\(f(x)=\frac{x-3}{x+7}\) find the domain

Answers

Answer 1

The domain of the function f(x) is all real numbers except x = -7. In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

To find the domain of the function f(x) = (x - 3)/(x + 7), we need to determine the values of x for which the function is defined.

The function is defined for all values of x except those that make the denominator, x + 7, equal to zero.

Division by zero is undefined in mathematics.

So, we set the denominator equal to zero and solve for x:

x + 7 = 0

x = -7

Hence, the only value that makes the denominator zero is x = -7. Therefore, the domain of the function f(x) is all real numbers except x = -7.

In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

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Related Questions

Consider the following set of 19 data values:

5 6 6 9 10 4 2 5 7 6 7 3 5 5 5 4 9 2 10

Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.

Mean =

Median =

Mode=

Answers

Answer:

mean = 5.4

median  = 5

mode = is the number that appears the most answer = 5

Step-by-step explanation:

mean

5+6+6+9+10+4+2+5+7+6+7+3+5+5+5+4+9+2+10  =       .........   / 19 = 5.4

median

2 2  3 4 4 5 5 5 5 5 6 6 6 7 7 9 9 10 10 then find the middle between these = 5

I WILL GIVE BRAINLIEST!!!

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

it should be C

Step-by-step explanation:

Does anyone know this answer??

Does anyone know this answer??

Answers

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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4 Pythagorean Theorem, Hypotenuse : HELP PLEASE ITS DUE I WILL GIVE BRAINLIIEST

4 Pythagorean Theorem, Hypotenuse : HELP PLEASE ITS DUE I WILL GIVE BRAINLIIEST
4 Pythagorean Theorem, Hypotenuse : HELP PLEASE ITS DUE I WILL GIVE BRAINLIIEST

Answers

Answer:

\(5\sqrt{82}\) units

\(\sqrt{84910}\) units

Step-by-step explanation:

According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of other two sides.

Consider the first figure:

Let \(x\) denotes length of the third side.

\(23^2+39^2=x^2\\529+1521=x^2\\2050=x^2\)

\(x=5\sqrt{82}\) units

Consider the second figure:

Let \(y\) denotes length of the third side.

\(87^2+96^2=y^2\\7569+9216=y^2\\84910=y^2\\\)

\(y=\sqrt{84910}\) units

If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.

Answers

To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is  312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).

Draw the conclusion:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Hope this helps!

CF AND AH ARE SKEW PERPENDICULAR PARALLEL

CF AND AH ARE SKEW PERPENDICULAR PARALLEL

Answers

Answer:  Parallel

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

Read the following statement:

If the measure of an angle is more than 90º, then it is an obtuse angle.

Which of the following choices is a counterexample to the statement?


the measure of an angle that is 180º

the measure of an angle that is 150º

the measure of an angle that is 91º

Answers

Answer:

the measure of an angle that is \(180^{\circ}\)

Step-by-step explanation:

This would be a straight angle, not an obtuse angle.

Find the circumference of both circles to the nearest hundredth. The circumference of the green circle is about 20meters. The circumference of the blue circle is about meters.

Answers

Let's assume that the green circle has a circumference of 20 meters. The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

To find the radius of the green circle, we can rearrange the formula as:

r = C/2π

Plugging in the given circumference of 20 meters, we get:

r = 20/(2π) ≈ 3.18 meters

Therefore, the green circle has a radius of about 3.18 meters.

To find the circumference of the blue circle, we can use the same formula:

C = 2πr

but with a different value of the radius. Let's assume that the blue circle has a radius of 5 meters. Then, its circumference would be:

C = 2π(5) = 10π ≈ 31.42 meters

Rounding this value to the nearest hundredth, we get a circumference of about 31.42 meters. Therefore, the circumference of the blue circle is about 31.42 meters.

HELP MEEEE I WILL GIVE BRANLEST

HELP MEEEE I WILL GIVE BRANLEST

Answers

Answer:

0.75

Step-by-step explanation:

1/4 is a quarter. A quarter is 0.25 0.25*3=0.75

Answer: 3/4 is 0.75 as a decimal!! i do this math 2 ;D

Step-by-step explanation:

Two hundred students are going to dine with the principal as their reward for perfect attendance. A random survey of 25 of these students was
conducted to determine how many of each meal should be prepared for dinner. The results are shown below.
• 12 students like pizza
8 students like cheeseburger
. 5 students like taco
Based on the survey results, which of these is the best prediction of the meals liked by the 200 students. (1.6H)
O A There are 16 students who want a cheeseburger.
OB There are 52 students who want either a cheeseburger or a taco.
O C There are 24 more students who want a taco than want a cheeseburger.
OD There are 32 more students who want pizza than want a cheeseburger.

Answers

DThere are 32 more students who want pizza than want a cheeseburger.

BRAINLIEST?

Find the distance between the pair of points.
(-2,1) and (2,- 3)

Answers

Formal decimal
Distance: 5.65

The LCM of 168 and 980 is between???

Answers

Answer is 5880 hope it helps

What is the area of a circle with a circumference
of 25.12 meters?

Answers

Area of a circle=πr^2

circumference of a circle= 2πr

circumference of a circle=25.12

2πr=25.12

r=25.12÷2π=4

radius=4

Are of circle= πr^2=π4^2=50.28cm^2

Look at image, I need help as soon as possible!

Look at image, I need help as soon as possible!

Answers

Answer:

I predict 1,008 people may have cookies as their favorite snack.

Step-by-step explanation:

27 + 21 + 63 + 64 = 175

63         x
----  =  -------
175     2800

Multiply both sides by 16

63 x 16 = 1,008

The figure shown represents a roof truss
design. Based on the markings on the figure,
which of the triangles can you prove are
congruent?

The figure shown represents a roof trussdesign. Based on the markings on the figure,which of the triangles

Answers

OPTION C is the correct answer.

The figure shown represents a roof trussdesign. Based on the markings on the figure,which of the triangles

The ΔAFE ≅ ΔBHG  by the angle, side and angle theorem are congruent. Option (A) is correct.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The figure shows models of a roof truss. Based on the markings, there is enough information to prove that

ΔAFE ≅ ΔBHG

∠EFA=∠GHB  (90 degrees )

EF = GH  (equal side)

EAF = GBH (the side opposite to the angle is equal)

ΔAFE ≅ ΔBHG  (ASA )

Thus, ΔAFE ≅ ΔBHG  by the angle, side and angle theorem are congruent.

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Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.



What is the value of x?

40
50
100
160

Answers

Answer:

X=100

Step-by-step explanation

you gotta get to 180 so add that hunid

The value of x in the parallelogram described is: C. 100°

How do You Find Angles of a Parallelogram?

In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.

x degrees and 80 degrees are consecutive angles in the parallelogram described.

Therefore:

x + 80 = 180

x = 180 - 80

x = 100°

Therefore, the value of x in the parallelogram described is: C. 100°

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Please help! The question is in the image.

Please help! The question is in the image.

Answers

Answer:

Step-by-step explanation:

Find the perimeter of the figure.

Find the perimeter of the figure.

Answers

Answer:

30

Step-by-step explanation:

Add all the sides and you get 30.

Hope this helps! Pls give brainliest!

Answer:

30

Step-by-step explanation:

6+9.5+6.5+4+4 = 30


Explain how compound interest is better than simple interest when it comes to saving money

Answers

compound interest is better cause you make interest on the already accumulated interest while simple interest only creates interest on the initial investment

At Daniel's Swimwear, there are 76 bikini styles and 4 other types of swimsuit. What percentage of the swimsuit styles are bikinis?

Answers

Total swimwear = 76 bikinis + 4 other types = 80 total


divide number of bikinis by total swimwear then multiply by 100:


76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

Question Progress X y J -2 a) Complete the table of values for y= 2x + 3 1 -1 1 0 Homework Progress 7 2 7 CO 29/41 Marks 3 VLORE​

Answers

Answer:

Slop 2

Step-by-step explanation:

X-yz for x=-2 y=5 solve for z

Answers

Answer:

-5z - 2

Step-by-step explanation:

x - yz when x = -2 and y = 5

-2 - 5z

Since we don't have any like terms and an equal sign, we can't simplify any further.

Best of Luck!

I will give brainlist

The Busy Bee store bottles fresh jars of honey at a constant rate. In 2 hours, it bottles 18 jars, and in 6 hours, it bottles 54 jars of honey.

Determine the constant of proportionality.

9
18
0.11
4.5

Answers

The constant of proportionality is A. 9.

What is a constant of proportionality?

The constant of proportionality is simply used to show that the numbers given have a constant value.

From the information, the Busy Bee store bottles fresh jars of honey at a constant rate. In 2 hours, it bottles 18 jars. The constant will be:

= Number of jars / Number of hours

= 18/2

= 9

In 6 hours, it bottles 54 jars of honey. The constant will be:

= 54 / 6

= 9

Therefore, the constant is 9.

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A rectangular pyramid has a height of 5 units and a volume of 50 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?

A rectangular prism in which BA = 10 and h = 5 has a volume of 150 units3; therefore, Shannon is correct
A rectangular prism in which BA = 30 and h = 5 has a volume of 150 units3; therefore, Shannon is correct
A rectangular prism in which BA = 10 and h = 5 has a volume of 50 units3; therefore, Shannon is incorrect
A rectangular prism in which BA = 30 and h = 5 has a volume of 50 units3; therefore, Shannon is incorrect

Answers

Answer:

B (A rectangular prism in which BA = 30 and h = 5 has a volume of 150 units3; therefore, Shannon is correct)

Step-by-step explanation:

I took the test!

The solution is,: A rectangular prism in which BA = 30 and h = 5 has a volume of 150 units^3; therefore, Shannon is correct

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

step 1

Find the area of the base of the rectangular pyramid

we know that:

The volume of the rectangular pyramid is equal to:

V = 1/3 * bh

where

B is the area of the base

H is the height of the pyramid

we have

V= 50

h = 5

substitute and solve for B

we get,

b= 30

step 2

Find the volume of the rectangular prism with the same base area and height

we know that

The volume of the rectangular prism is equal to

V = bh

we have

b = 30

h = 5

substitute

V = 30 * 5 = 150 unit^3

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct

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What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.

Answers

The correct choice is: the probability of the event not happening.

The symbol ~ (tilde) is commonly used to represent the negation or complement of an event. When we refer to ~A, it means "not A" or "the complement of A." In terms of probability, ~A represents the event not happening or the event A occurring.

Need the answer ASAP!!!
Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals cost $1.25 each. What inequality represents the largest number of animal food that Amy can buy?


1.25x + 7.25 < 35.75

7.25x + 1.25 < 35.75

7.25x + 1.25 < 35.75


1.25x + 7.25 < 35.75

Answers

Answer:

1.25x + 7.25 < 35.75 is the answer.

1.25x + 7.25 < 35.75 (this represent the largest number of food she can buy)

There are respecting answer choices.

Hope this helps!

ASAP ITS TIMED
A student has a rectangular bedroom. If listed as ordered pairs, the corners of the bedroom are (14, 22), (14, −10), (−17, 22), and (−17, −10). What is the perimeter in feet?

31 feet
32 feet
63 feet
126 feet

Answers

The perimeter of the rectangular bedroom is 126 feet.

What is the perimeter of the rectangle?

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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it want me to type here sooo um brainleist for the one who gibs the correct answer!!

it want me to type here sooo um brainleist for the one who gibs the correct answer!!

Answers

Answer:

70 + 95 = 5(14 + 19)

Step-by-step explanation:

To factor the expression, 70 + 95, using the GCF, take the following steps:

✔️Find the prime factors of each number:

Prime factors of 70 = 2 × 5 × 7

Prime factors of 95 = 5 × 19

Multiply the factors that both numbers have in common to get the GCF.

This, both number have only one factor in common which is 5.

Therefore, the GCF of 70 and 95 is 5.

✔️Factoring the experession given using the GCF, we have:

70 + 95 = 5(14 + 19)

60° 2x + 149 degrees​

60 2x + 149 degrees

Answers

Answer:

x = 23

Step-by-step explanation:

60°=x+14

60+14=84=X

In analyzing the relationship between two variables, a scatter plot cannot be used to detect which of the following? O A causal relationship O A positive linear relationship O A curvilinear relationship O A negative linear relationship

Answers

In analyzing the relationship between two variables, a scatter plot cannot be used to detect A casual relationship.

Scatterplots:

Scatterplots can be used when one continuous variable is under the control of the experimenter and the other is dependent on it, or when both continuous variables are independent. When one parameter is systematically increased and/or decreased by the other, it is called the control parameter or independent variable and is usually plotted along the horizontal axis. Measured or dependent variables are usually plotted along the vertical axis. In the absence of a dependent variable, any type of variable can be plotted on any axis and the scatter plot he only shows the degree of correlation (not causality) between the two variables. Scatterplots can suggest different types of correlations between variables with specific confidence intervals.

For example, weight and height are displayed on the y-axis and height on the x-axis. Correlation can be positive (increase), negative (decrease), or zero (no correlation). If the dot pattern slopes downwards from the lower left to the upper right, this indicates a positive correlation between the investigated variables. If the dot pattern slopes from top left to bottom right, it indicates a negative correlation. We can draw a line of best fit (also called a "trend line") to explore the relationship between variables. The formula for correlation between variables can be determined by established best-fit methods. For linear correlation, the optimal procedure is called linear regression, which guarantees a correct solution in finite time. There is no one-size-fits-all procedure that guarantees the correct resolution in any relationship. Scatterplots are also very useful for seeing how two comparable data sets match up to show non-linear relationships between variables. The ability to do this can be improved by adding smooth lines like losses.

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