Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21
,n>2

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

1. 12

2. 15   [3*12-21 = 15]

3. 24  [3*15-21 = 24]

4. 51   [3*24 - 21 = 51]


Related Questions

What is the value of the expression 7m - 9 when m=4

Answers

Answer:

24

Step-by-step explanation:

7m - 4

7(4) - 4

28 - 4

24

Therefore, the value of the expression 7m-4 when m=4 is 24

Question Help
At a basketball game, a team made 51 successful shots. They were a combination of 1- and
2-point shots. The team scored 83 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were 2-point shots and 1-point shots.

Answers

Answer:

19 1-point shots and 32 2-point shots

Step-by-step explanation:

Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...

x+y=51

x+2y=83

We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.

-y=-32

Divide both sides by -1

y=32

Plug this back into the equation to solve for x

x+32=51

Subtract 32 from both sides

x=19

They scored 19 1-point shots and 32 2-point shots.

How many solutions are there?

Answers

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

Simplify this expression: 2x³ × 3xy²​

Answers

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

-Brainliest
please help
ignore the selected option in q1

Answers

Answer:

D.  17,15,13,11

Step-by-step explanation:

The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result.  We know that for n = 1 that f(1) = 17.

f(n) is f(n-1) - 2

so

f(2) = f(1) - 2

f(2) = 17 - 2 or 15

f(3) = f(2) - 2

f(3) = 15 - 2 or 13

f(4) = f(3) - 2

f(4) = 13 - 2 or 11

 . . . .

 . . . .

 . . . .

and so on.

Answer:

D and B

Step-by-step explanation:

using the recursive formula and f(1) = 17 , then

f(2) = f(1) - 2 = 17 - 2 = 15

f(3) = f(2) - 2 = 15 - 2 = 13

f(4) = f(3) - 2 = 13 - 2 = 11

first 4 terms are 17, 15, 13, 11 → D

-------------------------------------------------------

Using the recursive formula and f(1) = 5 , then

f(2) = 4f(1) = 4 × 5 = 20

f(3) = 4f(2) = 4 × 20 = 80

f(4) = 4f(3) = 4 × 80 = 320

first 4 terms are 5, 20, 80, 320 → B

Please answer as quickly as possible! (50 points)

Answers

Answer:

last one, x>-2.5

Step-by-step explanation:

what fractions could be used to represent the whole numbers on this number line? Explain your reasoning ​

Answers

Answer:

3/3, 6/3, 18/6, 32/8, 25/5

Step-by-step explanation:

You can do many different combinations but that is just one combination you can do that equals 1, 2, 3, 4, and 5.

Yosemite Falls, the highest waterfall in the United States, is actually made 1 up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite Falls is 80 feet more than twice the Middle Cascades Falls. The entire set of waterfalls is 2425 feet long. Which equation models this situation?​

Answers

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

Solve for k in the following equation: E = 2kn​

Answers

Answer:

(E/2)/n = k

So when doing this you have to isolate K since your solving for “k”.

In order to do this you have to perform the inverse of every variable or number in order to isolate K.

In this case you divide 2 and then N.

I don’t understand this help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

Rewrite the given equation as b^(2x) = b^8.

The exponents 2x and 8 must be equal, and so 2x = 8, and x = 4

please help I have no idea what to do​

Answers

Answer:

2p^2 - 1p - 8     GCF= 2p

Step-by-step explanation:

The GCF of the following equation can be written as 2p.

So with this information, we can solve the equation.

2p^2 - 1p - 8

Let me know if I am correct.

One penny is one hundredth of a dollar. If I have 33 pennies, what fraction of a dollar do I have? Convert the fraction to a decimal

Answers

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

A refrigerator was bought for rupees 15000 it was sold on 2% loss find the selling price of the refrigerator.​

Answers

Cp = 15000

L % = 2 %

First Let's find loss :

L % = (L/CP) × 1002 = (L/15000) × 1002/100 = L/150001/50 = L / 150001/50 × 15000 = L1/5 × 1500 = LL = 300

Final equation:

L = Sp - Cp300 = Sp - 15000Sp = ₹15300

I am pretty lazy to use latex adjust with it xD

Answer:

wait a minuate which school you study i study in indian school salalah

What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)

Answers

Answer:

Equation is Y=x/2

Step-by-step explanation:

Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2

this work is due on monday lol im colse to being done

Answers

Answer:

1/2x

Step-by-step explanation:

It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

? X 3= 6

3 X 3= 9

?= 6/3

?= 2

please mark as Brainliest

Answer:

2

Step-by-step explanation:

6 multiply by 3 to give 18

9 multiply by question mark we represent the question mark with x

so 18 divided by 9 gives 2

a gardener uses a triangular prism shpapped clay pot to plant flowers. the triangular base is 3 units along the base and 5 units high. the pot has a height of 26 units. what is the volume

Answers

The volume of the triangular prism clay pot is 195 unit³

Volume of a triangular prism:v = BH

where

B = base area

H = height of the prism

Therefore,

Base area = area of a triangle

area of a triangle = 1 / 2 × base × height

Therefore,

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

Therefore,

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

learn more on triangular prism here: https://brainly.com/question/16537585

Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply.

(0,5)

(5,-6)

(3,-2)

(2,2)

Answers

Answer: A B C

Step-by-step explanation:

Solve each system of equations using the elimination method

3x+8y=2
4x-2y=-10

Answers

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

9f+7f i need the answer pleaseeeee

Answers

Answer:

it's either 32 or 16f I don't know though

Answer:

16f

Step-by-step explanation:

We can combine like terms here by adding the coefficients:

9f + 7f = (9+7)f = 16f

given the diagram below, what is COS(45º)?

Answers

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Answer: Choice C

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]

the sum of the length breadth and height of a cuboid is 19cm and length of its diagonal is 11cm find surface area of LSA

Answers

Hence, the surface area of the cuboid is 240 cm2.

Solve for y.
y = 2x + 3

Answers

Answer:

what is x then i can say

Step-by-step explanation:

?????????????????????? i dont gets it

Otherwise its already simplified.

Lorna earns ₱ 214.50 per hour at her baby-sitting job. On Saturday she worked 8 hours. What were her total earnings for the day?

Answers

Answer:

The answer is 1716

Step-by-step explanation:

214.50x8=1716

Explain why it might be important to be able to work with and manipulate fractions when working in construction.

Answers

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

What is the value of the expression 2/3 -5/6 over 3/4?

Answers

- 2/9

Step-by-step explanation:

(2/3 - 5/6)÷3/4

we'll first sort out the first part by equalizing denominators

(2/3 × 2/2) - 5/6 = 4/6 - 5/6 = -1/6

dividing by fraction is The Same as multiplying by it's inverse

= - 1/6 × 4/3 = - 4/ 18 = -2 × 2 = - 2/9

----------

2 × 9

does anyone know 8g–4g+10g ??

Answers

Answer:

14g

Step-by-step explanation:

Combine like terms

8g–4g+10g = (8-4+10)g = (4+10)g = 14g

Hi!

I can help you with joy!

Solve by Combining Like Terms:

[tex]\bold{8g-4g+10g}[/tex]

[tex]\bold{4g+10g}[/tex]

[tex]\bold{14g}~(\text{Answer})[/tex]

Hope it helps!

Enjoy your day!

Ask me if you have any doubts.

~Misty~

David grew 35
bananas and 46
strawberries in his
garden. If he
wanted to use
these fruits equally
to make a
smoothies, how much fruit would go
into each smoothie?

Answers

46 - 11

35 fruits will go into each smoothie

Answer:

same as the above

Step-by-step explanation:

Hope this answer helps you

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1. 12p. Using this information, which of the following represents the final price of a gaming system, with the discount and taxes applied? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answers

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

What is composite function?

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

https://brainly.com/question/10687170

Kathrine makes bracelets at a rate represented by a algebraic equation y=4× where x is the number of days, and y is the total number of bracelets made. Katherine also makes necklaces at the rate shown in the graph. How many more days will it take katherine to make 20 necklaces than it will take her to make 20 bracelets?​

Answers

Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

What is an Algebraic Equation?

An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.

Thus:

y = 4× represents the rate Kathrine uses to make bracelets, where,

x = number of days

y = total number of bracelets made

Find the number of days (x) it takes to make 20 bracelets.

Substitute y = 20 into y = 4x:

20 = 4x

20/4 = x

x = 5 days.

Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.

Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.

10 = k(4)

10/4 = k

k = 2.5

The algebraic equation for rate of necklace made is: y = 2.5x

Number of days Kathrine will use to make 20 necklaces would be:

20 = 2.5x

20/2.5 = x

x = 8 days.

Number of days to make 20 bracelets = 5 days

Number of days to make 20 necklaces = 8 days

In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

Learn more about algebraic equations on:

https://brainly.com/question/2164351

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