Find the value for x

Answer:

\(0\)

Step-by-step explanation:

Given:

\(f(x) = \begin{cases} -x -2 &, &x < 0 \\ x &, &0 \leqslant x < 3 \\ x^2 -1 &, &3 \leqslant x \end{cases}\)

Solving for \(f(0)\):

\(f(0) = x \text{ when } x = 0 \\ f(0) = 0\)

Answer:

Step-by-step explanation:

move fast

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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A schedule of cash receipts for the months of August and September, all amounts rounded to the nearest dollar has been attached.

The balance of money owed to a business for goods or services delivered or utilised but not yet paid for by clients is known as accounts receivable (AR). On the balance sheet, accounts receivable are shown as a current asset. Any sum of money that clients owe for purchases they made using credit is known as AR.

The total collection for the months has been provided:

May = $14100

June = $48025

July = $50537

August = $46623

September = $58105

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Step-by-step explanation:

10 points

3

4

Solve the

problem.

What is the

difference?

1

2

=

Your answer

This is a required question

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

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Answer:

v = 108

Step-by-step explanation:

v/2 = 54

Multiply each side by 2

v/2 * 2= 54*2

v = 108

Step-by-step explanation:

\(h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6\)

\(area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64\)

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

Step-by-step explanation:

To find the answer, we can use the formula for combinations:

nCr = n! / r!(n-r)!

where n is the total number of games, r is the number of losses, and n-r-1 is the number of ties (since we already know there are 9 wins).

Substituting the values, we get:

13C3 * 10C1

= (13! / 3!10!) * (10! / 1!9!)

= (13*12*11 / 3*2*1) * 10

= 2860

Therefore, there are 2860 ways the schedule can end with 9 wins, 3 losses, and 1 tie.

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

Consider the numbers as, if we assume our first number to be x and second number being y, then from the given information we will be having the following equations :

\({:\implies \quad \begin{cases}\sf 3x+3y=-12\\ \\ \sf 5x+2y=4\end{cases}}\)

Now, rewrite the second equation as ;

\({:\implies \quad \sf 3(x+y)=-12}\)

Divide both sides by 3 ;

\({:\implies \quad \sf x+y=-4\quad ---(i)}\)

Now, consider the second equation of the above cases

\({:\implies \quad \sf 5x+2y=4\quad ---(ii)}\)

Now, multiply (i) by 2 on both sides :

\({:\implies \quad \sf 2x+2y=-8\quad ---(iii)}\)

Now, subtracting (ii) from (iii) will give us :

\({:\implies \quad \sf 2x+2y-(5x+2y)=-8-4}\)

\({:\implies \quad \sf 2x+2y-5x-2y=-12}\)

\({:\implies \quad \sf -3x=-12}\)

\({:\implies \quad \boxed{\bf{x=4}}}\)

Now, putting x = 4 in (i), will give y + 4 = -4, then solving for y will yield \({\boxed{\bf{y=-8}}}\)

Hence, we can conclude that :

\({\quad \qquad \longrightarrow \begin{cases}\bf x=4\\ \\ \bf y=-8\end{cases}}\)

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

  Birr 5000

Step-by-step explanation:

You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...

  0.60×10,000×20% = 1200

Recipients of the spending at the next level will pay a tax of ...

  0.60×0.60×10,000×20% = 720

That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...

  sum = a1/(1 -r)

  sum = 2000/(1 -0.6) = 5000

Birr 5000 will be the total amount paid for tax in this process.

Answer:

f(0)=2

f(3)=14

f(3)=14

Answer:    7:17

Step-by-step explanation:

Ate breakfast 7:05

Clock stopped 12 minutes before

7:05 + 12 = 7:17

Answer:

0.0013 = 0.13% probability that a randomly chosen bag will weigh more than 15.6 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 15.0 ounces and a standard deviation of 0.2 ounces.

This means that \(\mu = 15, \sigma = 0.2\)

What is the probability that a randomly chosen bag will weigh more than 15.6 ounces?

This is 1 subtracted by the p-value of Z when X = 15.6. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{15.6 - 15}{0.2}\)

\(Z = 3\)

\(Z = 3\) has a p-value of 0.9987.

1 - 0.9987 = 0.0013

0.0013 = 0.13% probability that a randomly chosen bag will weigh more than 15.6 ounces.

Answer:

Jackson eats 15/2 cups of food in 5 days.

Step-by-step explanation:

If Jackson eats 3/4 of food in the morning and at night then he eats 3/2 of food a day or 1.5 cups of food a day.

1.5*5 = 7.5

OR

3/2*5=15/2

Hope this helps!!

Using quadratic function concepts, it is found that the true statements about the equation are:

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

\(x_v = -\frac{b}{2a}\)

\(y_v = -\frac{\Delta}{4a}\)

\(\Delta = b^2 - 4ac\)

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In this problem, the function is:

\(f(x) = x^2 - 6x + 2\)

The coefficients are \(a = 1, b = -6, c = 2\).

Since a > 0, the graph has a minimum value.

For the extreme value, we have that:

\(x_v = -\frac{b}{2a} = \frac{6}{2} = 3\)

\(\Delta = b^2 - 4ac = (-6)^2 - 4(1)(2) = 28\)

\(y_v = -\frac{\Delta}{4a} = -\frac{28}{4} = -7\)

Hence:

The extreme value is at the point (7,-3).

The solutions are:

\(x_1 = \frac{6 + \sqrt{28}}{2} = \frac{6 + 2\sqrt{7}}{2} = 3 + \sqrt{7}\)

\(x_2 = \frac{6 - \sqrt{28}}{2} = \frac{6 - 2\sqrt{7}}{2} = 3 - \sqrt{7}\)

The solutions are \(3 \pm \sqrt{7}\).

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Answer:

153.86.

Step-by-step explanation:

Use the formula pi times radius squared.

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

86 m, 59 cm

Step-by-step explanation:

a. perimeter is 2L + 2W

320 = 2L + 2(74)

320 = 2L + 148

172 = 2L

86 m is length

b. area = L x w

5723 = 97 x w

5723/97 = 2

59 cm is width

Answer:

6.2

Step-by-step explanation:

every minute 6.2 gallons fill into the pool.

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.