Which of the following functions best describes this graph?
A. Y = (x-3)(x + 4)
B. y = x^2-5x +6
C. y = x^2 -9x+18
D. y - (x+3)(x +6)

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

Answer:

693.1

Step-by-step explanation:

(1.2 x 105) +(5.35 x 106)

1. 1.2 x 105=126

2. 5.35 x 106=567.1

Your answer is 693.1.

Remove unneeded parentheses from both equations.

That will give us the following...

1.2 x 105 + 5.35 x 106

So now lets solve 1.2 x 105.

1.2 x 105=126

Next, lets solve 5.35 x 106.

5.35 x 106= 567.1

Finally, we add the two together!

126+567.1=693.1

Up above is your final answer!

If this helped please mark me as brainliest!

Answer:

Step-by-step explanation:

i did it

Answer:

C B E

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!!\)

The square of each real number is non-negative

Jan's number is 12.

To find Jan's number, we need to determine a positive integer that has exactly 16 positive divisors and includes both 12 and 15 as divisors.

Let's consider the prime factorizations of 12 and 15:

12 = 2^2 * 3

15 = 3 * 5

From these prime factorizations, we can see that the common factor between 12 and 15 is 3.

Now, to have exactly 16 positive divisors, the number should be in the form of \(p^a \times q^b \times r^c\), where \(p\), \(q\), and \(r\) are distinct prime numbers, and \(a\), \(b\), and \(c\) are positive integers.

Since 12 has 2^2 * 3 in its prime factorization and 15 has 3 * 5, we can construct the number by considering these factors:

The number will have 2 raised to the power of 2 because it needs to have 12 as a divisor. So far, we have \(2^2\).

Next, we need to include 3 raised to some power. Since 12 already has 3 in its factorization, we don't need to include an additional 3. Thus, we still have \(2^2\) for this part.

Finally, we need to include 5 raised to some power to account for 15 as a divisor. Since 15 already has 5 in its factorization, we don't need to include an additional 5.

Putting it all together, the number that satisfies the conditions is \(2^2 \times 3^1 \times 5^0 = 4 \times 3 \times 1 = 12\).

Therefore, Jan's number is 12.

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

I would say B only IV because all of the others are assuming and there's no way to prove true or not.

Step-by-step explanation:

Answer: I would say that the one which you have selected is correct.

Step-by-step explanation:

I really do hope that I am right and this helps you!

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:  

The second box  

Step-by-step explanation:

The volume of a pyramid can be given by the formula:  V=31​Ah. Where.  A:  Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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The total sales amount is $80,500, with $48,300 in food sales. The total cost amounts to $23,828, resulting in a gross profit of $56,672 and a gross profit percentage of 70.39%. The expenses are $9,660, and payroll costs account for $27,370. The net profit is $19,642, with a net profit percentage of 24.40%.

1. Calculate the Total sales:

Beverage sales are $32,200 and beverage sales are 40% of the Total sales.

Using the proportion method:

Total sales / 100 = Beverage sales / 40%

100 × Beverage sales / 40% = Total sales

100 × 32,200 / 40% = Total sales

Total sales = $80,500

Therefore, Total sales are $80,500.

2. Calculate the $ Food sales:

Using the complement method:

Food sales + Beverage sales = Total sales

Food sales = Total sales - Beverage sales

Food sales = $80,500 - $32,200

Food sales = $48,300

Therefore, $ Food sales are $48,300.

3. Calculate the $Food cost:

%Food cost is 28%.

Using the percentage method:

Food cost = %Food cost / 100 × $ Food sales

Food cost = 28 / 100 × $48,300

Food cost = $13,524

Therefore, $ Food cost is $13,524.

4. Calculate the $Total cost:

Using the sum method:

Total cost = $ Food cost + $ Beverage cost

Total cost = $13,524 + 32% of $32,200

Total cost = $13,524 + $10,304

Total cost = $23,828

Therefore, $Total cost is $23,828.

5. Calculate the $ Gross profit:

Using the difference method:

Gross profit = Total sales - Total cost

Gross profit = $80,500 - $23,828

Gross profit = $56,672

Therefore, $ Gross profit is $56,672.

6. Calculate the Gross profit\%:

Using the percentage method:

Gross profit\% = Gross profit / Total sales × 100

Gross profit\% = $56,672 / $80,500 × 100

Gross profit\% = 70.39

Therefore, Gross profit\% is 70.39%.

7. Calculate the $ Expenses:

Expenses are 12%.

Using the percentage method:

Expenses = 12% of Total sales

Expenses = 12 / 100 × $80,500

Expenses = $9,660

Therefore, $ Expenses are $9,660.

8. Calculate the $ Payroll costs:

Payroll cost is 34%.

Using the percentage method:

Payroll costs = 34 / 100 × Total sales

Payroll costs = 34 / 100 × $80,500

Payroll costs = $27,370

Therefore, $ Payroll costs are $27,370.

9. Calculate the $Net profit:

Using the difference method:

Net profit = Gross profit - Expenses - Payroll costs

Net profit = $56,672 - $9,660 - $27,370

Net profit = $19,642

Therefore, $Net profit is $19,642.

10. Calculate the Net profit\%:

Using the percentage method:

Net profit\% = Net profit / Total sales × 100

Net profit\% = $19,642 / $80,500 × 100

Net profit\% = 24.40

Therefore, Net profit\% is 24.40%.

In summary, the findings are given below:

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Answer: To simplify the expression, you can first simplify the terms inside the parentheses.

6(3) = 18

(4)n-1(5)/(12)n = (4n-5)/(12n)

Then you can combine the like terms:

18/(4n-5)/(12n) = (18 * 12n)/(4n-5)

This is the simplified form of the original expression.

Step-by-step explanation:

The y-intercept is y = 10, and that is the initial height of the flower in inches.

And the rate of change between n = 1 and n = 5 is:

R = 0.21

For any function y = f(x), the y-intercept is the value that y takes when we evaluate in x = 0.

In this case, we have the exponential function:

g(n) = 10*(1.02)^n

Evaluating in n = 0 we get:

g(0) = 10*(1.02)^0 = 10*1 = 10

The y-intercept is y = 10, and it means that the initial height of the flower is 10 inches.

Now we want to get the average rate of change on the interval [1, 5].

Remember that for a function f(x) the average rate of change on an interval [a, b] is:

R= [ f(b) - f(a)]/(b - a)

In this case we will have:

R = [ g(5) - g(1)]/(5 - 1) = [g(5) - g(1)]/4

Where:

g(5) = 10*(1.02)^5  =11.041

g(1) = 10*(1.02) = 10.200

Replacing that:

R = [11.041 - 10.200]/4 = 0.21

This means that the plant increases about 0.21 inches per day on these 4 days.

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Approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is because the area under the standard normal distribution curve between these two values is approximately 0.95.

To calculate this, first calculate the area under the standard normal distribution curve between -1.96 and 1.96. This can be done by using a Z-score table, which provides the area under the curve to the left of a given value. To calculate the area between -1.96 and 1.96, subtract the area to the left of -1.96 from the area to the left of 1.96. This is approximately 0.95.

Since the total area under the curve is 1, this implies that approximately 95% of scores lie between -1.96 and 1.96 z-scores. This is commonly known as the "95% Rule," and it is a useful way to quickly estimate the amount of scores that are within a certain range.

It is important to note that this calculation is only an approximation, as the exact value depends on the actual values that are used. Therefore, it is important to use a Z-score table with more accurate values if more precision is needed.

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Answer:

6(1-5m) = 6 − 30 m

3(4+3r) = 12 + 9 r

3(6r+8) = 18 r + 24

4(811+ 1+2) = 3256

-(-2-n) 7) = 14 + 7 n

-6(7k+11) = − 42 k − 66

-3(71+1) = − 216

-6(1 +116) = − 702

-10(a - 5) = − 10 a + 50

-3(1 + 2v) = − 3 − 6 v

-4(3r+2) = − 12 r − 8

(3 - 76)-2 = − 75

(-2018x+20) = − 2018 x + 20

(7 + 190)-15 = 182

(x + 1)14 =​ 14 x + 14

The z-score for a daily rate of $233.49 with a standard deviation of $21.72 is approximately 0.1440.

To calculate the z-score, we use the formula:

z = (x - μ) / σ

Where:

z = z-score

x = observed value

μ = mean

σ = standard deviation

In this case, the observed value (x) is $233.49, the mean (μ) is the average daily rate, and the standard deviation (σ) is $21.72.

Using the formula, we can calculate the z-score:

z = (233.49 - μ) / 21.72

Since we are given the average daily rate as $233.49, the z-score is:

z = (233.49 - 233.49) / 21.72 = 0 / 21.72 = 0

Therefore, the z-score for a daily rate of $233.49 with a standard deviation of $21.72 is 0.

The z-score for a daily rate of $233.49 with a standard deviation of $21.72 is 0. This indicates that the observed value is equal to the mean, suggesting that the daily rate falls in line with the average for a luxury hotel.

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The equation of the parabola is y = x² + 6x + 8.

The primary distinction between the two forms is that the vertex form informs us of the parabola's vertex while the standard form informs us of the quadratic equation's coefficients.

We can finish the square to change a parabola from standard form to vertex form. If the equation is in vertex form, it is simple to determine what the parabola's vertex is (h, k).

The standard form equation of a parabola:

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

Now, the x-intercepts at -2 and -4 thus:

y = a(x + 2)(x + 4)

Now, y-intercept at (0, 8) thus:

8 = a(0 + 2)(0 + 4)

8 = 8a

a = 1

Substitute the value of a we have:

y = (x + 2)(x + 4)

Hence, the equation of the parabola is y = x² + 6x + 8.

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10 %  is the probabbilty that it is one of the six mew england states.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

              Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Number of states that touch the Pacific Ocean = N(P) = 5

Total Number of States = (Sample Space)= N(s) = 50

Number of Event/Draw = 1

Therefore;

Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %

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(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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Answer:

A. 8.99a + 6.99c=158.81

a=2c + 1

Step-by-step explanation:

Let us represent

The number of Adults = a

The number of children = c

Duke's grandfather spent $158.81 taking the entire family out to eat at a buffet. Adults ate for $8.99 and children ate for $6.99.

$8.99 × a + $6.99 × c = $158.81

= 8.99a + 6.99c = 158.81

The number of adults was one more than twice the number of children.

a = 2c + 1

Hence:

The system of equations used are:

8.99a + 6.99c = 158.81

a = 2c + 1

Option A is correct

Answer:

We are to divide 2/7 by 1.5.

The mathematical expression is,

First of all, let us convert 1.5 to a fraction

Let us now divide and simplify

Apply the fraction rule:

Multiply fractions:

Multiply the numbers

Hence, the answer is

Answer: y=50/(2(x-1))

Step-by-step explanation:

Alright, so the points are:

(1,50)

(2,25)

(3,12.5) (approximately)

(4, 6.25)

So every time the x increases, the y is divided by 2

So y=50/(2^(x-1))

Answer

260 kilograms

Step-by-step explanation:

the correct answer is 260 kg

Answer: 12.6 kg

Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

Answer:

addhh.

Step-by-step explanation:

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