Write the expression as the cube of a monomial

Answer:

Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:

1) q(x) = 1/(x^2 - 9)

 a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9

 b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:

  \(\lim_{x \to \ 3} q(x) = infinity\)

 c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)

2) q(t) = (2*t^2 + 3)/t^2

 a) q(2) =  (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4

 b) q(0) = (2*0^2 + 3)/0^2 = 3/0

  Again, we can not divide by zero, this is simmilar to the case 1.b

 c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2

To calculate a rate, divide two quantities with different units; to calculate a unit rate, divide a rate by the quantity being measured.

What is rate ?

In mathematics, a rate is a ratio that compares two quantities with different units. It is typically expressed as the amount of change of one quantity with respect to another quantity. Rates are often used in the context of describing how quickly or slowly something changes over time or space.

To calculate a rate, we need to divide two quantities that have different units. For example, if we want to find the rate of a car's speed, we divide the distance traveled (in miles) by the time taken to travel that distance (in hours).

The formula for rate is:

rate = quantity / time

To calculate a unit rate, we need to divide a rate by the quantity being measured. For example, if the rate is the number of miles traveled per hour, the unit rate would be the number of miles traveled in one hour. To find the unit rate, we divide the rate by 1 hour.

The formula for unit rate is:

unit rate = rate / 1

When calculating rates or unit rates, it is important to make sure that the units of the quantities being divided are consistent. If the units are not the same, we need to convert them to the same unit before performing the division.

Therefore, to calculate a rate, divide two quantities with different units; to calculate a unit rate, divide a rate by the quantity being measured.

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Problem 5

There are 2 answers and they are choice B and choice C

We can tell by looking at the factors. For something like choice B, the factor (x+6) shows up twice, so that means x = -6 is a double root. Something like choice A has roots x = -6 and x = 6 which aren't the same.

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Problem 6

Ted is correct. He set each factor equal to 0 and solved each equation that resulted from doing so.

Note how 3x-2 = 0 turns into 3x = 2 after adding 2 to both sides. Then he divided both sides by 3 to get x = 2/3. That's the first solution. The second solution x = -5 results from solving x+5 = 0. You subtract 5 from both sides.

To fix Maggie's mistake, you just need to correct her steps to mirror Ted's steps.

Answer: 4 side faces and one base faces I believe im sorry times a 100 if its wrong

Step-by-step explanation:

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

f (2) = 1

Step-by-step explanation:

This is the way to evaluate a function at a given value of x.

Answer:

x = 6

Step-by-step explanation:

6x-9=51-4x

10x - 9 = 51

10x = 60

x = 6

Let's check

6(6) -9 = 51 -4(6)

36 - 9 = 51 - 24

27 = 27

So, x = 6 is the correct answer.

Answer:

B)

Step-by-step explanation:

Given f(x) = ( 7 - 8x )²

let f(x) be y,

y =  ( 7 - 8x )²  .............to find inverse we have to make x the subject.

±√y = 7 - 8x

-8x = √y  - 7

x = (±√y  - 7 ) / -8

Then,

Inverse of ( 7 - 8x )² is  \(-\frac{\sqrt{x}-7}{8},\:-\frac{-\sqrt{x}-7}{8}\) and is a  function.

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

x < 4

x ≥ - 2

Step 02:

system of linear inequalities:

x < 4:

x = 4 ===> vertical line

x ≥ - 2:

x = - 2 ===> vertical line

graph:

The answer is:

Unbounded

The other options exceed her available funds even with the gift card, so they would require using her credit card.

Barbara will be able to purchase the headphones for $25.99 without having to use her credit card. The total cost of the portable radio and speakers is $95.94, which is more than the $70.00 and $20 gift card she has. The total cost of five books is $94.75, which is also more than what she has. The total cost of eight CDs is $71.92, which is less than what she has but still more than the $20 gift card. Lastly, the total cost of six puzzles and a board game is $91.83, which is more than what she has. Therefore, the only purchase she can make without using her credit card is the headphones.
Barbara can purchase the headphones for $25.99 and eight CDs for $8.99 each without using her credit card. She has a total of $90 ($70 cash + $20 gift card). The cost of the headphones and CDs is $25.99 + (8 x $8.99) = $25.99 + $71.92 = $97.91. With the $20 gift card, she can cover the extra $7.91 beyond her cash. The other options exceed her available funds even with the gift card, so they would require using her credit card.

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Answer:

5π

Step-by-step explanation:

Arc length = 1/4 * circumference

Circumference = 2*pi*r = 2*pi*10 = 20pi

Arc length = 1/4 * 20pi = 5pi

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

Answer:

Problem 1:  1/64x^8

Problem 2: y^8/9x^2

Step-by-step explanation:

In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.

For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.

Answer:

1/64x^8 and y^8/9x^2

Step-by-step explanation:

hope this helps have a good night :)

There is no correct option given, but 23.75 <= u <= 38.75 is closest to the given option "95<=u<=155".

To solve the inequality |125 - 4u| <= 30, let's consider two cases:

Case 1: 125 - 4u >= 0, meaning that (125 - 4u) is positive or zero. In this case, we can rewrite the inequality as:

125 - 4u <= 30

Now, solve for u:
-4u <= 30 - 125
-4u <= -95
u >= 23.75

Case 2: 125 - 4u < 0, meaning that (125 - 4u) is negative. In this case, we can rewrite the inequality as:

-(125 - 4u) <= 30

Now, solve for u:
4u - 125 <= 30
4u <= 155
u <= 38.75

Combining the results from both cases, we get the range of users as 23.75 <= u <= 38.75. This is closest to the given option "95<=u<=155", but the correct range is actually 23.75<=u<=38.75.

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Answer: 107.50

Step-by-step explanation:

RCV is more expensive compared to ACV, therefore, Shawn would have to pay more to insure his belongings with RCV coverage.

As Shawn rents an apartment in an all-brick building located in a historic, downtown neighborhood and the value of the belongings in the apartment is about $25,000, he will have to pay around $125 to $375 per year to insure his belongings while renting depending on the type of coverage he chooses.

A renter’s insurance policy can protect the belongings of renters who live in an apartment or house they rent and covers their liability towards others in case they get injured. For this reason, the cost of renter’s insurance will vary depending on the type of coverage needed. If Shawn wants more coverage, then he will pay a higher rate. There are two types of coverage which include actual cash value (ACV) and replacement cost value (RCV).

ACV is a coverage that pays for the value of the belongings, minus the depreciation. Whereas, RCV is a coverage that pays for the cost of replacing the belongings, regardless of their current value.  

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Answer:

x+y+2/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

HOPE IT HELPS

Answer:

9 feet

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used. (2l + 2w) = 48

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

(2l + 2w) = 48

2 x 15 + 2w = 48

30 + 2w = 48

Now Using Subtraction property we will subtract both side by 30 we get;

30 + 2w -30 = 48 -30

2w = 18

Now Using Division Property we will divide both side by 2 we get;

2w = 18

/2

w = 9

Answer:

Answer is A: 9 feet

Answer:

149  minutes

Step-by-step explanation

The domain of the function y = 2 - √(-3x+2) is (-∞ , 2/3] and the range of the function is (-∞ , 2]  .

In the question ,

it is given that , the function is ⇒ y = 2- √(-3x+2) .

For Domain ,

we know that the square root function is defined only when the number inside the root is non negative .

that means ,

-3x \(+\) 2 ≥ 0

Subtracting 2 from both the sides ,

we get ,

-3x ≥ -2

x ≤ 2/3

the Domain is (-∞ , 2/3] .

For range , we know that the root function value in always non negative .

√(-3x + 2) ≥ 0

Multiply by -1 on both sides

we get ,

-√(-3x + 2) ≤ 0

Adding 2 to both the sides

2 - √(-3x + 2) ≤ 2

y ≤ 2

the range is (-∞ , 2] .

Therefore , the domain is (-∞ , 2/3]   and the range is (-∞ , 2] .

How do we find the domain and range of the function y = 2- √(-3x+2) ?

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Answer:

top one is -7

bottom one is -3

Step-by-step explanation:

Answer:

I’m pretty sure the answer would be 64%

Answer:

70%

Step-by-step explanation:

Find a number you can multiply 40 by, and find a number you can multiply 100 by to equal the same number.

Answer:

\(6 \times 6 \times 6 = 216 \\ = 216\)

Answer:

216 Value

6 times 6 times 6 =216

Answer:

This is a bit complicated, but the answer would be 2.28831354(v)x10(^)18, or otherwise known as 2283135409967847400.

Step-by-step explanation:

Answer:

D A N G uh,

Step-by-step explanation:

i dont think any person can physically do that

proof i tried ;-;

The half-life of C-14 is 5730 years.

The activity of the wood sample from the ancient burial site is 700 dph, while a similar piece of wood has a current activity of 920 dph. We can use the concept of half-life to estimate the age of the wood from the burial site.

To do this, we need to determine the number of half-lives that have occurred for the difference in activities between the two samples.

The difference in activity is 920 dph - 700 dph = 220 dph.

Since the half-life of C-14 is 5730 years, we divide the difference in activities by the decrease in activity per half-life:

220 dph / (920 dph - 700 dph) = 220 dph / 220 dph = 1 half-life.

So, the estimated age of the wood from the burial site is equal to one half-life of C-14, which is 5730 years.

Therefore, the estimated age of the wood from the burial site is 5730 years.

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

Step-by-step explanation:

According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.

Correct answer choice is:

The best describes the function is,

''The function is never increasing.''

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

This graph shows a reciprocal parent function.

Since, We have;

According to the graph, the line goes down in both sections as the value of x increases.

It means the function is always decreasing.

Hence, Correct answer choice is:

C. The function is never increasing.

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In programming, the increment and decrement operations can be performed using the ++ and -- operators, respectively.

However, these operators cannot be directly applied to an enumeration type, as enumeration types represent a distinct set of named constants rather than numeric values. To achieve the desired outcome, you can use a typecast to convert the enumeration type to an underlying integral type, such as int, perform the increment or decrement operation, and then convert it back to the original enumeration type.

This way, you can modify the enumeration value while preserving the context and intent of the enumeration in your code.

For example, if you have an enumeration type named "DaysOfWeek", and you want to increment the value of a variable of this type, you can use the following code:

DaysOfWeek day = DaysOfWeek.Monday;
day = (DaysOfWeek)((int)day + 1);

This code first typecasts the enumeration value to an int, adds 1 to it, and then typecasts it back to the DaysOfWeek enumeration type. Similar code can be used for decrementing the value using the -- operator.

Keep in mind that this method may not always be ideal, as it can lead to invalid enumeration values if the new value does not correspond to a named constant in the enumeration. Always ensure that you are working within the valid range of values when using this approach.

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