ANSWER>> WHAT IS THE DOMAIN OF THE FUNCTION GRAPHED?<

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

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

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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Answer:

radius = 62 cm

Step-by-step explanation:

radius = diameter/2

radius = 124/2 = 62 cm

Answer:

the radius 62

Step-by-step explanation:

the radius is really just the diameter split in half.

So, 124/2 = 62

Percentage of the student body exists at least 21 years old exists 50%.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As one moves away from the center, values start to taper off and the majority of values are concentrated in this area. In a normal distribution, the mean, mode, and median are identical measures of central tendency.

When given a normal or Symmetric distribution, the mean of the distribution exists at the center with 0.5 or 50% of the distribution to either side (right and left) of the distribution.

Therefore, if the mean = 21 ; then the percentage of student body with at least 21 years is the percentage to the left of the distribution, which exists 50%.

P(x ≤ 21) = 0.5 = 50%

Therefore, 50 percentage of the student body exists at least 21 years old

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a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.

b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.

The numbers are determined using the mathematical operations of multiplication and subtraction.

The monthly rent for an apartment = $850

The total payments for 30 years = $306,000 (30 x 12 x $850)

Sister's Payment for a Mortgaged House:

Down payment = $20,000

Monthly mortgage payments = $1,150

The total payments for 30 years = $414,000 ($1,150 x 360)

The difference in total payments = $108,000 ($414,000 - $306,000)

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The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.

Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.

The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.

It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.

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Answer:

2

Step-by-step explanation:

Pls give Brainliest

Answer:

i guess its 80

Step-by-step explanation:

time x thanks man

At $5 on the graph the company will make 3500

At $17 on the graph the company will make 2500

The price that will generate more revenue is $10

The graph shown is a parabola and the price that will generate more revenue is the vertex of the parabolic graph

The vertex of a parabola is the point where the parabola changes direction, from moving upward to downward or vice versa. It is also the point where the parabola is closest to the line of symmetry.

This is the peak point and from the graph the point is at

(10, 5000)

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Answer:

\(g=-3\)

Step-by-step explanation:

\(3\left(-5-8g\right)+4=61\)

\(\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\)

\(3\left(-5-8g\right)+4-4=61-4\)

\(\mathrm{Simplify}\)

\(3\left(-5-8g\right)=57\)

\(\mathrm{Divide\:both\:sides\:by\:}3\)

\(\frac{3\left(-5-8g\right)}{3}=\frac{57}{3}\)

\(\mathrm{Simplify}\)

\(-5-8g=19\)

\(\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\)

\(-5-8g+5=19+5\)

\(\mathrm{Simplify}\)

\(-8g=24\)

\(\mathrm{Divide\:both\:sides\:by\:}-8\)

\(\frac{-8g}{-8}=\frac{24}{-8}\)

\(\mathrm{Simplify}\)

\(g=-3\)

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Answer:

y > 10

Step-by-step explanation:

1/2y>5​

Multiply each side by 2

2* 1/2y>5​*2

y > 10

Answer:

y > 10

Step-by-step explanation:

Inequality:

1/2y>5​

We need to isolate the variable y.

Since it is being multiplied by 1/2, we need to multiply by the reciprocal, or opposite, on both sides. The reciprocal of 1/2 is 2. (Check by multiplying both numbers and making sure the product is 1.)

Multiply:

1/2y>5​

x2     x2

y > 10

Therefore, the simplified inequality is y > 10.

To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

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Answer:

B.

Step-by-step explanation:

The speed at which Marry was initially driving was 13 miles per hour and with that speed Marry drove 156 miles.

Given, Marry drove 156 miles at a constant rate.

If she had driven 99 miles/hour faster, she could have reduced her driving time by 45 minutes.

we have to find the speed at which Marry was driving.

Let the speed be, v

On using the distance formula, we get

Distance = Speed × Time

156 = vt

If she drive 99 miles/hour faster then her time reduced by 45 min.

156 = (v + 99)(t - 3/4)

156 = 156 + 99t - 3/4v - 297/4

396t = 3v + 297

396t = 468/t + 297

On solving the quadratic equation, we get

t = 12

and v = 13

So, the speed of marry was 13 miles per hour.

Hence, Initially the speed of marry was 13 miles per hour and with that speed Marry drove 156 miles.

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_(_)+_(+)_so

2-3-3

=1-3

=2

Step-by-step explanation:

12n-10= -58

+10. +10 (add to both sides)

12n. = -48

÷12. ÷12 (isolate variable)

n. = -4

Answer:

n = -4

Step-by-step explanation:

I hope this helps!

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

According to the information, the sentences would look like this: Hola ¿Cómo estás?, me llamo Hernán, y me gusta la matemática.

To complete the sentences correctly we must identify the central idea of each of the sentences. Additionally, we can identify if the missing word corresponds to a noun, verb, adjective or another type of word.

Once we have this information we can establish which word corresponds with each space as shown below:

Note: This question is incomplete. Here is the complete information:

Completa la oración con la palabra correcta

Oración:

Opciones:

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The question is incomplete :

However, assume Number of cups of flower 10

Number of flour cups for each pie 1/4

Answer:

8

Step-by-step explanation:

Number of cups of flower = 10

Number of flower cups per crust pie = 1/4 cups

Since, the cups of flower was divided equally into to 5 containers;

Number of flower cups per container :

10 / 5 = 2

Each container has 2 cups of flower each.

1 container was used in making crust pie :

The number of crust pies made is:

Cups of flower in container / cups of flower per crust pie

= 2 ÷ 1/4

= 2 * 4 /1

= 8 crust pies

Answer:

  8006 km

Step-by-step explanation:

The radius of the Earth can be used to find the circumference. The difference in latitude compared to the full circle of 360° will give the fraction of that circumference that is the distance of interest.

Reportedly, the radius of the Earth is about 6371 km. Then the circumference is ...

  C = 2πr

  C = 2π(6371 km) ≈ 40,030.2 km

The angle between the two cities as measured at the center of the Earth is given by the difference in latitude. We can consider North Latitude to be positive, and South Latitude to be negative. Then the difference is ...

  (10° -(-62°)) = 72°

As a fraction of the full central angle, that is ...

  72°/360° = 1/5

This fraction of the entire circumference is ...

  (1/5)(40,030.2 km) ≈ 8,006 km

The distance between the two cities is about 8,006 km.

__

Additional comment

The shape of the Earth is called an "oblate spheroid." It has a bulge south of the equator, so is not a perfect sphere. Reportedly the longitudinal circumference is about 40,075 km, a little farther than we computed. One-fifth of that distance is 8015 km.

The statement "u - 9/22 can be rational or irrational, depending on the value of u" is true.

Let's assume that u is an irrational number. An irrational number is a real number that cannot be expressed as a fraction of two integers. When we subtract a rational number, such as 9/22, from an irrational number, the result may or may not be rational.

In general, when subtracting a rational number from an irrational number, the result can still be irrational. This is because the irrationality of u is not affected by the subtraction of a rational number. The irrationality arises from the inability to express u as a fraction of two integers, and subtracting a rational number does not change this fundamental property.

However, there is a possibility that u could be a specific irrational number for which the subtraction of 9/22 results in a rational number. In this case, u - 9/22 would be rational. This scenario is possible if the specific value of u cancels out with 9/22 in such a way that the result becomes a rational number.

Therefore, without knowing the exact value of u, we cannot definitively determine whether u - 9/22 is rational or irrational. It depends on the specific value of u.

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The house's value Increase in dollars by $37,760.

The current value of the house is $509, 760.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A house on the market was valued at $472,000.

After several years, the value increased by 8%.

Then, the value of house increased

= 472000 x 8/100

= $37,760

So, the current value of house

= 472000 + 37760

= $509, 760

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Answer:

\(y = 3(x +21)\)

Step-by-step explanation:

Find the inverse this equation:

\(f(x) = (\frac{1}{3}x) - 7\)

-Take the variable \(y\) for \(f(x)\), because both

\(y = (\frac{1}{3}x) - 7\)

-Switch both variable \(x\) and \(y\) :

\(y = (\frac{1}{3}x) - 7\)

\(x = (\frac{1}{3}y) - 7\)

-Solve for \(y\) :

\(x = (\frac{1}{3}y) - 7\)

-Switch sides:

\(\frac{1}{3}y - 7 = x\)

-Add both side of the equation by \(7\) :

\(\frac{1}{3}y - 7 + 7 = x + 7\)

\(\frac{1}{3}y = x + 7\)

-Multiply both sides by \(3\) :

\(\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }\)

\(y = \frac{x + 7}{\frac{1}{3} }\)

-Divide \(x + 7\) by multiplying by \(\frac{1}{3}\)

\(y = \frac{x + 7}{\frac{1}{3} }\)

\(y = 3(x +21)\)

Therefore, the answer is \(y = 3(x +21)\).

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

A

Step-by-step explanation:

It is the only number that is infinite.

B = 6

C = 8

and D = 12,

but A is different

Hope that helps!

Answer:

9.8x10^-4

Step-by-step explanation:

Answer:

First use the distributive property.

2(4x) 2(-2) = 8(x) 8(-7)

You will get 8x - 4 = 8x - 56

This answer has no solutions since -4 does not equal -56.

Answer: no solution

Step-by-step explanation: So i'm guessing we're solving for x? no sweat

First Distribute the constants on the outside of the expression so 2(4x-2)=8(x-7) becomes 8x-4=8x-56 right now we have a problem. X is on both sides and we don't want that cause it complicates things so we want our variable x in this case on one side. if you subtract 8x from either side your left with no variable so there is no solution.

The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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Answer:

z = 124 degrees

Step-by-step explanation:

If it is a parallelogram, opposite angles are congruent. So, z = 124 degrees

Answer:

opposite angles are equal so z=124°