9-8+15+(-3)= ​ -5

hope i helped!

Step-by-step explanation:

Answer:

g = 7

Step-by-step explanation:

Follow the attachment.

Solving four less than the product of eight and the number g is equal to ten more than g is equal t0 2.

To write the word sentence as an algebraic equation:

In this exercise, we are required to translate the word sentence into a mathematical (algebraic) expression and solve for the unknown variable (number):

Four less than the product of eight and the number g:

[tex]8g-4[/tex]   ....equation 1.

Ten more than g:

[tex]g+10[/tex]   ...equation 2.

Equating the two equations, we have:

[tex]8g-4=g+10\\\\8g-g=10+4\\\\7g=14\\\\g=\frac{14}{7}[/tex]

g = 2

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Mat A has more cmvalue because b is filled with negative

|| ▼ Answer ▼ ||

The average rate of change per year from 1 to 5 is 8inches

Step-by-step explanation:

Given

[tex]h=t^{2}+2t+10[/tex]

The average rate of change = [tex]\frac{h(5)-h(1)}{5-1}[/tex]

Now h(5)

[tex]\boxed{h(5)=-5^{2}+2(5)+10 }[/tex]

[tex]\boxed{h(5)=25+10+10}[/tex]

[tex]\boxed{h(5)=45}[/tex]

Now, h(1)

[tex]\boxed{h(1)=-1^{2}+2(1)+10}[/tex]

[tex]\boxed{h(1)=1+2+10}[/tex]

[tex]\boxed{h(1)=13}[/tex]

[tex]\boxed{Average~change~rate=\frac{h(5)-h(1)}{5-1} }[/tex]

[tex]\boxed{Average~change~rate=\frac{45-13}{5-1}=\frac{32}{4}=8 }[/tex]

The final answer

The average rate of change per year from 1 to 5 is 8 inches

Hope this helps!

If you have any questions please ask.

Answer:

no 8x is the no a questions

Answer:

x3 − 2x + x3  ⇒ cubic

4x2 − 6x − 8x2  ⇒ quadratic

6x − 6 + 6x  ⇒ linear

5 + 4x2 − 4x2 + 5  ⇒ constant

Step-by-step explanation:

For the other question its

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

x3 + 3x3 + 2x  ⇒ binomial

2x3 + 5x + 3x4 − x  ⇒ trinomial

4x − 5x + x − 2  ⇒ monomial

6x2 + 5 − 2x2 − 9  ⇒ binomial

The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

Answer:

c 9y +63

Step-by-step explanation:

9times y is 9y and 7 times 9 is 63

Answer:

Add [tex]\frac{2}{3}[/tex] to both sides.

Step-by-step explanation:

[tex]x - \frac{2}{3} = \frac{5}{6}\\\\x - \frac{2}{3} + \frac{2}{3} = \frac{5}{6} + \frac{2}{3}\\\\x = \frac{3}{2}[/tex]

Answer:

Pretty sure it is A. y = -2x - 1

Step-by-step explanation:

y = mx + b

m is slope

b is y - intercept

y-intercept = point where line intercepts the y - axis. in this graph, it intercepts at (0, -1)

by counting the squares, you see this line has a rate of change of up two left one which is 2/-1 or -2. that is the slope

your photo is super blurry so it's hard to tell, but i'm 99% sure i am correct.

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

We need to find the slope-intercept equation of the line.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

The coordinates of the line (-1, 1) and (1, -3).

The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now, m=-3-1/1+1=-2

Substitute m=-2, x=-1 and y=1 in y=mx+b.

That is, 1=-2(-1)+b⇒b=-1

So, y=-2x-1

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

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Answer:

39 feet

Step-by-step explanation:

The equation of the path of the book is an upside down parabola.

We can find the x-coordinate of the vertical axis.

The x-coordinate of the maximum point is

x = -b/2a

for a parabola written in the following form

f(x) = ax² + bx + c

We have -16t² + 24t + 30, so we have

a = -16

b = 24

c = 30

t = -b/2a = -24/(2 × (-16)) = -24/(-32) = 0.75

The maximum height occurs at time = 0.75 seconds.

Now we plug in the time into the equation to find the maximum height.

h(x) = -16t² + 24t + 30

h(0.75) = -16(0.75)² + 24(0.75) + 30

h(0.75) = -9 + 18 + 30

h(0.75) = 39

Answer: 39 feet

Answer:

false

Step-by-step explanation:

if x equals 5 then 4 times 5 would equal 20 not 19

Answer:

False

Step-by-step explanation:

Because if we subsitute x as 5.

4x = 19

4(5) = 19

20 = 19

4 times 5 equals 20, not 19. Therefore it is false.

Answer:

هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة

Step-by-step explanation:

هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة

Answer:

25.3 feet per second

Step-by-step explanation:

First, let's find how much did she go down in those 3 seconds.

266-190=76

Now, let's divide 76 by 3 to find how much did she go down in 1 second

76/3=25 R1

Now, let's change 25 R1 to a Fraction.

25 remainder 1 to fraction will be 25[tex]\frac{1}{3}[/tex]

Now, let's find the decimal answer

25[tex]\frac{1}{3}[/tex] will be 25.33(33333)

Now, let's round our answer to the nearest tenth

25.33

so, 3 is closest to 0 not to 10

So hence, our answer is 25.3

So, the submarines elevation was changing at a rate of 25.3 feet per second

Thanks!

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Answer:

PV= $5,483.45

Step-by-step explanation:

Giving the following information:

Semiannual deposit= $450

i= 0.068/2= 0.034

Number of periods= 8*2= 16

First, we need to calculate the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= semiannual deposit

FV= {450*[(1.034^16) - 1]} / 0.034

FV= $9,362.30

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 9,362.30 / 1.034^16

PV= $5,483.45

Answer:

I think it's A, but I'm not sure :)

Answer:

D.) He doesn't know how to download music.

Answer:

7 R 95

for this case, how many times does 99 go into 788? 0, because you must convert 78 to the tens place.

78 - 0 = 78

Drop the 8 from the zeros place.

How many times does 99 go into 788? 7(693)

788 - 693 = 95

▬▬In The End▬▬

The answer is 7, because that is the number on top, the result of the division is called the remainder.

Use mid term splitation

[tex]\\ \rm\rightarrowtail 21x^2-55x+14[/tex]

[tex]\\ \rm\rightarrowtail 21x^2-49x-6x+14[/tex]

[tex]\\ \rm\rightarrowtail 7x(3x-7)-2(3x-7)[/tex]

[tex]\\ \rm\rightarrowtail (7x-2)(3x-7)[/tex]

Done!

Answer:

Step-by-step explanation:

Note the x^2 term, 21 can be divided up into 1,3,7,21

and the constant term, 14 is divisible by 1,2,7

Also, note that -55 = -7*7 - 2*3

Break up 21x^2 into 7x*3x and -55x into -49x - 6x,

21x^2 - 55x + 14

= ((7x*3x) - 49x) - 6x + 14

= 7x*(3x - 7) - 2*(3x -7)

= (7x - 2)*(3x - 7)

Answer:

C=5

Step-by-step explanation:

3^ + 4^2 = 25

and the square root of 25 is 5 therefore C=5

Step-by-step explanation:

I hope you understand...