2x2 forma exponencial

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Answer:

Step-by-step explanation:

Ⅰ.  x+y-z = -3

Ⅱ.  4x-y+z = 8

Ⅲ.  -x+5y-4z = 1

Use equation Ⅰ to eliminate the x terms from equations Ⅱ and Ⅲ.  

Ⅰ.  x+y-z = -3

Ⅱ.  -5y+5z = 20

Ⅲ.  6y-5z = -2

Divide equation Ⅱ by the coefficient of its y term:  

Ⅰ.  x+y-z = -3

Ⅱ.  y-z = -4

Ⅲ.  6y-5z = -2

Use equation Ⅱ to eliminate the y terms from equation Ⅲ.  

Ⅰ.  x+y-z = -3

Ⅱ.  y-z = -4

Ⅲ.  z = 22

Divide equation Ⅲ by the coefficient of its z term:  

Ⅰ.  x+y-z = -3

Ⅱ.  y-z = -4

Ⅲ.  z = 22

Back-substitution  

y = -4 - (-1)z = 18

x = -3 - (1)y - (-1)z = 1

Answer:

2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

\(1869*2.78=5195.82\)

Answer: 5,195.82

There are 68 bowls and each bowl weighs 2.78 kilometers. In order for us to figure out how much all of the bowls equal together we must multiply the two known numbers.

68 x 2.78 is 189.04.

So the number of bowls that Walien has equals to189.04 kilometers. However, in our question, it asks for the weight if there was 1869.Once again we would multiply our weight times the number of bowls.

1869 x 2.78 is 5195.82.

This means if there were 1,869 bowls it would weight 5195.82 kilometers.

I hope this helped & Good Luck <3!!!

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

Quantity of  cranberry juice = 95  ml  

Quantity of  orange   juice = 95  ml

Step-by-step explanation:

Step 1

Given ,

We have  80% cranberry juice and  4% of  orange juice.

We have to find how much each should be mixed to make 190 ml of a  60% cranberry-orange juice blend.

Step 2

Let's assume

Quantity of  cranberry juice =x ml  

Quantity of  orange   juice =y  ml  

Then,

x + y = 190

and

x×80100 +y×4100 = 190×60100  

⇒ 0.8x+0.4y = 114    

⇒ 2x+y = 285  

⇒ y = 285−2x  

Step 3

Substituting   y = 285−2x  in  x + y = 190  

⇒ x+285−2x = 190  

⇒ −x = 190−285  

⇒ −x = −95  

⇒ x = 95  ml  

Substituting x = 95   in  x + y = 190

⇒ 95 + y = 190  

⇒ y = 190−95  

⇒ y = 95 ml  

So,

Quantity of  cranberry juice =95  ml  

Quantity of  orange   juice = 95  ml  

Answer:

Answer:

D) The exponential function decays at three-fourths the rate of the quadratic function.

Step-by-step explanation:

Answer:

(7, -3)

Step-by-step explanation:

Isolate x for 2x +7y = -7:

x = (-7 - 7y)/2

Substitute:

-4((-7 - 7y) / 2) - 3y = -19

Solve for y:

-2(-7y - 7) - 3y =

14y + 14 - 3y =

11y + 14 = -19

11y = -33

y = -3

Substitute -3:

x = (-7 - 7(-3))/2

  = 14/2

x = 7

Answer:

(7,-3)

Step-by-step explanation:

When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.

From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.

It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.

Therefore, the number of flags is 40.

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Answer:

$16

Step-by-step explanation:

take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars

Answer:

I think 3.125 I'm not 100 percent sure tho

Answer:

27$

Step-by-step explanation:

Sales Tax increases adding 2$.

Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

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Answer:

B. the function is strictly decreasing.

Step-by-step explanation:

Just took the test on Plato.

Answer:

The function is strictly decreasing.

Step-by-step explanation:

Plato/Edmentum

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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The expression equivalent to the given expression 2(x -2)-5(2x -3) is

(2x-4-10x+15)

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 2(x -2)-5(2x -3)

Using distributive property,

a(b+c) = ab+bc

2(x -2)-5(2x -3) = 2x-4-10x+15

Hence, The expression equivalent to the given expression 2(x -2)-5(2x -3) is (2x-4-10x+15)

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Given:

The value of car = $ 21000.

Rate of depreciation = 15 %.

Depreciation is an exponential decay function.

Consider the exponential decay function.

where a is the initial value and r is the rate of percentage.

Substitute a=21000 and r=15 %, we get

The function that represents the value of the car after t years is

Answer:

D. 6 cm

Step-by-step explanation:

3/4.5=4/QR

Cross multiply

18/3=6

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Here,

We may infer from the centroid's features that it divides each median in a ratio of 2:1.

NS=2SR

7x-3=2(5x-3)

7x-3=10x-6

3x=3

x=1

NS=7x-3

=7*1-3

=4 units

The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.

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Answer:

C

Step-by-step explanation:

Answer:

3x-36 is equivalent to 3(x-12)

Answer:

\((f\circ g)(1)=3\)

Step-by-step explanation:

\((f\circ g)(1)=f(g(1))=f(1^2-3)=f(-2)=-2(-2)-1=4-1=3\)

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The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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a. System of equations: 500+0.04x = monthly income with option A

                                       : 400+0.05x = monthly income with option B.

b. $10,000 worth of athletic shoes.

c. It depends on the level of sales and other factors.

What is system of equations?

In mathematics, a system generally refers to a collection of equations or inequalities that are meant to be solved simultaneously. The solutions of the system are the values of the variables that satisfy all of the equations or inequalities in the system. A system can have a single solution, no solution, or an infinite number of solutions

a. Let x be the total sales in dollars. Then we can write the following system of equations to represent the situation:

System of equations can be written as:

Monthly income with option A: 500 + 0.04x

Monthly income with option B: 400 + 0.05x

b. To find the total price of the athletic shoes Kenisha needs to sell to earn the same income from each pay scale, we can set the two expressions for monthly income equal to each other and solve for x:

500 + 0.04x = 400 + 0.05x

0.01x = 100

x = 10,000

Therefore, Kenisha needs to sell a total of $10,000 worth of athletic shoes to earn the same income from each pay scale.

c. To determine which offer is better, we can compare the monthly incomes for different levels of sales. For example, if Kenisha sells $15,000 worth of athletic shoes in a month, we can calculate her monthly income for each option:

Monthly income with option A: 500 + 0.04(15,000) = 1,100

Monthly income with option B: 400 + 0.05(15,000) = 1,150

In this case, option B offers a higher monthly income. However, the better offer may depend on other factors, such as the amount of effort required to make the sales or the stability of the monthly income.

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The equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)

The expression is given as:

2(3x+5)+4(2x-1)

Open the brackets

6x + 10 + 8x - 4

Evaluate the like terms

14x + 6

Factor out 2

2(7x + 3)

Hence, the equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)

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Answer:

ggg

Step-by-step explanation:

gg

The function of the amount of caffeine in a persons body can be  given as an exponential function: \(C(t) = 130(0.88)^t\)

Exponents are used in exponential functions, as the name suggests. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). The exponential function is a sort of mathematical function that may be used to determine if anything is increasing or decreasing exponentially, such as population, money, or price.

The function of the amount of caffeine in a persons body can be  given as an exponential function: \(C(t) = 130(0.88)^t\).

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The complete question is: