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2 years ago

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Solve the recurrence relation for the variables indicated below: bn = 8bn-1 - 15bn-2 b1 = 2 b2 = 16 If the explicit formula for

the sequence is written in the form bn = u(s1)n + v(s2)n then find s1 and s2 .

1 answer:

Elza [17]2 years ago

4 0

I'm not to sure but 36

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A business had sales last year of $139,526,000. Write the value of the 9 digit in this number. _________________________________

tresset_1 [31]

Oooooooonnnnnneeeeeeeemmmmmmmmiiiiilllllllliiiiieeee

7 0

2 years ago

Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car

d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

$w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2$

Putting w = 2b-30 in equation 1

$2b-30+b = 87\\3b = 87+30\\3b = 117$

Dividing both sides by 3

$\frac{3b}{3} = \frac{117}{3}\\b = 39$

Putting b=39 in equation 2

$w = 2(39)-30\\w = 78-30\\w = 48$

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

6 0

2 years ago

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = $\dfrac{\text{Size of image}}{\text{Size of original figure}}$

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = $\dfrac{14.7}{4.2}=3.5$ [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0

2 years ago

Read 2 more answers

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this por

olga2289 [7]

Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

5 0

2 years ago

At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h

cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20 Eqn 1

80x+50y=1450 Eqn 2

Multiplying Eqn 1 by 80

$80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150$

Dividing both sides by 30

$\frac{30y}{30}=\frac{150}{30}\\y=5$

Putting y=5 in Eqn 1

$x+5=20\\x=20-5\\x=15$

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

2 years ago