Solve the following quadratic equation:
x ² = 9x - 14
x = ? OR x = ?
PLS HELP ME
Answer:
x = 2 or x =7
Step-by-step explanation:
move the 9x and 14 to the other side of the = sign.
this gives x² - 9x + 14 = 0.
for this question we can factorise (use parentheses). but i will also show how to use quadratic formula too.
for factorising we need two number that, when multiplied together, give an answer of 14. but when the same two number are added, they give -9.
(x - 2) (x -7) will work since -2 X -7 = +14. -2 + -7 = -2 - 7 = -9.
(x - 2) ( x - 7) = 0. That means either x =2 or x =7.
for quadratic formula:
x² means just 1 multiplied by x². think of it as a '1' in front.
x² - 9x + 14 = 0
1 and -9 are coefficients. 14 is a constant (meaning it is not with either an x).
x is a variable.
the quadratic formula is:
x = (-b ± √(b² - 4ac) ÷ 2a)
where a is the value of the first coefficient, b is value of the second and c is value of the constant.
x = (- (-9) ± √((-9)² - 4(1)(14) ÷ 2(1))
= (9 ± √(81 - 56)) ÷ 2)
= (9 ± 5) ÷ 2
= 14/2 or 4/2
= 7 or 2, as above
I need help on a problem
a) In the given triangles : ABC & FLE
The ratio of coorespodings sides are :
\(\frac{AB}{FL}=\frac{6}{6},\text{ }\frac{BC}{LE}=\frac{4.5}{4.5},\text{ }\frac{CA}{EF}=\frac{7.5}{7.5}\)as the ratio of the corresponiding sides are equal to 1
If the ratio of corresponding sides of two triangles are equal then the triangles are similar
Thus, Triangle ABC is similar to triangle FLE
\(\Delta ABC\approx\Delta FLE\)b) In the given two triangles : ABC & FLE
The length of corresponding sides of triangle are equal
AB = FL = 6
BC = LE = 4.5
CA = EF = 7.5
All the sides are equal, thus by Side Side Side Congurency, triangle ABC and FLE are congurent
\(\Delta ABC\cong\Delta FLE\)c)
\(\begin{gathered} \text{ Similar symbol is : }\approx \\ \text{Congureny sysmbol is :}\cong \end{gathered}\)In similar triangles, the side ratio should be equal where as in congurent the sides should be equal.
As if all the sides are equal then, the corresponding sides ratio are equal to 1, thus they varify the property of similar triangle,
Hence, Triangle are also similar if all sides are equal
It concluded that : All congurent triangles are similar triangle but all similar triangle are not congurent.
The mathematics choose the symbol ≅, because it show a sign of equal and by ~ it show similar.
The list shows the number of students on five different buses.
35,47,52,40,21
What is the mean absolute deviation of the number in the list?
The mean absolute deviation of the number in the list is 8.8
How to calculate the mean absolute deviation of the number in the list?Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:
MAD =∑|x-m|/n
∑ is known as Sigma and means to sum up
| | are vertical bars that mean absolute value
x is each value
m is the mean
n is the total number of data points in your data set
Given: 35,47,52,40,21
n = 5
m = (35 + 47 + 52 + 40 + 21) /5 = 195/5 = 39
∑|x-m| = |35-39| + |47-39| + |52-39| + |40-39| + |21-39|
= 4 + 8 + 13 + 1 + 18 = 44
MAD =∑|x-m|/n = 44/5 = 8.8
Therefore, the mean absolute deviation of the number in the list is 8.8
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a real estate agent believes that the value of houses in the neighborhood she works in has increased from last year. to test this claim, she randomly selects houses in this neighborhood and compares their estimated market value in the current year to their estimated market value in the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. assume that the values are normally distributed. using a test statistic of t≈7.496, the significance level α
The hypothesis is called the alternative hypothesis test.
According to the statement
We have to explain about the alternative hypothesis.
So, For this purpose, we know that the
The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.
From the given information:
she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.
Then
the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.
Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.
So, The hypothesis is called the alternative hypothesis test.
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Question 7 a data analyst is working with a data frame named salary_data. They want to create a new column named wages that includes data from the rate column multiplied by 40. What code chunk lets the analyst create the wages column?.
Code chunk is created the wages column using analyst technique. mutate(salary_data, hourly_salary = wages/40) .
By using data analyst technique in which the mutate() function is used to create a new column for wages which is divided by 40 known as hourly_salary. The mutate() function in which it adds a new column and leaves existing columns .
A data analyst who collects, cleans, and interprets large amounts and contents of data in order to simplify ,answer questions to a particular problem in a standard manner . The team people work in a wide range of industries, including business, finance, criminal justice, science, medicine, and government of utilization of process.
Role of a Data Analyst makes more crucial in modern technician businesses, assisting in the modern reflection of the company's work and customer related base, determining in such way that how these factors have been affected by profits, and advising modern leadership on to move forward to grow the business in the modern world .
hence , code chunk is discussed based on the analyst at the column of wages and also detailed about how does the data analyst is working with the data frame wages which includes data at the rate of column and multiplied by 40.
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A code chunk which lets the analyst create the wages column include the following: A. mutate(salary_data, wages = rate * 40).
What is a mutate function?In Computer programming, a mutate function can be defined as a type of function in R programming that is primarily used for the creation of a new variable from a list of data set while preserving existing variables or existing columns.
What is an executable code in R Studio?In this scenario, the code chunk which would let the data analyst create the wages column from the rate column should be written in R Studio (R programming) as follows:
mutate(salary_data, wages = rate * 40).
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Complete Question:
A data analyst is working with a data frame named salary_data. They want to create a new column named wages that includes data from the rate column multiplied by 40. What code chunk lets the analyst create the wages column?
A. mutate(salary_data, wages = rate * 40)
B. mutate(salary_data, wages = rate + 40)
C. mutate(wages = rate * 40)
D. mutate(salary_data, rate = wages * 40)
What are all the rational roots of the polynomial f(x) = 20x4 x3 8x2 x – 12? negative four-fifths and three-fourths negative four-fifths and negative three-fourths –1, negative four-fifths, three-fourths, and 1 –1, negative four-fifths, negative three-fourths, and 1
The root of the polynomial f(x) = 20x⁴ + x³ + 8x² + x - 12 is at the point -4/5 and 3/4
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the polynomial:
f(x) = 20x⁴ + x³ + 8x² + x - 12
The root of the polynomials is at the point the graph of f(x) intersects with the x axis. This is at -4/5 and 3/4
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Answer:
A
Step-by-step explanation:
Did it on edge :)))
julian needs to spend at least seven hours each week practicing the drums. he has already practiced five and one third hours this week. he wants to sp
The minimum number of hours is 5/6 and the inequality is x ≥ 5/6 hours.
What exactly is an inequality?An inequality is a relationship that compares two numbers and perhaps other mathematical expressions that are not equal. It is most commonly used to compare the sizes of two numbers on a number line.
According to the given data:Let x = the number of hours practicing the drums
we know that Julian needs to spend at least seven hours each week practicing
the drums x ≥ 7 hours
He has already practiced 5*(1/3) hours this week.
Convert mixed number to an improper fraction 5*(1/3) = 16/3hours.
Subtract 16/3 from 7,
7 - (16/3)
= 5/3
Divide 5/3 by 2,
(5/3)/2
=5/6
Hence,
The inequality that represent the minimum number of hours he needs to practice on each of the two days is x ≥ 5/6 hours.
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The given question is not complete.
Julian needs to spend at least seven hours each week practicing the drums. He has already practiced 5 1/3 hours this week. He wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours he needs to practice on each of the two days.
Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.
Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.
Part B: How much would the repairs be if it took 3 hours?
Part C: What is the meaning of the slope in Part A?
Part D: What is the meaning of the y-intercept in Part A?
Answer:
a 75x+165=y
b 75(3)+165=390
c 75x is the cost increasing for each hour
d y-intercept=165, it cost at least 165 for the parts
Step-by-step explanation:
x/2-6=4 Solve pls i rly need help
Answer:
x = 20
Step-by-step explanation:
Solve for x:
Add six to both sides: x/2 - 6 = 4
Multiply by 2 to both sides: x/2 = 10
x = 20
Answer:
x= 20
Step-by-step explanation:
Find common denominator
Combine fractions with common denominator
Multiply the numbers
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
×/2 - 6 = 4
x - 12 = 8
Add 12 to both sides
x - 12 = 8
x - 12 + 12 = 8 + 12
x = 20
help me please i need help
Answer:
its blurry for me sorry
Step-by-step explanation:
select all the names that apply to the polygon?
Answer: triangle quadrilateral,pentagon,hexagon,octagon,nonagon,decagon
Step-by-step explanation:
Can anyone help me on this please
Answer:
b?
Step-by-step explanation:
a survey conducted a local university asked students how many hours they studied a week. the survey showed that on average, students at this university study 7.5 hours per week with a standard deviation of 1.25 hours. what percentage of students study between 5 hours and 10 hours per week?
We can conclude that approximately 95.45 is the percentage of the students at this university study between 5 and 10 hours per week.
To find the percentage of students who study between 5 and 10 hours per week, we need to calculate the z-scores for these values and use the standard normal distribution.
The z-score for 5 hours is:
z = (5 - 7.5) / 1.25 = -2
The z-score for 10 hours is:
z = (10 - 7.5) / 1.25 = 2
Using a standard normal distribution table or a calculator, we can find that the area under the curve between -2 and 2 is approximately 0.9545. This means that approximately 95.45% of the students study between 5 and 10 hours per week.
Therefore, we can conclude that approximately 95.45% of the students at this university study between 5 and 10 hours per week.
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Identify the population and the samle:
A survey of 1300 credit card found that the average late fee is $25.75.
A- Population: Collection of all credit cards
Sample: Collection of the 1300 credit cards sampled
B- Sample: Collection of all credit cards
Population: Collection of the 1300 credit cards sampled
C- Population: Collection of all credit cards
Sample: Late fee is $27.46
D- Population: Collection of the 1300 credit cards sampled
Sample: Late fee is $27.46
Option A is correct:
Population: Collection of all credit cards
Sample: Collection of the 1300 credit cards sampled
Option B is incorrect because it has the sample and population reversed.
Option C is incorrect because it states that the sample late fee is \($27.46\), which contradicts the information given in the question that the sample mean is\($25.75\) .
Option D is incorrect because it states that the sample late fee is \($27.46\), which contradicts the information given in the question that the sample mean is, and it also reverses the sample and population.
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During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.19 centimeters of snow fell in Alperen's hometown.
Answer:
5.64 cm
Step-by-step explanation:
Required:How much more rain fell in Dubaku's town than in Elliot's town?
8 centimeters of rain fell in Dubaku's hometown
2.36 centimeters of rain fell in Elliot's hometown
We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:
Difference in rain= 8-2.36
Difference in rain= 5.64 cm.
Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.
Answer:
5.64
Step-by-step explanation:
Complete the following sentence. The slope of the graph of y = 5 x is ___
Answer:
We conclude that the slope of the graph of y = 5 x is 5.
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the line
y = 5x
comparing with the slope-intercept form of the line equation
The slope of the line = m = 5
Therefore, we conclude that the slope of the graph of y = 5 x is 5.
b(x) =(x+4) (x-2)^3 . What are the zeros of b(x)?
Answer:
-4, 2
Step-by-step explanation:
I plugged into desmos.
Help me with this circle question
Answer:
50.265482457436 inches
Step-by-step explanation:
radius = 8 inches
C = 2×pi×r
= 2×pi×8
C = 50.265482457436 inches
HELP ASAP!!!.
Molly wants to laminate a painting. The painting is a square that has an area of 225 square inches. The laminator charges 0.24 per square inch of lamination. How much will it cost Molly to laminate the entire painting?
Answer:
$54
Step-by-step explanation:
Since its $0.24 per 1 square inch, you would multiply 0.24 by the total amount of square inches. When we do this, we get 54 as our answer.\
Hope this helps!
Question 1
Find the mean, median, and mode(s) of the data. Do not round.
48, 12, 11, 45, 48, 48, 43, 32
The mean is
.
The median is
.
The mode is
.
Question 1
Find the mean, median, and mode(s) of the data. Do
Question 1
Find the mean, median, and mode(s) of the data. Do not round.
48, 12, 11, 45, 48, 48, 43, 32
The mean is
.
The median is
.
The mode is
.
An astronaut that weighs
180 on Earth only weighs
30 pounds on the moon.
If on astronaut weights
25 pounds on the moon,
how much would they
weight on earth?
Answer:
150 pounds
180/30=6 so whatever other weight you get will have to be a multiple of 6
25*6=150
Step-by-step explanation:
Answer:*80 pounds
Step-by-step explanation:
25 pounds on Earth
4 pounds on the Moon
=
500 pounds on Earth
? pounds on the Moon
Compare the numerators.
25pounds on Earth
4 pounds on the Moon
=
500pounds on Earth
? pounds on the Moon
To get from 25 to 500, multiply by 20. Multiply the numerator and denominator by 20 to find how many pounds the astronaut would weigh on the Moon.
25 pounds on Earth20
4 pounds on the Moon20
=
500 pounds on Earth
80pounds on the Moon
The astronaut would weigh 80 pounds on the Moon.
The grizzly bear population
increases
at a rate of 4%
per year. There are 1289
bears this year. How
many bears will there be in
8 years?
While reading about a research study, which of the following would tell you that an association claim is being
made?
a. The presence of a scatterplot or bar graph
b. The measurement of two variables
c. The use of a correlation coefficient
d. The interrogation of internal validity
The answer to this question is c.The use of a correlation coefficient.
The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.
A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.
Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.
Therefore,the answer to this question is c.The use of a correlation coefficient.
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Find the value of x
Please show work!!
Answer:
x = 6
Step-by-step explanation:
8x + 7x = 90
15x = 90
x = 6
What is absolute value?
The distance a number is from O on a number
line.
The Additive Inverse Property
The opposite of a number
Answer:
the distance a number did from 0 onna number line
Y is directly proportional to x when y =30 x = 6
Answer:
a) 5x = y
b) 5 (12) = 60
Step-by-step explanation:
a) 5x = y when x is 6 y is 30
5(6) = 39
b) 5 (12) = 60
find the lowest number which leaves 3 as remainder when divided by 8,12 and 16
Answer:
147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?
put the following events in order from oldest to most recent:
a. WWII
b. Sykes-Picot agreement
c. Israel becomes a state in 1948
d. Balfour Declaration
e. WWI
Answer:
e. WWI » 1914
b. Sykes-Picot agreement » 1916
d. Balfour Declaration » 1917
a. WWII » 1945
c. Israel becomes a state » 1948
Step-by-step explanation:
\(.\)
Fill in the table using this function rule.
y = 4x+2
X
-2
0
2
4
y
0
0
0
0
X
D
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
y = 4x + 2
At x = - 2, the value of 'y' is given as,
y = 4 × (-2) + 2
y = - 8 + 2
y = - 6
At x = 0, the value of 'y' is given as,
y = 4 × (0) + 2
y = 0 + 2
y = 2
At x = 2, the value of 'y' is given as,
y = 4 × (2) + 2
y = 8 + 2
y = 10
At x = 4, the value of 'y' is given as,
y = 4 × (4) + 2
y = 16 + 2
y = 18
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
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Step-by-step explanation:
Please here it is.
Given y = 4x + 2
Find m
A 36
B 132
C 24
D 12
Answer:
12
Step-by-step explanation:
sum of all angles of triangle =180
3x-12+2x+11x=180
16x-12=180
16x=192
x=12
___________
\( \: \)
\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)
3x - 12 + 2x + 11x = 180°
16x - 12 = 180°
16x = 180 + 12
16x = 192
x = 192 ÷ 16
x = 12✔ (D.)