as
Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].
![AsComplete The Equation Describing How Xand Y Are Related.-2-10123-8-5-214y = [? ]x +Enter The Answer](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qadoDYS9dNp2MAdPWaAQMA7pF5aJj5CU.png)
Answers
Answer:
\( y = 3x - 2 \)
Step-by-step explanation:
The equation that describes how x
and y are related is given in the slope-intercept form, \( y = mx + b \)
Where, m = slope, and b = y-intercept.
Let's find the value of m and b using the table of values given.
Using two of the pairs given, (-2, -8) and (-1, -5),
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-8)}{-1 -(-2)} = \frac{3}{1} = 3 \)
Substitute x = -2, y = -8, and m = 3 in \( y = mx + b \) to find the value of b.
Thus:
\( -8 = (3)(-2) + b \)
\( -8 = -6 + b \)
Add 6 to both sides
\( -8 + 6 = b \)
\( -2 = b \)
Substitute m = 3 and b = -2 in \( y = mx + b \).
The equation that describes how x
and y are related would be:
\( y = 3x - 2 \)
Related Questions
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Answers
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. \(8a^{9} -4a^{3} +1\)
Step-by-step explanation:
Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :
\(r(2a^{3} )\) is the same as saying \(x=2a^{3}\)So, we have \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)Solve for \(r(2a^{3} )\) :
1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)
Start with simplifying \((2a^{3})^{3}\)\((2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}\)When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)
Simplify \(2(2a^{3})\)Multiply two times the quantity\(2(2a^{3})=4a^{3}\)3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
Answer:
So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).
Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
Answers
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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the original piece of a book is $25. the book is on sale for 30% off. what percent are we paying? what is the price you will pay for the book
show work please and thank you :)
Answers
Answer:
$17.50
Step-by-step explanation:
multiply 25 and 30, the divide the answer by 100, the deduct that result from the original price
find 100th term if first is 2 and the recursive rule is 5
Answers
Answer:
502
Step-by-step explanation:
100 * 5 + 2 = 505
Answer:
To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.
The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:
The first term is 2.
The second term is 2 * 5 = 10.
The third term is 10 * 5 = 50.
The fourth term is 50 * 5 = 250.
And so on...
Iterating this rule 99 times gives us:
The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.
Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.
3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
Answers
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Answers
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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36 is divisible by which of the following numbers?
Answers
Answer:
divisible by
1
2
3
4
6
9
12
18
36
Step-by-step explanation:
Which expression is equivalent to 6√8 √√2?
A. 48√/2
B. 24
C. 24√2
D. 48
Answers
Answer:
\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)
B is the correct answer.
Easy question, pls explain:
In a particular class, 72% of the students have black hair. Five black-haired students leave the class, so that now 65% of the students have black hair. How many students were originally in the class?
Answers
Answer:
72% are black haired - 5 students becomes 65% students are black haired.
meaning 7% are 5 students
Base = Percentage/Rate
Base = 5/0.07
Base = 71 students
CHECKING71 (students) * 0.72 (rate of black haired) = 51
There are 51 black hair students51 - 5 (leave the class) = 46 students
71 (students) * 0.65 (rest of black hair) = 46 students
Therefore, we checked our answers and its correctThere are total of 71 students in the class. 51 are black hair, but since 5 left, there will be 46 black hair students leftStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
x+2=7,x=........?Please help
Answers
Answer:
5
Step-by-step explanation:
5 + 2 = 7
Plz help brainlest if correct
Answers
Answer:
Help with what....????
Step-by-step explanation:
A study found that the most popular band from the 1960s was the Beatles Which of the following statistical measurements most likely led to this conclusion?A mediantB. modeC. meanD.range
Answers
It is given that,
A study found that the most popular band from the 1960s was the Beatles
It is obvious that, there was so many bands from 1960s. And the Beatles was the most popular band from the 1960s.
So, This data " the most popular band "represents the number of people who like this band most.
Definition for the mode is, it is the value that appears most frequently in a data set.
Hence, Mode - the statistical measurements most likely led to this conclusion.
Therefore, the correct option is option B.
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
Answers
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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Nearsightedness: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.
(a) What proportion of children in this sample are nearsighted?
(b) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?
(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (the Z statistic).
(d) What is the p-value for this hypothesis test?
(e) What is the conclusion of the hypothesis test?
Answers
Answer:
a)the proportion of student is 0.1082
b)
H1: p = .08
H2: p not equal to 0.08
H1: p =0 .08
H2: p < .08
H1: p =0 .08
H2: p >0 .08
c)z=1.45
d) the p value is 0.1470
e)null hypothesis cannot be accepted,There is no enough evidence to reject the null hypothesis.
Step-by-step explanation:
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answers
The true statement, regarding the signal of the graphed function, is given by:
F(x) > 0 over the interval (–∞, –4).
When a function is positive and when it is negative?Looking at it's graph, we have that:
The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.Researching this problem on the internet and looking at the graph of the function, the function is negative for all values to the right of x = -4, and positive to the left, hence the correct statement is given by:
F(x) > 0 over the interval (–∞, –4).
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how do i get rid of the stupld
Answers
Answer:
wdym get rid of the "stupld"
Step-by-step explanation:
Answer:
Study, ask teachers questions, email, use this app, etc.
Step-by-step explanation:
If you study for a test/exam. Look over the study guide and recite it for 20 minutes and take a 10 minute break. Then pretend you're explaining the subject to someone for 20 minutes and take a 10 minute break. Then go over the study guide again and see if you missed anything while explaining and then explain it again but this time with the things you missed. Repeat if necessary. Flashcards on quizlet n stuff can help too.
Select all that apply
Answers
Answer: integer and rational
Step-by-step explanation:
Which expression is equivalent to 4^7/8
4^1/4?
Answers
Last year, Tammy opened an investment account with $8200 . At the end of the year, the amount in the account had decreased by 7.5% . How much is this decrease in dollars? How much money was in her account at the end of last year?
Answers
1. The decrease in dollars, based on a 7.5 percent decrease, is $615.
2. The balance in the account at the end of last year was $7,585.
What is a percentage?A percentage is a ratio or proportion of a variable in another.
For instance, the percentage decrease in the investment account was 7.5%, which in dollar terms amounts to $615.
The percentage reference gives an idea of the investment status and the fractional effect that the decrease had on it.
Initial investment = $8,200
Decrease in investment = 7.5%
Decrease in dollars = $615 ($8,200 x 7.5%)
Balance = $7,585 ($8,200 - $615)
Thus, Tammy's investment account decreased to $7,585 by $615, representing a 7.5% decrease.
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In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9
Answers
Answer:
B
Step-by-step explanation:
There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle
4 countries could be first
3 countries could be second
2 countries could be 3rd
1 country can be last.
4*3 * 2 * 1 = 24 different ways.
-4x - 18 = 46
need help
Answers
Answer:
x=−16
Step-by-step explanation:
−4x−18=46
Add 18 to both sides
−4x−18+18=46+18
−4x=64
Divide both sides by -4
-4x/4=64/-4
x=−16
Answer:
x= -16
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x − 18 = 46
Step 1: Add 18 to both sides.
−4x − 18 + 18 = 46 + 18
−4x = 64
Step 2: Divide both sides by -4.
−4x / −4 = 64 / -4
x=−16
Hope it helps T-T
A transponder for a toll bridge costs $17.50. With the transponder, the toll is $5 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $7.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
Answers
Answer: you would need to cross the bridge 5 times
Step-by-step explanation:
costing a total of $42.50 for each option.
hope this helps
What is the function the matches the graph?
Answers
the rest is on this graph since i suck at explaining
Can anyone help me with this question please
Answers
Answer:
1 = 130° , 2 =50° , 3 = 85°, 4=45°
Step-by-step explanation:
1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}
2 = 180 - 1 { angles on a straight line equals 180}
= 180 -130 = 50°
4 = 180 - 135 = 45° { angles on a straight line equals 180}
3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}
3 = 135-50 = 85°
Note : sum of opposite interior angles equals external exterior angle, let's prove it:
If we look at the triangle at the bottom left, we have :
85, 45 and r { let's denote r as the missing angle}
So 85 + 45 + r = 180° { sum of angles of a triangle}
By simple arithmetic
r = 180 - ( 85+45) = 180 - 130 = 50°
but r + 4 = 180° { sum of angles in a straight line equals 180°}
4 = 180 - 50 = 130°
So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}
Solve using substitution.
y = –6
–8x − 7y = –6
Answers
Okay so you put -6 in where y is then solve and youll get your answer
-8x-7(-6)=-6
Southside High School found that 80% of last year's sold-out plays occurred
during weekend performances. Based on this information, the drama teacher
decided to add another performance time on Saturday. This decision is a
result of
OA. describing data
OB. making an inference
OC. creating involvement
D. collecting data
Answers
Answer:
B. making an inference.
Step-by-step explanation:
The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.
consider the following sets of sample data: a: 3.97 , 3.47 , 3.99 , 4.30 , 3.16 , 3.07 , 4.24 , 2.94 , 3.56 , 3.43 , 3.06 , 3.34 , 4.35 , 3.57 b: $24,800 , $30,000 , $22,300 , $20,400 , $19,000 , $32,200 , $23,000 , $23,000 , $24,000 , $27,200 , $34,900 step 1 of 2 : for each of the above sets of sample data, calculate the coefficient of variation, cv. round to one decimal place.
Answers
The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.
Calculation of Coefficient of Variation:The formula for calculating the coefficient of variation is:
CV = (standard deviation / mean) x 100%
where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.
To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.
Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65
The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.
CV = (0.574 / 3.65) x 100% = 15.7%
To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.
Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27
The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.
CV = ($5,746.38 / $25,727.27) x 100% = 22.3%
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5t+7+8b
I need also help on -2(x+3)=_-6
Answers
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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