Tom and Katie are discussing the sequence: 22, 17, 12, 7, 2
Tom says the nth term rule is: -5n+17
Katie says the nth term rule is: 27-5n

A)Only Tom is correct
B)Only Katie is correct
C)They both are correct
D)Neither are correct

Answers

Answer 1

Answer:

B

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 22 = 12 - 17 = 7 - 12 = 2 - 7 = - 5

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and d = - 5, then

[tex]a_{n}[/tex] = 22 - 5(n - 1) = 22 - 5n + 5 = 27 - 5n → B


Related Questions

 examples on how you use is mathematics inside or outside of school

Answers

Homework, discounts at the grocery store, number of items

y=2x+1
y=4x-1
SHOW YOUR WORK PLEASE

Answers

Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

=

−2

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.

Answers

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42

Solve the inequality: x/-3 < -10

Answers

Answer:

x>30

Step-by-step explanation:

x/-3<-10

x<-10*-3

x<30

x>30

Answer:

x > 30

Step-by-step explanation:

Multiply both sides by -3:  This results in x > 30.  Note that the direction of the inequality sign has been reversed, as is required when we multiply or divide an inequality by a negative number.

Someone plz help me I will give brainliest

Answers

Answer:

2.25x2+2x1.00+1.50=8, 10-8 =$2.00

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

whats a reasonable estimate for 529 divided by 23 ( explain your anwser )

Answers

Step-by-step explanation:

First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.

Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.

Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.

solve the equation m-n=4p for m.​

Answers

Answer:

You just need to move m in the first part of the equation, changing the signs when necessary.

M=4p +n

N becomes positive because it has been moved

Pls mark as brainliest

Answer:

m=4p+n

Step-by-step explanation:

Find the value of k that makes each statement true.

Answers

Answer:

k=7

ahdaursitditncnckfififigigi

i ready grade 8 math classroom

please help asap!!!!

Answers

Answer:

use tiger math and use the camera feature it shows steps also I know teachers can be a pain in the butt i go to high school this year so yeah

PLEASE HELP


Meryl buys new baseball equipment for $2000. The purchase made is with a credit card that has a 19% APR. Meryl makes a $150 payment monthly. How many months will it take Meryl to pay off the balance?

Answers

Answer:

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

please help me with this quadratic equation question..... I will give brainliest if you answer​

Answers

A) Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

P= 3x^2/6x—1

Which equation has the same solution as x^2+10x+9 = 4

Answers

To factor you must play with factors which multiply to
9

(
1
×
9
,

3
×
3
,

9
×
1
)
(
x

9
)
(
x

1
)
=
0
Now, solve each factor for
0
:
x

9
=
0
x

9
+
9
=
0
+
9
x

0
=
9
x
=
9
and
x

1
=
0
x

1
+
1
=
0
+
1
x

0
=
1
x
=
1

Natalia went to the deli and ordered 1/2 pound of sweet ham, 5/6 pound of roast beef, and 2/8 pound of smoked chicken. How many pounds of meat did she order? *

Answers

Answer:

the answer is 1 and 7/12

Step-by-step explanation:

What is the answer please

Answers

Answer:

RVS is equal to 180 - 26 degrees, or 154 degrees.

Bonus: I assume the next part of the question asks you to solve for x, where x is equal to that angle.  If so, then the answer is 15:

154 = 10x + 4

150 = 10x

x = 15

HELP ME PLZ WILL GIVE BRIANLY

Answers

Answer: 82 students

78+4=82

haha

Answer:

82

Step-by-step explanation:

The coefficient in the expression 3x - 5 is​

Answers

Answer:

coefficient can be taken of a particular number or variable not a whole expression

Step-by-step explanation:

this may help you

coefficient of x is 3

hope it helps you

please mark me as brainlist

A coefficient is a constant multiplied by a variable or variables ( which is a symbol, example “x”).

So in this equation the coefficient is 3

2. Complete the function
table using the rule
y = x + 4.5

Answers

Answer:

Step-by-step explanation:

Given function is,

y = x + 4.5

To complete the input-output table given in the picture we will substitute the values of x in the function rule,

For x = 1,

y = 1 + 4.5

y = 5.5

For x = 3

y = 3 + 4.5

y = 7.5

Therefore, complete table will be,

x         0          1          2         3        

y        4.5       5.5      6.5      7.5

how many ml in 2 cups of milk​

Answers

473.176 millilitres in 2 cups

Need h e l p it's Algebra

Directs they put for me:

1 STEP EQUATIONS: Solve each equation
_____________________________________

(Answer All Correctly)

(Best Answer get brainliest)

-I give : Brainliest,Thankyou's,Star Ratings-

Answers

Answer:

5)216

6)18

7)5

8)-11

Step-by-step explanation:

love the pfp

Answer:

x=216

n=18

m=5

x=-11

Step-by-step explanation:

12= x/18

Can also be written as 12=x÷18. Multiply each side by 18 to isolate x and to find the value of x.

This will cause the equation to look like 12×18=x÷18×18. This will eliminate 18 from the right side of the equation and for 12×18 to equal 216. After simplifying it will equal:

x=216

3=n/6

Can also be written as 3=n÷6. Multiply each side by 6 to isolate n in order to find the value of n.

This will cause the equation to look like 3×6=n÷6×6. After simplifying the equation by causing the 6 on the right side of the equation to cancel out and multipyling 3 and 6 together, it will equal:

n=18

-10=m+(-15)

Add 15 to each side of the equation to find the value of m.

This will cause the equation to look like -10+15=m+(-15)+15. This will cause the 15s on the right side of the equation to cancel out and for the left side of the equation to equal 5. After doing this, the equation will equal:

5=m

-7+x=-18

Add 7 to each side of the equation to isolate x in order to find the value of x.

This will cause the equation to look like -7+7+x=-18+7. This will cancel out the 7s on the left side of the equal and the right side of the equation will equal -11. After using these steps to simplify, the equation will equal:

x=-11

Can yall help me, please? I Will give brainilest, however u spell it
Which of these best describes π?
The ratio of the radius of a circle to its diameter
The radius of a circle times 3.14
The ratio of the circumference of a circle to its diameter
The ratio of the diameter of a circle to its radius

Answers

Answer:

B. The ratio of the circumference of a circle to its diameter.

Step-by-step explanation:

Pie is the circumstance of a circle.

Use the following function rule to find f(1).
f(x) =4(4)4^x+1
f(1)=.......

Answers

83837373hdhdhdjsjsjjsjsjdjdjd

Answer:

f(1)=65

Step-by-step explanation:

Can someone pleaseeee help and if you’re correct I’ll give u brainlist!

Answers

The answer is 39 haha

Step-by-step explanation:

who wouldnt know that its 39 duh

Add the expressions (5x2y3z)and(-7x2y3z).
A.-12x2y3z
B.-2x2y3z
C.2x2y3z
D.12x2y3z​

Answers

Answer:

B

Step-by-step explanation:

PLZ HELP I WILL GIVE BRIANLY!

In a school, 4 out of every 7 students are girls. if there are 84 students at the school, how many are boys. AND SHOW WORKING​

Answers

Answer:36

Step-by-step explanation:

[tex]\frac{4}{7} =\frac{48\\}{84}[/tex]

for every 7 students there are 4 girls, so for every 84 there must be 48

7*12=84

4*12=48

so, in all 84 students there are 48 girls

so amount of boys=84-48=36

there are 36 boys

three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.

Answers

Answer:

6.7491, 6.7524, 6.7463

Step-by-step explanation:

Identify a, b, and c in the quadratic expression
9 + 6x2 – 5x

Answers

Answer:

wsz=23

Step-by-step explanation:

Answer:

a=6x^2

b=-5x

c=9

Step-by-step explanation:

The fee that a driver pays to have automobile insurance is called a deductible
o
A. True
B. False

Answers

true is the correct answer

Alvin's age is three times Elga's age. The sum of their ages is 104. What is Elga's age?

Answers

Answer: Alvin is 78, Elga is 26

Step-by-step explanation:

Let's first start by naming the variables:

a = Alvin's age

e = Elga's age

a = 3e

a + e = 104

substitute a (in the second equation) as 3e

3e + e = 104

4e = 104

e = 26

Substitute e as 26 into either equation

a = 3(26)

a = 78

i like fire i like to watch things burn

can anyone agree

Answers

Answer:

i like to melt straws with my lighter and make it into different shapes

Step-by-step explanation:

Answer:

sameeeeee

Step-by-step explanation:

write the expression that represents y increased by 5%

Answers

Answer:

y·1.05

Step-by-step explanation:

5% = 0.05
since it’s increasing do 1 + 0.05
= 1.05
y=1.05x
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