Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

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Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

Both EI and EG are 20 units long when y = 10. This confirms the answer.

Answer:

3x³

Step-by-step explanation:

Given the expression

12x^5 =(4x^2 )(C)

We are to find the value of C

Rewriting the equation will give;

(4×3)x²•x³ = 4x²C

4x²•3x³ = 4x²C

Divide both sides by 4x²

4x²•3x³/4x² = 4x²C/4x²

3x³= C

Hence the function C is 3x³

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Answer:

92

Step-by-step explanation:

161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)

Answer:

x=92

Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)

x = 3

Divide each term by  3  and simplify.

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

https://brainly.com/question/29153656

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Answer:

its either b or d

Step-by-step explanation:

b or d is the answer

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

Read more about equations at:

https://brainly.com/question/2972832

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Answer:

3 and 7

Step-by-step explanation:

1a. closest to 1

b. closest to 0

2a. closest to 1

b. closest to 1/2

Numb 3. Ain't clear.

4. Not sure.

5a. closer to 1

b.closer to 1/2

c. 3/4 - 5/12 = 1/3

6. 26/15

7. 7/18

8. 47/240

9. 191/225

10. 11/60

11. 81/200

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

total = green marbles + red marbles + blue marbles

55 = 15 + 12 + blue marbles

55 = 27 + blue marbles

55 - 27 = blue marbles

28 = blue marbles

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30

Answer:

B) $16

Step-by-step explanation

Answer:

18 racers finished.

Step-by-step explanation:

In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

Answer:

the answer is 22

you can put it on a calculator

Answer:

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.

[tex]\frac{2}{3}[/tex] ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y