For what value of x is the rational expression below undefined?
x-3
3+x
A. 3
OB. -1
O C. 0
OD. -3
Answers
The value of x that makes the rational expression undefined is x = -3.
The rational expression is undefined when the denominator is equal to zero, because division by zero is undefined.
In the given rational expression (x - 3) / (3 + x), we need to find the value of x that makes the denominator (3 + x) equal to zero.
To find this value, we set the denominator equal to zero and solve for x:
3 + x = 0
Subtracting 3 from both sides:
x = -3
Therefore, the value of x that makes the rational expression undefined is x = -3.
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Related Questions
A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of
1/12 and has a horizontal length of 5 m, what is its height to the nearest tenth of a metre?
a1.1 m
c. 0.4 m
b. 0.8 m
d. 0.3 m
Answers
Answer: A
Step-by-step explanation: Because you multiple 5m by 1/12?
If the ramp has a slope of \(\frac{1}{12}\) and has a horizontal length of \(5m\) then its height to the nearest tenth of a meter will be \(0.4 \ m\) .
What is slope ?Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
i.e. Slope \(m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}\)
We have,
The ramp has a slope of \(\frac{1}{12}\),
Horizontal length of \(5m\)
Height of ramp \(=x\)
So,
Slope \(=\frac{H}{L} = \frac{1}{12}\)
\(\frac{H}{5} =\frac{1}{12}\)
\(H=\frac{5}{12}\)
\(H=0.4 \ m\)
So, the Height of the ramp is \(0.4 \ m\) .
Hence, we can say that if the ramp has a slope of \(\frac{1}{12}\) and has a horizontal length of \(5m\) then its height to the nearest tenth of a meter will be \(0.4 \ m\) .
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All but 36 of the 120 state capitals have an interstate highway serving them. What percent of the capitals do not have interstates?
Answers
Therefore, 70% of state capitals do not have interstate highways serving them.
What is percent?Percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred". Percentages are usually denoted by the symbol %, which is placed after the numerical value. Percentages are used in many fields, including finance, science, and everyday life, to represent proportions, rates, and changes in quantities.
Here,
If all but 36 of the 120 state capitals have an interstate highway serving them, then the number of capitals that do not have interstates is 120 - 36 = 84.
To find the percentage of capitals that do not have interstates, we need to divide the number of capitals without interstates by the total number of capitals and then multiply by 100:
84 / 120 x 100% = 70%
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HELP PLEASE NEED IT THANKS
Answers
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
\(\frac{4(5)}{4}\)\(2(5)-3\)2) Work out the sides
\(\frac{4(5)}{4} =5\)\(2(5)-3=7\)3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answers
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
What is the slope of the line that passes the points (6,-10) and (3,-13) write your answer in the simplest form
Answers
Answer:
1
Step-by-step explanation:
Write the equation 5x+y=0 in in slope-intercept form.
Answers
Answer:
y = -5x
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
5x+y = 0
Subtract 5x from each side
5x+y-5x= 0-5x
y = -5x
What is the difference in the results if you calculate
(−7)² versus −7² . Why does the parentheses give us a
different result?
Answers
Answer:
Order of Operations.
Step-by-step explanation:
If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:
(-7)²= 49.
However, when squaring without the parenthesis, it will give us a negative number because:
The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:
-7² = -49
However, within parenthesis, everything inside will be squared.
Determine whether the distribution is a discrete probability distribution.
x
P(x)
0
0.28
1
0.32
2
−0.20
3
0.32
4
0.28
Answers
The given distribution is not a discrete probability
What is the discrete probability?
Discrete probability refers to the probability of occurrence of a single outcome or a specific set of outcomes in a discrete sample space.
The given distribution is not a discrete probability distribution because the probability corresponding to x = 2 is negative (-0.20), which violates the property that the probability of each value must be non-negative.
In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space).
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The distance between two towns is 21.673 km. Round of the distance to nearest 0.01 km.
Answers
Answer:
21.67
Step-by-step explanation:
look at the number next to 7 to determine how it will change.
The number is 3 which is under 5 so the 7 stays the same while 3 is gotten rid of
¿A qué unidades de medida corresponden: toneladas, hectáreas o metros?
Toneladas __________________________________________
Hectáreas __________________________________________
Metros __________________________________________
¿Cómo representarías las cantidades que has identificado empleando potencias de 10?
________________ ___________________________________
________________ ___________________________________
________________ ___________________________________
________________ ___________________________________
________________ ___________________________________
Answers
Las unidades de medida mencionadas corresponden a masa, superficie y longitud. y se representan con potencia 5.3 × 10⁵, 3,3 × 10⁵, 4 × 10³, y 3 × 10³
5,3 toneladas de papa - corresponde a una unidad de medida de masa330000 hectáreas de cultivo - corresponde a una unidad de medida de superficie/área3000 metros y 4000 metros sobre el nivel del mar - es una unidad de medida de longitudPor otra parte, las cantidades mencionadas se representan utilizando la potencia de 10 de la siguiente manera.
5.3 × 10⁵ = 5,3 toneladas
3.3 × 10⁵ = 3,3 hectáreas
4 × 10³ = 4000 msnm
3 × 10³ = 3000 msnm
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d
O
9
9
9
f
f
e
d
Answer: P=
Submit Answer
I need help please!
Answers
Answer:
Step-by-step explanation:
90,854 seconds equals how many days
Answers
Answer:
1.0515509 Days
Step-by-step explanation:
Explanation: google
Construct 3 linear equation starting with qiven solution z = 1/3
Answers
Answer:
(a)\(9z+2=5\)
(b)\(21z-11=-4\)
(c)\(4z=2-2z\)
Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
Equation 1
\(z=\frac{1}{3}\)
Multiply both sides by 9
\(9z=\frac{1}{3}\times 9\\9z=3\)
Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is: \(9z+2=5\)
Equation 2
\(z=\frac{1}{3}\)
Multiply both sides by 21
\(21z=\frac{1}{3}\times 21\\21z=7\)
Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is: \(21z-11=-4\)
Equation 3
\(z=\frac{1}{3}\)
Multiply both sides by 6
\(6z=\frac{1}{3}\times 6\\6z=2\)
Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is: \(4z=2-2z\)
Rotation is a ______?
A. Spin or turn
B.slide
C.mirror or flip
D.move
HURRY PLEASE
Answers
Answer:
A) Spin or turn
Step-by-step explanation:
In a recent study,0.82of americans own a cell phone. what percent Is evuivalent to 0.82
Answers
Answer:
82%
Step-by-step explanation:
0.82 x100% = 82%
factorise \(x^{2}\)=x
Answers
Answer:
x^2=x, factorizing then x^2-x=0, the x is present in the monomials and can be factorized , so x(x-1)=0
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answers
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
If 4x-3=5, what is the value of x
Answers
Answer: the answer is two :)
Step-by-step explanation:
4x=5+3
4x=8
x= 8/4
x=2
4x-3=5
4x=8
X=2
What is the interest you will pay if you borrowed $120 at 5% interest for 6 years?
Answers
Answer:
Hope this helps!
Step-by-step explanation:
We will need the loan payment formula:
That formula is really complex and we expect you to solve it.
Your monthly payment would be $1.93 per month for 6 years making the TOTAL loan cost 1.93 * 12 * 6 = 138.96
Since the principal you borrowed is $120 the total interest =
(138.96 minus 120.00) which equals $18.96
Answer:
The answer is 36
Step-by-step explanation:
120*0.05=6
6.6=36
20 points! Please help
A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?
A.
0.026
B.
0.46
C.
17.32
D.
2.20
Answers
Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:
B. 0.46
What does the Central Limit Theorem State?It states that the sampling distribution of sample means of size n from a population with standard deviation \(\sigma\) has standard error \(s = \frac{\sigma}{\sqrt{n}}\)
In this problem, we have that the parameters are \(\sigma = 7.89, n = 300\), hence the standard error is given by:
\(s = \frac{7.89}{\sqrt{300}} = 0.46\)
Hence option B is correct.
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can you please help me solve this logarithm function
Answers
Answer:
I think the solution is x=84 if this is correct can u mark me brainliest
Answer:
\(\boxed{\sf{x=84}}\)Step-by-step explanation:
This problem can be solved by using the logarithm function.
Isolate the term of x from one side of the equation.
First, you divide by -6 from both sides.
\(\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}\)
Solve.
Divide the numbers from left to right.
-24/-6=4
Rewrite the problem down.
\(\Longrightarrow: \sf{\log _3(x-3)=4}\)
x-3=81
Add by 3 from both sides.
\(\Longrightarrow:\sf{x-3+3=81+3}\)
Solve.
Add the numbers from left to right.
81+3=84
\(\Longrightarrow: \boxed{\sf{x=84}}\)
Therefore, the solution is x=84, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Your teacher has 35 balloons. She buys 4 packs of balloons. Each pack has 10 balloons. How many does she have now?
Answers
Answer:
75
Step-by-step explanation:
35+4x where x is 10
35+4*10
35+40
75
Answer:
75
Step-by-step explanation:
4 packs of balloons which each have 10 balloons is 40 total balloons she bought. Add 40 to 35 which is 75.
f(x) = 1/2 (x-8) -6
Answers
Inverse of this equation is 2x+20. Or
X intercepts: (20,0) Y intercepts: (0,-10)
Answer:
where's the question? I dog understand
Can someone help me with this???
Answers
The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle
the bottom angle is also 45 could some one answer this for me
Answers
The length of the side opposite to the reference angle is 7.77 units.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.
We know, sin = opposite/hypotenuse.
Therefore,
sin45° = x/11.
1/√2 = x/11.
x = 11/√2.
x = 7.77 units.
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What are the domain and range of h(x) = 3jx|?
O
A. domain: all real numbers; range: y = 0
O
B. domain: x = 0; range: all real numbers
O
C. domain: x s 0; range: all real numbers
O
D. domain: all real numbers; range: y = 0
Answers
IDENTIFY THE TYPE OF produ
Step-by-step explanation:
ced in the following pictures write your answer on the space provided
The ages of a bowling team are 33, 25, 39, and 37. Mary just joined the team and is 34 years old.
How will Mary's age affect the mean and median ages of the team?
A.
It will raise both the mean and the median.
B.
It will raise the mean and lower the median.
C.
It will lower the mean and raise the median.
D.
It will lower both the mean and the median.
Answers
Answer:Its Either A B C OR D
Step-by-step explanation:
I Think It's A
micky used 25% of his money on a new hat . The hat cost him $18 to purchase . How much money did Mickey have before he made his purchase.
Answers
Answer: $72
Step-by-step explanation:
x = money M had before he bought the hat
0.25x = 18
x = 18/.25 = 72
Find the missing numbers
Answers
Based on the information provided, the missing number would be number 6.
How to find the missing numbers?When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.
In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.
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