50 Points. Select all correct graphs. Choose the graph that indicate equation with no solutions.
Answers
Concepts:
Graph equationsAnswer:
First option and fifth option
-2x-1=3^(-x) and 2^(-x)+2= -5^x + 3 don't intersect.
Therefore, the graphs have no solution.
Related Questions
Determine whether each red path in the vector field is positive, negative, or zero
Answers
If the path is perpendicular to the field it is zero.
If the path is along the field it is positive or negative depending on it's direction.
See the attached picture.
Find the solution(s) of the quadratic equation 2x2 – 3x – 35 = 0
Answers
Answer: x = 5, x = -7/2
Step-by-step explanation:
2x² - 3x - 35 = 0
Step 1: Find two values whose product = 2(-35) and sum = -3: -10 & 7
Step 2: Replace the b-value of -3x with -10x + 7x:
2x² - 10x + 7x - 35 = 0
Step 3: Factor the first two terms and the second two terms:
2x(x - 5) +7(x - 5) = 0
Step 4: Write the factored form:
Notice that the parenthesis are identical. This is one of the factors. The outside values are the other factor:
Parenthesis: (x - 5)
Outside: (2x + 7)
Factored form: (x - 5)(2x + 7) = 0
Step 5: Set each factor each to zero and solve for x:
x - 5 = 0 2x + 7 = 0
x - 5 [tex]x=-\dfrac{7}{2}[/tex]
The solutions of the quadratic equation given as 2x² - 3x - 35 = 0 are x=5 and x =-3.5.
Given that:
2x² - 3x - 35 = 0
This is a quadratic equation.
It is required to find the solutions of this equation.
The solution of the quadratic equation of the form ax² + bx + c = 0 can be found using the quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
From the given equation:
a = 2
b = -3
c = -35
Substitute to the quadratic formula.
[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-35)}}{2(2)}[/tex]
[tex]=\frac{3\pm \sqrt{9+280}}{4}[/tex]
[tex]=\frac{3\pm \sqrt{289}}{4}[/tex]
[tex]=\frac{3\pm 17}{4}[/tex]
So, the solutions are:
[tex]x=\frac{3+ 17}{4}=5[/tex], and [tex]x=\frac{3-17}{4}=-3.5[/tex]
Hence, the solutions are x =5, -3.5.
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a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages
Answers
Answer:
Brian is 6 years old, John is 9 years old
Step-by-step explanation:
i.
J = 3 + B
J x B = 54
ii.
(3 + B) x B = 54
B² + 3B = 54
iii.
(B + 9)(B - 6) = 0
B = -9 or 6 -- -9 is irrational as one cannot be negative years old
Brian = 6 years old; therefore, John = 9 years old
Dan's mean average on 5 exams is 86 determine the sum of his score
Answers
Answer: 430
Step-by-step explanation:
An average of 5 scores can be found via: (the sum of the scores)*5. Thus, simply multiply 86*5 to get that the sum of his scores is 430
Hope it helps <3
How does a reflection across the y-axis change the coordinates of a shape?
Answers
Answer:
When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.
Step-by-step explanation:
EXAMPLES:
(3,6)---(reflected over y-axis)--> (-3,6)
(9,2)---(reflected over y-axis)--> (-9,2)
Hope this helped! Brainliest would be really appreciated :)
Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for
itself since the time it takes to produce the product using the new machine is significantly less than the
production time using the old machine. To test the claim, independent random samples were taken from
both machines. You are given the following results.
New Machine Old Machine
Sample Mean 25 23
Sample Variance 27 7.56
Sample Size 45 36
As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain your
Answers
Answer:
Step-by-step explanation:
We will develop a test to compare the mean of two population
Population 1.
population mean μ₀₁ = 25 ; Sample variance 27 ; and sample size n = 45
Population 2.
population mean μ₀₂ = 23 ; Sample variance 7,56; and sample size n = 36
As our major interest is to investigate if the new machine uses less time for the same production, the test will be a one tail test ( left test)
Test Hypothesis
Null Hypothesis H₀ ⇒ μ₀₂ - μ₀₁ = 0
Alternative Hypothesis Hₐ ⇒ μ₀₂ - μ₀₁ < 0
We will use confidence of 90 %, therefore α = 10 % α = 0,1
α = 0,1
We get z score of z = 1,28 or z = - 1,28 ( left tail)
And compute z(s) = ( μ₀₂ - μ₀₁ ) /√ (s₁)²/n₁ + (s₂)²/n₂
z(s) = - 2 / √(729/45) + (57,15/36)
z(s) = - 2 / √16,2 + 1,59
z(s) = - 2 / 4,2178
z(s) = - 0,4742
As |z(s)| < |z(c)|
We are in the acceptance region. If we lok at 90 % as Confidencial Interval α = 0,1 and α/2 = 0,05 in this case
₀,₉CI ( μ₀₂ - μ₀₁) = [ -2 ± z(0,05)√ (s₁)²/n₁ + (s₂)²/n₂ )
From z Table z ( 0,05 ) ⇒ z score z = 1,64
And √ (s₁)²/n₁ + (s₂)²/n₂ ) = √(729/45) + (57,15/36) = 4,2178
₀,₉CI ( μ₀₂ - μ₀₁) = [ -2 ± 1,64 *4,2178]
₀,₉CI ( μ₀₂ - μ₀₁) = ( - 8,917 ; 4,917 )
We can see that 0 is a possible value in the ₀,₉CI ( μ₀₂ - μ₀₁) so again we cannot reject H₀. Then as we are not quite sure about the strengths of the new machine over the old one we should not recomend to purchase the new machine
Translate the phrase into a variable expression. Use the letter sto name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(1) for division.
the product of 60 and the number of seconds...
Answers
Answer:
The statement
the product of 60 and the number of seconds is written as
60 * s
Hope this helps you
Shawna spent half of her weekly allowance playing arcade games. To earn more money her parents let her clean the windows in the house for $4.37. What is her weekly allowance if she ended with $11.18?
Answers
Answer:
$13.62
Step-by-step explanation:
By working backward we can see that before she cleaned the windows she had $6.81.
We know that she spent half her allowance on the arcade and the $6.81 she had before cleaning the windows is the other half.
So, if you multiply by 2 you get that here weekly allowance is $13.62.
Answer:
$13.62
Step-by-step explanation:there
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (a) What is the probability that a subject would guess exactly 18 correct in a series of 36 trials
Answers
Answer: The answer is 0.1350
Step-by-step explanation:
Given data
n=36
p=1/2
q=1/2
X=18
O=3
U = 18
a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.
The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.
Given that,
ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.
We have to determine,
What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?
According to the question,
Number of trials n = 36
The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.
By using the normal approximation,
[tex]\mu = 18 \ and \ \sigma = 3[/tex]
Therefore,
X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.
p = 0.1350
Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.
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Which parent function is represented by the graph?
A. The quadratic parent function
B. The absolute value parent function
C. An exponential parent function
D. The linear parent function
Answers
Answer:
D. The linear parent function
Step-by-step explanation:
Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.
Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;
m= gradient of the straight line graph
x= the independent variable
y= the dependent variable
c= the vertical intercept
Answer:
The linear parent function :)
Step-by-step explanation:
It takes four painters working at the same rate 1.25 work-days to finish a job. If only three painters are available, how many work-days will it take them to finish the job, working at the same rate? Express your answer as a mixed number.
Answers
Answer:
.9375 days
Step-by-step explanation:
1.25 / 4 = 0.3125
0.3125 x 3 - 0.9375
Please help me!! Need help with geometry! Thank you so much!!
Answers
Answer:
b
Step-by-step explanation:
A, b, c, and d are all points. the line segements are: ab, bc, cd, da, and ac
Select the correct answer. Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of paper. He then folds the paper circle three times to create three folds representing diameters of the circle. He labels the ends the diameters A, B, C, D, E, and F, and he uses a straightedge to draw the chords that form a hexagon. Which statement is true? A. Vincent’s construction method produces a hexagon that must be regular. B. Vincent’s construction method produces a hexagon that must be equilateral but may not be equiangular. C. Vincent’s construction method produces a hexagon that must be equiangular but may not be equilateral. D. Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular.
Answers
Answer:
B.
Step-by-step explanation:
Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular. The correct option is D.
What is a regular polygon?A regular polygon is a polygon that is equiangular and equilateral. Therefore, the measure of all the internal angles and the measure of all the sides of the polygon are equal to each other.
Given that Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of paper. He then folds the paper circle three times to create three folds representing the diameters of the circle.
Now as it can be seen as the paper is folded as shown in the below image but it does not create a hexagon that is equilateral and equiangular.
Hence, Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular.
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Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green and 2 red marbles. Find probability that both marbles are white. Round to nearest thousandth
Answers
Below are some of the scores on a math quiz given last week,
{82, 73, 74, 78, 46, 73}
What will happen to the mean of the quiz scores if the outlier is removed?
A
The mean will decrease.
OB
The mean will increase
C
There is not enough information given.
OD
The mean will not change.
Answers
Answer:
B: The mean will increase
Step-by-step explanation: The outlier is 46, which is way below all the other numbers, which is the definition of an outlier. If we remove a really low number from the set, then the mean(average) will increase.
The probability of a potential employee passing a drug test is 91%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test
Answers
Answer:
The number expected to pass that test is [tex]k = 14 \ employees[/tex]
Step-by-step explanation:
From the question we are told that
The probability of success is p = 0.91
The sample size is n = 15
The number of employee that will pass the test is mathematically represented as
[tex]k = n * p[/tex]
substituting values
[tex]k = 15 * 0.91[/tex]
[tex]k = 14 \ employees[/tex]
HELP ASAP PLEASE (25 POINTS) Solve and reduce if possible. 5/12 − 7/8 = ?
Answers
Answer:
-11/24
Step-by-step explanation:
5/12 - 7/8
We need to get a common denominator of 24
5/12 *2/2 - 7/8 *3/3
10/24 - 21/24
-11/24
Answer:
-11/24
Step-by-step explanation:
Well to solve 5/12 - 7/8 we need to find the LCM.
12 - 12, 24, 36, 48
8 - 8, 16, 24, 32, 40
So the LCM is 24.
Meaning we need to make both denominators 24.
12*2 = 24 5*2 = 10
10/24
8*3 = 24 7*3 = 21
21/24
10/24 - 21/24
= -11/24
Thus,
the answer is -11/24.
Hope this helps :)
Find The measure of the unknown angle.
1. Add the two known angles:___+___=___
2. Subtract the sum from 180°: 180-___=___
3. The measure of the unknown angle is:____
Answers
Answer:
L = 45°
Step-by-step explanation:
1. 82° + 53° = 135°
2. 180° - 135° = 45°
3. Angle L is 45°
I hope this helps.
solve the nonlinear system of equations. State the number of solutions.
Answers
Answer:
Step-by-step explanation:
Hello,
Question 15
We can search x such that:
[tex]x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }[/tex]
There is 1 solution.
Question 16
Again, we search x such that:
[tex]x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }[/tex]There are two solutions.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Help me fast please
give the coordinates of the
foci,vertices,and convertices of the ellipse with equation x²/169 + y²/25 = 1
Answers
Answer:
We can see that for this case the vertex is [tex] V= (0,0)[/tex]
The values for a and b are:
[tex] a = \sqrt{169}=13, b= \sqrt{25}=1[/tex]
Then the ellipse have the major axis on x.
In order to find the two foci we need to use the following formula:
[tex] c =\sqrt{a^2 -b^2}[/tex]
And replacing we got:
[tex] c =\sqrt{169-25}= \pm 12[/tex]
And then the two foci are (12,0) and (-12,0)
And the covertex are on this case (-13,0) (13,0) and (0,5) (0,-5) on the y axis
Step-by-step explanation:
For this problem we have the following equation given:
[tex]\frac{x^2}{169} + \frac{y^2}{25}= 1[/tex]
If we compare this with the general expression of an ellipse given by:
[tex] \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1[/tex]
We can see that for this case the vertex is [tex] V= (0,0)[/tex]
The values for a and b are:
[tex] a = \sqrt{169}=13, b= \sqrt{25}=1[/tex]
Then the ellipse have the major axis on x.
In order to find the two foci we need to use the following formula:
[tex] c =\sqrt{a^2 -b^2}[/tex]
And replacing we got:
[tex] c =\sqrt{169-25}= \pm 12[/tex]
And then the two foci are (12,0) and (-12,0)
And the covertex are on this case (-13,0) (13,0) and (0,5) (0,-5) on the y axis
In Sparrowtown, the use of landlines has been declining at a rate of 5% every year. If there are 20,000 landlines this year, how many will there be in 15 years? If necessary, round your answer to the nearest whole number.
Answers
Answer:
5,000
Step-by-step explanation:
If it decreases by 5% a year, it'll decrease by 75% in 15 years
i.e 1 year = 5%
15 years = x
Cross multiply
x = 75%
Therefore, since it decreases by 75%
100 - 75 x 20,000 = 5,000
100
ASAP!!! NEED HELP!!!! Max is stacking logs at his campground for firewood. After his first load of logs, he has 8 logs on the stack. After his seventh load of logs, he has 62 logs on the stack. Use sequence notation to represent the arithmetic function. ANSWER CHOICES: A. an = 8 + 6(n − 1) B. an = 62 + 6(n − 1) C. an = 8 + 9(n − 1) D. an = 62 + 9(n − 1)
Answers
Answer: Choice C. an = 8 + 9(n-1)
===========================================
Work Shown:
a1 = 8 is the first term
a7 = 62 is the seventh term
an = a1+d(n-1) = nth term of arithmetic sequence
a7 = a1+d(7-1) ... plug in n = 7; solve for d
62 = 8+d(6)
62 = 6d+8
6d+8 = 62
6d = 62-8
6d = 54
d = 54/6
d = 9 is the common difference
an = a1 + d(n-1)
an = 8 + 9(n-1) is the nth term of this arithmetic sequence
Answer:
Choice C. an = 8 + 9(n-1)
Step-by-step explanation:
I just took the test
A group of students were asked to choose their favorite course. The results are shown in the two-way frequency table. Which of the following can be concluded from the joint and marginal frequencies of the table? Math is the most popular subject in the 10th grade. History is the least popular subject in the 9th grade. Science is more popular than math among 12th grade students. Students in the 11th grade like English more than students in the 12th grade. The overall favorite course is history.
A.) III and IV only
B.) II and V only
C.) I, III, and V
D.) II and IV only
Answers
The answer is C.) I, III, and V
The statement 1, 2, and 5 will be correct hence option (C) will be correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
In other words, a frequency table is a table in which we have some data and their frequency.
The frequency of an occurrence or a value is the number of times it happens.
In option (C)
1st statement;
Math is the most popular subject in the 10th grade.
In 10th grade, maths is 104 rest are less so it is correct.
3rd statement;
Science is more popular than math among 12th-grade students.
The number of science lovers in the 12th is 78
The number of maths lovers in 12th is 52
So it is also correct.
5th statement;
Overall favorite course is history.
A number of overall favorite courses is history = 403 which is higher than others hence it is also correct.
So option (C) is correct rest are incorrect.
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What value of x is I the solution set of 3(x-4)>5x+2
Answers
Answer:
-7 > x
Step-by-step explanation:
3(x-4)>5x+2
Distribute
3x-12>5x+2
Subtract 3x from each side
3x-12-3x>5x-3x+2
-12 > 2x+2
Subtract 2 from each side
-12-2>2x+2-2
-14 > 2x
Divide by 2
-14/2 > 2x/2
-7 > x
Answer:
[tex]\boxed{x<-7}[/tex]
Step-by-step explanation:
3(x-4)>5x+2
Expand brackets.
3x - 12 > 5x+2
Subtract 3x and 2 on both sides.
-12 - 2 > 5x - 3x
-14 > 2x
Divide both sides by 2.
-7 > x
Switch sides.
x < -7
A 4 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?
Answers
Answer:
3 feet
Step-by-step explanation:
To find x, we can write the following equation:
x + 4 + x = 10
2x + 4 = 10
2x = 6
x = 3 feet
i know the answer i just need the working! please help...
Answers
=====================================================
Work Shown:
A = mass, in kg, of 1 apple
B = mass, in kg, of 1 empty basket
10A = mass of 10 apples
10A+B = mass of 10 apples and basket = 0.5
35A = mass of 35 apples
35A + B = mass of 35 apples and basket = 1.05
The system of equations we have is
[tex]\begin{cases}10A+B = 0.5\\35A+B = 1.05\end{cases}[/tex]
There are a number of ways to solve. As the top left corner of your paper indicates, we can use a matrix to solve. Either using row reduction or matrix inverse math.
We could also use elimination which I find easiest in this case. I'll use that method. Subtract the equations straight down. Note how the B terms become B-B = 0B = 0 which go away. The A terms become 10A-35A = -25A, and the terms on the right hand side become 0.5-1.05 = -0.55
--------
We're left with the equation
-25A = -0.55
Divide both sides by -25 to isolate A
A = -0.55/(-25)
A = 0.022
The mass of one apple is 0.022 kg
--------
Use this value of A to find B
10A + B = 0.5
10*0.022 + B = 0.5
0.22 + B = 0.5
B = 0.5 - 0.22
B = 0.28
Or we could use the other equation to solve for B
35A + B = 1.05
35(0.022) + B = 1.05
0.77 + B = 1.05
B = 1.05 - 0.77
B = 0.28
Either way, the empty basket's mass is 0.28 kg
PLEASE HELP!!! Select the three statements that give benefits of having a savings account. A. When I withdraw money from my savings account too many times, I can be charged a fee. B. When I put money in a savings account, the bank will pay me interest. C. If there were an emergency, I would have the money to cover expenses. D.When I use a savings account, my money is insured by the FDIC up to $250,000.
Answers
Answer:
answer is B
Step-by-step explanation:
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 6 days. 72% of all of these types of trials are completed within how many days
Answers
Answer:
25.5 days
Step-by-step explanation:
Mean number of days (μ) = 22 days
Standard deviation (σ) = 6 days
Z-score for the 72nd percentile (according to tabulated values) = 0.583
The z-score for any number of days, X, is determined by:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
The value of X that is greater than 72% of the trial times is:
[tex]0.583=\frac{X-22}{6}\\ X=25.5\ days[/tex]
Therefore, 72% of all of these types of trials are completed within 25.5 days.
One variable in a study measures how many serious motor vehicle accidents a subject has had in the past year. Explain why the mean would likely be more useful than the median for summarizing the responses of the 60 subjects.
Answers
Answer:
The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5 or greater or much lesser than the average. It would not give an approximate value of occurrences.
Step-by-step explanation:
Mean is the averaage of all the values.
Median is the value of the data which gives an estimate of the middle value. Middle values can be different than the average values.
The mean is
1) rigorously defined by a mathematical formula.
2) based on all the observations of the data
3) affected by extreme values
The meadian is
1) computed for open end classes like income etc.
2) not rigorously defined
3) is located when the values are not capable of quantitative measurment.
4) is not affected by extreme values.
The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5 or greater or much lesser than the average. It would not give an approximate value of occurrences.
please answer me question 3 solving part
Answers
Answer:
1. D
2. B
3. A
Step-by-step explanation:
Question 1:
The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.
Question 2:
Given that <KLM = x°
<KML = 50°
<JKL = (2x - 15)°
According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.
2x - 15 = x + 50
Solve for x
2x - x = 15 + 50
x = 65
Therefore, <KLM = 65°
QUESTION 3:
<JKL = 2x - 15
Plug in the value of x
<JKL = 2(65) - 15
= 130 - 15
<JKL = 115°