I need help solving the value of x and finding the lengths in rectangle LN=2x+9 and MP=9x_5

The possible number of rabbits on the island for the year 2023 is 12,500.

To calculate the number of rabbits that increase each year, we must subtract the number of rabbits that were in 2013 and subtract the number that rabbits were in 2008.

Later, we divide this value in the number of elapsed years (5)

According to the above, it can be stated that each year the rabbit population increases by 360.

Later, we multiply the number of rabbits that should be in 2023 is 12500

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Mohal is 5 years old, and Kiran is 7 years old.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Let's assume that Mohal's age is x. Then, Kiran's age is x + 2, since their ages are consecutive odd integers and Kiran is older than Mohal.

We are given that the sum of the square of Kiran's age and 3 times Mohal's age is 64:

(x + 2)² + 3x = 64

Expanding the left-hand side and simplifying, we get:

x² + 7x - 56 = 0

This is a quadratic equation in standard form. We can solve for x by using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 7, and c = -56.

Plugging these values into the formula, we get:

x = (-7 ± √(7² - 4(1)(-56))) / 2(1)

x = (-7 ± √(289)) / 2

We take the positive root because x represents Mohal's age, which is a positive integer. Therefore:

x = (-7 + 17) / 2 = 5

So, Mohal is 5 years old, and Kiran is 7 years old.

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Answer:

B

Step-by-step explanation:

36 candy

6 different types

if I pick random I'll get 1 of 6

.................................

Equation: h(t) = 96t - 16t²

h(t) = 96t - 16\(t^{2}\)

Find the zeros of the given equation:

Factor out the greatest common factor (GCF)

h(t) = 8t (12 - 2t)

The two factors are:

0 = 8t

0 = 12 - 2t

For both factors, solve for t

8t = 0

8t/8 = 0/8

t = 0

12 - 2t = 0

-2t = -12

t = 6

Now we have the x-values (t) of our zeros:

t = 0

(0, 0)

t = 6

(6, 0)

The ball will land on the ground at 6 seconds

Recall that the maximum point of the graph is halfway between the two zeros:

6 + 0 = 6

6 ÷ 2 = 3

The ball will reach its maximum height in 3 seconds

To find this height, substitute t for 3 in the given equation, and solve for h:

t = 3

h(3) = 96(3) - 16(3)²

       = 288 - 16(9)

       = 288 - 144

       = 144

The maximum height the ball will reach is 144 feet

***Refer to the graph below to check your answer:

=======================================================

Explanation:

I'll use x in place of t

And use y in place of h(t)

The equation we have is y = 96x - 16x^2

This rearranges to y = -16x^2 + 96x

Compare this to y = ax^2+bx+c to find that

The x coordinate of the vertex is

h = -b/(2a)

h = -96/(2*(-16))

h = 3

Then plug this into the equation to find the value of y

y = -16x^2 + 96x

y = -16(3)^2 + 96(3)

y = 144

The y coordinate of the vertex is k = 144

The vertex is located at (h,k) = (3, 144) to represent the highest point of the parabola.

The max height of 144 feet occurs when the ball is in the air for 3 seconds.

Answer:

Step-by-step explanation:

Hbnnhbbs

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

The answer will be 1.8

Step-by-step explanation:

Answer: 39/6 Simplified form: 2 7/16 decimal form: 2.4

Step-by-step explanation:

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.

The domain of the reciprocal parent function is all real numbers except 0, therefore option B is correct.

For the given reciprocal function

f(x) = 1/x

The denominator x cannot be 0, because it will give an undefined value.

Therefore, the reciprocal function domain and range is the set of all real numbers excluding 0.

i.e., f(x) = 1/x where x = Real number excluding 0.

Therefore the option b is true.

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we learned this in our lower i dont remember exactly but i think~

the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number

Answer:

1/2

Step-by-step explanation:

n(E) = 9

n(S) = 18

p(E1) = \(\frac{n(E1)}{n(S)}\)

=9/18

=1/2

Answer:

Slope (m) = infinity

Step-by-step explanation:

Considering the given equations y = 5ˣ and y = log ₅ x, the classification of the statement as true and false are follows

a) false

b) true

c) false

d) true

The given equations y = 5ˣ and y = log ₅ x are inverse of each other this is to is shown below.

When two functions say A = 5ˣ and B = log ₅ x are inverse the output of function A (say 3125) when substituted as input of B (log ₅ 3125) will yield an output (5) same as the input of A (5)

For y = 5ˣ - exponential function

at x = 5, y = 5⁵ = 3125

at x = 2, y = 5² = 25

at x = 0, y = 5⁰ = 1

For y = log ₅ x - logarithmic function

at x = 3125, y = log ₅ 3125 = 5

at x = 25, y = log ₅ 25 = 2

at x = 1, y = log ₅ 1 = 0

Hence we can say that logarithm is the inverse of exponential function

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Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.

Let's define the variables:

x = cost of the washer.

y = cost of the dryer.

We know that the cost combined is $1000, then:

x  + y = 1000

And the washer cost 3 times the cost of the dryer, then we will get:

x = 3y

So we have a system of equations, we can replace the second equation into the first one, so we will get:

3y + y = 1000

4y = 1000

y = 1000/4

y = 250

The cost of the washer is:

x = 3*250 = 750

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To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

Answer:

$205 per month

Step-by-step explanation:

Answer:

$205

Step-by-step explanation:

there are 24 months in 2 years

4920/24= 205

Answer:

12(d-6)

Step-by-step explanation:

Answer:

12n-72

Step-by-step explanation:

You would say 12(n-6) because the difference of a number would be n and the difference is 6. When it says 12 times, then you will multiply it by the numbers in the parentheses.          

Answer:

x/3 + 6 = 14

Step-by-step explanation:

Answer:

h<4.5

Step-by-step explanation:

8h+6<42

8h+6=42

8h=36

h<4.5

Answer: h<4.5

Step-by-step explanation:

Given

2(4h+3)<42

Divide 2 on both sides

2(4h+3)/2<42/2

4h+3<21

Subtract 3 on both sides

4h+3-3<21-3

4h<18

Divide 4 on both sides

4h/4<18/4

h<4.5

Hope this helps!! :)

Please let me know if you have any questions

The number for which the theoretical probability matches the experimental probability is 2.

Experimental probability and theoretical probability are two different ways to determine the likelihood of an event occurring.

Experimental probability is determined by performing an experiment or conducting observations and collecting data to see how often an event occurs. This method involves counting the number of times an event occurs and dividing that number by the total number of trials or observations.

Theoretical probability, on the other hand, is determined by using mathematical principles and calculations to determine the likelihood of an event occurring. It is based on the assumption that all outcomes are equally likely.

In the given table;

For theoretical, P(2) = 1/4

For experimental, P(7) = 7/28 = 1/4

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Answer:

1/3,11/12,9/8

Step-by-step explanation:

Hi! Let's start off with creating common denominators for all three of these fractions.

The LCM (least common multiple) of these three denominators is 24, which means that the three numbers you see at the bottom of the fraction (12, 8, and 3) all in some way have a number that will cause it to multiply to 24, and will make it much more easier to determine the fraction.

1) Change all of the denominators into 24 by multiplying the right number

11/12×2/2=>22/24

9/8×3/3=>27/24

1/3×8/8=>8/24

So now I want you to imagine that the denominators don't exist. From there, you can sort out the fractions from least to greatest! Hope you understood this :)

Answer:

y=3/2x-11

Answer: Number 2

Step-by-step explanation: yes

Answer:

Step-by-step explanation:

4 (x + 3) = 20 Distributive

#1) 4x + 12 = 20 Addition property of equality

#2) 4x = 8 Division Property of Equality

#3) x = 2 Answer

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

Answer:

Yes

Step-by-step explanation:

16x^4 x 16x^2= 16x^8

Answer:

I got 27,719.

Step-by-step explanation:

I Did the long route and multiplied 14,000 by .05 and adding that and doing that to my answer 14 times. so 14,000-14,700-15,435-16,206.75,17,017 so on and on. Tbh I would know tho