another sequence is defined by a term to term sequence where k and r are constants
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Another Sequence Is Defined By A Term To Term Sequence Where K And R Are ConstantsSEE IMAGE BELOW

Answers

Answer 1

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[tex]U(n + 1) = kU(n) + r[/tex]

_________________________________

[tex]n = 1[/tex]

[tex]U(1 + 1) = kU(1) + r[/tex]

[tex]U(2) = k \times U(1) + r[/tex]

[tex]188 = k \times (37) + r[/tex]

[tex]37k + r = 188 \: \: \: (( \alpha ))[/tex]_________________________________

[tex]n = 2[/tex]

[tex]U(2 + 1) = kU(2) + r[/tex]

[tex]U(3) = k \times U(2) + r[/tex]

[tex]943 = k \times (188) + r[/tex]

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

_________________________________

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

[tex]37k + r = 188 \: \: \: \: \: (( \alpha ))[/tex]

[tex](( \beta )) - (( \alpha )) = [/tex]

[tex]188k - 37k + r - r = 943 - 188 \\ [/tex]

[tex]151k = 755[/tex]

Divide sides by 151

[tex] \frac{151k}{151} = \frac{755}{151} \\ [/tex]

[tex]k = 5[/tex]

Put the value of k in one of the equations to find the r :

[tex]37k + r = 188[/tex]

[tex]37 \times (5) + r = 188[/tex]

[tex]185 + r = 188[/tex]

[tex]r + 185 = 188[/tex]

Subtract sides 185

[tex]r + 185 - 185 = 188 - 185[/tex]

[tex]r = 3[/tex]

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Related Questions

A line has a slope of 3/2 and has a x-intercept of 2 . What is the y-intercept of the line?

Answers

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute the x- intercept (2, 0 ) into the partial equation

0 = 3 + c ⇒ c = 0 - 3 = - 3 ← y- intercept

what is the value of x?

Answers

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

ms.kirklan is baking muffins.each batch of muffins use 3/4 of a pound of flour. How many batches of muffins can she bake with 5 pounds of flour

Answers

6 full batches.

Divide 5 by 3/4 (or .75 for a calculator)
You get 6.667
Round down
6

Good luck!

The number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

Given that, Ms.Kirklan is baking muffins. Each batch of muffins use 3/4 of a pound of flour.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

We need to find the number of muffins she can bake with 5 pounds of flour

Now, 5 ÷ 3/4

= 5 ÷ 0.75

= 6.6

≈ 7

Hence, the number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

To learn more about the unitary method visit:

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Given p(x)=2x^3-3x-5 what is the value of p (-2)

Answers

Answer:

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Step-by-step explanation:

Given polynomials is:

[tex]p(x) = 2x^3-3x-5[/tex]

We have to find p(-2)

This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2

[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]

Hence,

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

what is f(x) = 0,5 (x-3)( x-5) in general form??​

Answers

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]

Which statement regarding the diagram is true?

m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°

Answers

Answer:

b. m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

right on edge

The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture:

As we know, triangle is a polygon with three sides and three interior angles.

From the definition of the triangle, The triangle's interior angles add up to 180°

m∠MKL + m∠MLK + m∠KML = 180

Also, the sum of the two interior angles is equal to the exterior angle.

m∠KML + m∠MLK = m∠JKM

Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

Learn more about the triangle here:

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Every 2.5 hours, a machine produces 150 baskets.



What is the unit rate of this proportional relationship? (Hint: You are trying to find how many baskets in one hour.)


60 baskets per hour
60 baskets per hour

2.5 baskets per hour
2.5 baskets per hour

25 baskets per hour
25 baskets per hour

16.6 baskets per hour

Answers

Answer:

60

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

h = 60

& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21​

Answers

Answer:

a) 14/ 29

b) 4/11

Step-by-step explanation:

x = 5

Please help I will give brainliest to first person who answers!

Answers

Answer:

71 degrees

It's the measure of angle 1.

-10 + 4


plz heeeeeelp

Answers

Answer:

-6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

What is the slope of the line through (0,5) and (-2,-1)?

Answers

Answer:

c

Step-by-step explanation:

the slope is 3

Your answer is C

Rise over run. You rise 3 points to get to the other, and run over one. Hope this helps.

Which equation represents a proportional relationship?

a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1

Answers

I am not certain but I think c? if its wrong sorry

Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.

Answers

I am going to assume that the equation was supposed to be  [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

PLEASE HELP:(........thank you

Answers

Answer:

the answer is C

Step-by-step explanation:

what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

The graph shows the membership of a student group: x represents the number of years since the group was formed and y represents the number of members.


The equation is y = 14x + 10.


Which is true regarding the slope?

Membership grows by 14 each year.

The group was formed with 14 members.

Membership is recorded every 14 years.

Answers

The answer is : membership grows by 14 each year because 14x is the slope which means you go up 14 over 1 on a graph so it increases by 14 every year.

Answer:

we conclude that Membership grows by 14 each year.

Step-by-step explanation:

Given the equation

[tex]y=14x+10[/tex]

Comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

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

From the equation, we can determine the slope

[tex]y=14x+10[/tex]

[tex]m=14[/tex]         ∵  [tex]y=mx+b[/tex]

Hence, the slope is m=16.

We know that the slope is referred to as the 'rate of change'.

For example, if you have a part-time job at a store. You save for her tour at a rate of $20 every week. It means, your rate of change will be $20 per week.

So given the equation

[tex]y=14x+10[/tex]

m = rate of change = slope = 24

The slope is basically a vertical change divided by the horizontal change.

Therefore, we conclude that Membership grows by 14 each year.

Please help me out :)

Answers

I believe the answer is A

Please answer this question it is for Math!

Answers

Answer:do you mean plotting a graph

Step-by-step explanation:

What is the rate of change of y with respect to x for 25x - 4y = 50 ?

Answers

Answer:

25/4

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]

Where, slope = m

Thus,

[tex]25x - 4y = 50[/tex]

Add 25x to both sides of the equation

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Learn more here:

https://brainly.com/question/16875614

whats 1/2 + 8 9/14 please help ASAP

Answers

Answer: 9 /17 as fraction 9.143 Simplify

Step-by-step explanation:

Answer:

9 1/7

The explanain of this is that 1/2 + 8 + 9 1/4  so...   1/2+9/14=?

7 1/4 + 9/14=16/14 and so... 16/14=8/7 then.. 8/7=1 1/7  then last thing   8 + 1 + 1/7=  9 1/7

23p+1/4-1/4(8p+1)=5(4p-6)+10
What is p?

Answers

Answer:

p= -20

Step-by-step explanation:

23p+1/4-1/4(8p+1)=5(4p-6)+10

23p+1/4-2p-1/4=20p-30+10

21p=20p-20

p= -20

At noon, the minute and the hour hands overlap. In how long will they overlap again?

Answers

Answer:

1 hour or 60 minutes later

1hr and 5mins later, when it’s 1:05pm because both minute and hour hands will be on 1.

Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

PLZ HELP ASAP 20 POINTS!! wrote an equation in slope-intercept (y=mx+b) form for each line.

Answers

Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨

Step-by-step explanation: hope it help you later on!

Answer:

Y= -4x + 3

Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)

A line contains points (3,5) and (5,8). What is the slope

Answers

Answer:

3/2x

Step-by-step explanation:

Plug in to this formula

[tex]\frac{y2-y1}{x2-x1} \\\\\frac{8-5}{5-3} \\\\\frac{3}{2}[/tex]

Your slope is 3/2x

If you want to find the y-intercept just plug in one of the points into this..

( ) = 3/2( ) + b

Hope this helps ya!!

13 x 24 =
pleze go very fast or i mite fale

Answers

Answer:

312

Step-by-step explanation:

someone help please

Answers

Answer:

Type: polynomial

degree: 3

leading coefficient: 8

Step-by-step explanation:

The given equation is: f(x) = -7x^2 + 8x^3 + 6 - 4x

To find the type, degree, and leading coefficient of the equation, the first thing we should do is rewrite the terms in decreasing order:

f(x) = 8x^3 - 7x^2 - 4x + 6

The term with the highest value is 8x^3. We can use this to determine the degree and the leading coefficient.

8 is the leading coefficient. The degree is 3.

To find the type of equation this is, we have to count how many terms there are. We can see that there are 4 terms in this equation, making this a polynomial.

plz help me with this plz

Answers

Answer:

Slope: [tex]-\frac{3}{4}[/tex]

Y intercept: 7

Equation: [tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).

This gives us a slope of [tex]-\frac{3}{4}[/tex].

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

I'll mark you brainiest if you give me the correct answer.​

Answers

Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

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