please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?
Answers
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)
Related Questions
divide using long division
(3r³ +11r²-6r-18)÷(r + 4)
Answers
Answer:
To divide using long division, we first divide the leading term of the dividend (3r³) by the leading term of the divisor (r) to get the first term of the quotient (3r²). Then, we multiply the divisor (r + 4) by the quotient term (3r²) and subtract it from the dividend. We then bring down the next term of the dividend (11r²) and repeat the process. This will give us the quotient and the remainder.
The long division process is as follows:
(r + 4) | (3r³ +11r²-6r-18)
| 3r² (3r²)
|__
| -9r² +11r²-6r-18
|____
| -2r-18
|____
| +12r + 72
|____
| -36
|____
So the quotient is 3r² - 2r + 12 and the remainder is -36
And we can write the division as (3r³ +11r²-6r-18)÷(r + 4) = 3r² - 2r + 12 +(-36)/(r + 4)
A salesperson makes $10 a day, and also makes $5 per item they sell. Write an expression to represent how much the salesperson earns everyday if they sell n items.
Answers
The expression that shows how much the individual earns everyday if they sell n items would be = $5 × n = $5n.
How is a salesperson?A salesperson is an individual that helps in the marketing and selling of goods and products for a company and who is equally rewarded with bonus after each sale that is made.
The amount of money that the salesperson makes = $10/day
The amount of money given as bonus for each item sold = $5
Therefore when the number of items sold = n, the amount made = $5 × n = $5n
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Find the slope of the line between the following points. (a) x = 3 and x = 3.1 (b) x = 3 and x = 3.01 (c) x = 3 and x = 3.001 Now use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 +h)), (h 0). (Simplify your answer completely.) What do these slopes tend toward as h is made closer and closer to 0?
Draw the graph of the function y = f(x) = 2/x between x = 1/2 and x = 4.
Answers
The slope is (2/3 - 2/(3+h))/ h and as h is made closer and closer to 0, the slopes of the lines tend toward the derivative of the function f(x) at x = 3.
a) To find the slope of the line between the points (3, f(3)) and (3.1, f(3.1)), we use the formula m = (f(3.1) - f(3)) / (3.1 - 3) = (f(3.1) - f(3)) / 0.1
b) To find the slope of the line between the points (3, f(3)) and (3.01, f(3.01)), we use the formula m = (f(3.01) - f(3)) / (3.01 - 3) = (f(3.01) - f(3)) / 0.01
c) To find the slope of the line between the points (3, f(3)) and (3.001, f(3.001)), we use the formula m = (f(3.001) - f(3)) / (3.001 - 3) = (f(3.001) - f(3)) / 0.001
As h is made closer and closer to 0, the slopes of the lines tend toward the derivative of the function f(x) at x = 3.
Now to find a simplified rational expression for the slope of the line between (3, f(3)) and (3 + h, f(3 +h)), (h 0) :
The slope is equal to (f(3+h) - f(3)) / h
With f(x) = 2/x, we substitute it into the equation above and we get (2/(3+h) - 2/3) / h
The simplified rational expression for the slope is (2/3 - 2/(3+h))/ h
The graph of y = f(x) = 2/x between x = 1/2 and x = 4 :
This is the graph of a hyperbola that is symmetric about the y-axis and passes through the origin (0,0) and as x increases from 1/2 to 4, y decreases from 4 to 1/2.
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Question 7 of 10
Which of the following presents the correct order of buttons to press on a
scientific calculator to enter 2.8 x 107?
OA. [2] [] [8] [EE] [7]
OB. [EE] [7] [2] [.] [8]
OC. [2] [] [8] [7] [EE]
O D. [EE] [7] [2] [.] [8]
Answers
The required order of buttons to press on a scientific calculator to enter 2.8 x 10⁷ is [2] [.] [8] [EE] [7] . Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
While using the calculator, for the expression 2.8 × 10⁷,
We have to tap on tabs as, [2] [.] [8] [EE] [7] where [.] is the multiplication operator and {EE} is the exponential operator.
Thus, the required order of buttons to press on a scientific calculator to enter 2.8 x 10⁷ is [2] [.] [8] [EE] [7] . Option A is correct.
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Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%.
a. At the end of the 3 1/2 years, how much interest has he paid? ________
b. When Damian pays off his credit card, how much will he have paid in all? _____
Answers
a. At the end of the 3 1/2 years, the amount of interest Damian has paid is $4,288.73.
b) When Damian pays off his credit card, the total amount (principal and interest) he has paid will be $14,488.73.
How is the interest determined?The interest is computed using an online finance calculator, setting the following parameters, based on the compounding interest system.
The calculator also shows the total payments made for the duration of the credit balance.
N (# of periods) = 42 months (3.5 years x 12)
I/Y (Interest per year) = 21%
PV (Present Value) = $10,200
FV (Future Value) = $0
Results:
PMT = $344.97
Sum of all periodic payments = $14,488.73
Total Interest = $4,288.73
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The police department in your city was asked by the mayor’s office to estimate the cost of crime. The police began their study with burglary records, taking a random sample of 500 files. If the average dollar loss in a burglary, for this sample size 500 is $678, with a standard deviation of $560, construct the 95% confidence interval for the true average dollar loss in burglaries rounded to the nearest dollar amount.
Answers
The 95% confidence interval for the true average dollar loss in burglaries rounded to the nearest dollar amount is given as follows:
($629, $727).
What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The parameters for this problem are of:
[tex]\overline{x} = 678, \sigma = 560, n = 500[/tex]
Hence the lower bound of the interval is of:
[tex]678 - 1.96\frac{560}{\sqrt{500}} = 629[/tex]
The upper bound of the interval is of:
[tex]678 + 1.96\frac{560}{\sqrt{500}} = 727[/tex]
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cashews worth $5.75 a pound with peanuts worth $2.10 a pound to get a half-pound mixed nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?
OA 0.10 lb of cashews and 0.90 lb of peanuts
OB. 0.233 lb of cashews and 0.267 lb of peanuts
OC. 0.07 lb of cashews and 0.93 lb of peanuts
OD. 0.267 lb of cashews and 0.233 lb of peanuts
Answers
Therefore , as a result, the answer to the provided linear equation is 5/23 pounds of cashews and 13/46 pounds of peanuts.
Define linear equation.A linear equation is characterized as having a max of just one degree. A Any equation with a maximum degree of 2 or above is considered to be nonlinear. A graph with a linear equation has a straight line. A curve is created on the graph by a nonlinear equation.
Here,
Half of x is equal to the weight of peanuts,
so if x is the weight in pounds of cashews.
Ours has
=>5.75 x + 2.30 (1/2 x)
=>575x+115−230x =190
=> 1.90 x=75/345 = 5/23 pounds of cashews
Pounds of peanuts:
=> 1/2−x=23/46 −10/46= 13/46
As a result, the answer to the provided linear equation is 5/23 pounds of cashews and 13/46 pounds of peanuts.
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What is the value of k in the function f(x)=2-k/5x-k if it passes through the point (3,-2/19)
Answers
The value of k from the equation is k = 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( 2 - k ) / ( 5x + k ) be equation ( 1 )
Now , the equation passes through the point P ( 3 , -2/19 )
On simplifying the equation , we get
Substituting the values of x and y in the equation , we get
y = ( 2 - k ) / ( 5 ( 3 ) + k ) )
-2/19 = ( 2 - k ) / ( 15 + k )
Multiply by ( 15 + k ) on both sides of the equation , we get
-2 ( 15 + k ) / 19 = 2 - k
Multiply by 19 on both sides of the equation , we get
-30 - 2k = 38 - 19k
Adding 2k on both sides of the equation , we get
38 - 17k = -30
Subtracting 38 on both sides of the equation , we get
17k = 68
Divide by 17 on both sides of the equation , we get
k = 4
Hence , the value of k = 4
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Solve for z. (10+z)-4= 18 Select the number from the drop down menu to correctly complete the statement. The value of z is 4 6 12 32
Answers
Answer:HEYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY TOMATOE TOMATOE TOMATOE BOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Step-by-step explanation:
I’ll give brainiest Need a answer ASAP
Use the number line below, where RS=6y+3, ST=3y+7, and RT=64.
a. What is the value of y?
b. Find RS and ST.
Answers
The value of y is 2/3, and RS = 9 and ST = 9.
What is the value of y?
To solve this problem, we need to solve two equations. The first equation is RS = 6y + 3, and the second equation is ST = 3y + 7. We can combine the two equations and solve for y. RS = 6y + 3ST = 3y + 7Combining the equations, we get 6y + 3 = 3y + 7. Subtracting 3y from both sides, we get 6y = 4. Dividing both sides by 6, we get y = 2/3. Now that we know the value of y, we can plug it into the first equation to calculate RS. RS = 6(2/3) + 3 = 6 + 3 = 9. We can also plug the value of y into the second equation to calculate ST. ST = 3(2/3) + 7 = 2 + 7 = 9. Therefore, the value of y is 2/3, and RS = 9 and ST = 9.a. y = 7b. RS = 45, ST = 28The answer to part a is that y=7. This can be determined by solving the equation RT=64 for y. 64=6y+3+3y+7, which simplifies to 64=9y+10. Subtracting 10 from both sides yields 54=9y, which further simplifies to y=6.Part b can then be solved using the values of y that were determined in part a. RS=6(7)+3=45 and ST=3(7)+7=28.To learn more about Algebra refer to:
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y=sqrt(x), y=0, x=0, x=2
Cross sections are equilateral triangles and are perpendicular to the x-axis.
Answers
17.
A dartboard is circular, as shown. The
dartboard has a diameter of 30
millimeters. What is the area of the
dartboard in square millimeters?
Answers
Answer:
The area of a circle is given by the formula A = πr^2, where A is the area, r is the radius, and π is approximately equal to 3.14. Since the diameter of the dartboard is 30 millimeters, the radius is half of that, or 15 millimeters. Therefore, the area of the dartboard is A = π(15^2) = 225π square millimeters.
Step-by-step explanation:
Assuming the workers worked a five day week and worked 50 out of the 52 weeks each year, How many stones did they set each day.
Answers
If there were 50 workers, they would set 2,500 stones each day.
What is total number?Total number is a term used to describe the sum of all the values or items within a set. It is usually used to calculate an aggregate or grand total, such as the sum of all the numbers in a list or the total number of people in a population. Total number can also be used to describe the absolute value or quantity of something, such as the total number of days in a year.
Assuming each worker set the same number of stones each day, the total number of stones set each day would be 50 times the number of workers. For example, if there were 20 workers, they would set 1,000 stones each day.
The number of stones set each day could also vary depending on the number of workers and the number of days they worked in a week. For example, if the workers worked a six day week and worked 50 out of the 52 weeks each year, the total number of stones set each day would be 50 times the number of workers multiplied by six. For example, if there were 20 workers, they would set 12,000 stones each day. If there were 50 workers, they would set 30,000 stones each day.
The number of stones set each day can also be affected by the production rate of the workers, the quality of the stones, and the amount of time required to set each stone. If the production rate was low, the number of stones set each day would also be lower. Similarly, if the quality of the stones was poor, the workers would likely take longer to set each stone, thus reducing the number of stones set each day.
Overall, the exact number of stones set each day depends on the number of workers, the number of days they work each week, their production rate, and the quality of the stones.
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Michael recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 10 Bass 2 Drums 8 Keyboard 15 Eighth Grade Students Instrument # of Students Guitar 12 Bass 6 Drums 4 Keyboard 14 Based on these results, express the probability that an eighth grader chosen at random will play the keyboard as a fraction in simplest form.
Answers
The required probability is 7/18 that an eighth grader chosen at random will play the keyboard.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The total number of eighth-grade students in the School of Rock is 12 + 6 + 4 + 14 = 36 students.
The number of eighth-grade students playing the keyboard is 14 students.
So, the probability that an eighth grader chosen at random will play the keyboard is :
⇒ 14/36
In the simplest form, 14/36 can be reduced to 7/18.
Thus, the required probability is 7/18.
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The difference between shape and form is that shapes are 2-dimensional (L x W)
and forms are 3-dimensional (L x W x H).
True
False
Answers
False, Shapes can be both 2 dimensional (L*W) and 3 dimensional (L*W*H) whereas Form gives us the typical significance of the shape
What defines being in shape?Points, line segments, circles, and curves are used to build closed geometric objects. We can see these forms all around us. Examples of geometric shapes include circles, rectangles, triangles, and others. Pizza is a cylinder with triangle pieces.
What are the 8 types of geometry?3.1 Euclidean geometry.
3.2 Differential geometry. 3.2.1 Non-Euclidean geometry.
3.3 Topology.
3.4 Algebraic geometry.
3.5 Complex geometry.
Hence from the given arguments we see
Shapes can be both 2 dimensional (L*W) and 3 dimensional (L*W*H) whereas Form gives us the typical significance of the shape
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The circle shown below has a diameter of 12 centimeters. What is the
approximate area of the shaded sector?
310*
OA. 390 cm²
OB. 102 cm²
C. 97 cm²
OD. 226 cm2
Answers
The approximate area of the shaded sector is 97 cm^2
What is area of circle ?
area of circle can be defined as the product of pi and square of radius ,the value of pi is 22/7 or 3.14 .
Given , diameter = 12
We need to convert diameter to r
d =2r
d/2 =r
12/2=r
6 =r
The radius is 6
A= pi *6^2
A = 36 *(3.14)
A = 113.04 cm^2
Now the fraction of the circle that is shaded is 301degrees out of 360
(A circle is 360 degrees)
=310/360 * area of a circle
=310/360 * 113.04
= 97.34
Hence , The approximate area of the shaded sector is 97 cm^2 .
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Based on the table, h(x)=
I added the photo of tables
Answers
Based on the table, the equation of the function h(x) is h(x) = f(x) - 1
How to determine the function h(x)From the question, we have the following parameters that can be used in our computation:
The functions f(x) and h(x)
When the x values of both functions are compared, we can see that they have the same x values
However, for the y values
The function h(x) is 1 lesser than the function f(x)
This means that
h(x) = f(x) - 1
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what two numbers multiply to make 7 but add to make 1
Answers
There is no number that satisfies this criteria
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: let the two numbers be x and y then
we have x+y=1 and xy=7
Solving these two equations we get x²-x+7=0
∴x=1±√1-28 /2 but this is not a real number
Hence, such a number doesnt exist.
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After adding $70 to her bank account Kelsey has a total of $126. Wrote a number sentence to represent the amount of money Kelsey had in her bank account before she deposited the $70.
Answers
Answer:
Step-by-step explanation:
$126-$70 =
George said if 2 and 4 are factors of a number, then 8 is a factor of the number. Is he correct?Explain...
Answers
Answer:
yes
Step-by-step explanation:
find the value of X
Answers
Answer:
x = 120
Step-by-step explanation:
the sum of the exterior angles of a triangle is 360°
x is an exterior angle of the triangle , then
x + x + x = 360
3x = 360 ( divide both sides by 3 )
x = 120
Question 41 of 50
Corresponding angles form when a transversal intersects with two parallel lines, making the corresponding angles congruent to each other.
False
True
Answers
The given statement "when a transversal crosses two parallel lines, Corresponding angles are created, which are congruent to one another" is TRUE.
What are corresponding angles?The angles created when a transversal intersects two parallel lines are known as corresponding angles.
Typical examples of equivalent angles include opening and closing a lunchbox, resolving a Rubik's cube, and endless parallel railroad tracks.
Angles that are equal in size and are found on the same side as the transversal line are called corresponding angles.
In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.
In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.
Therefore, the given statement "when a transversal crosses two parallel lines, Corresponding angles are created, which are congruent to one another" is TRUE.
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Devyn’s friend Anthony spent 7.45 on trail mix. The trail mix cost $1.75 per pound. How many pounds of trail mix did Anthony buy?
Answers
Answer:
4.2571428571 (but you should probably round for 4.3 or 4.26)
Step-by-step explanation:
if he spent $7.45 and each pound costs $1.75 then just divide 7.45 by 1.75.
Anthony bought exactly 4.2571428571 pounds of trail mix. However, it can be rounded off to 4.3 pounds.
The total amount spent on trail mix= $7.45
1 pound of trail mix costs $1.75
Therefore, the amount of trail mix bought= total amount spent on it / the cost of 1 pound of the product
= 7.45 / 1.75
= 4.2571428571 pounds
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How would I simplify [tex]\frac{2}{1+\sqrt{5} }[/tex] (in simplified radical form) without just turning it into its reciprocal?
Answers
Answer:
[tex]\displaystyle \frac{\sqrt{5}-1}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2}{1+\sqrt{5}}\\\\=\frac{2}{1+\sqrt{5}}*\frac{1-\sqrt{5}}{1-\sqrt{5}}\\ \\=\frac{2(1-\sqrt{5})}{1-5}\\ \\=\frac{2(1-\sqrt{5})}{-4}\\\\=\frac{\sqrt{5}-1}{2}[/tex]
Cool Down: Identifying End Behavior
State the degree and end behavior of the following polynomial function:
f(x) = 3x³ + 2x + 1x² + 1
Explain or show your reasoning.
Answers
The degree of the function is 3, and the end behavior is that as x gets very large or very small the function increases or decreases without bound respectively.
What is the End Behavior?Generally, The degree of a polynomial function is the highest power of the variable in the function. In this case, the highest power of x is 3, so the degree of the function is 3.
The end behavior of a polynomial function refers to how the function behaves as the value of x gets very large or very small (i.e., as x approaches positive or negative infinity).
To find the end behavior, we look at the leading term, which is the term with the highest degree. In this case, the leading term is 3x³. Since the coefficient of x³ is positive, the end behavior of the function as x approaches positive infinity is positive infinity, and as x approaches negative infinity, the end behavior of the function is negative infinity.
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What is 0.222222222222222 as the nearest whole percentage
Answers
The figure shows intersecting lines k and m. What is the measure of angle a?
Answers
The figure shows intersecting lines k and m, the measure of angle a is 94 degrees.
What are parallel lines ?
parallel lines can be defined as the lines which are equi distant from each other and which never meet or intersect each other.
Given,
In the figure the lines k and m are intersecting.
so,
by adding 86 degrees with a it should result into 180 degrees.
86+a = 180
a = 180 - 86
a = 94
Hence, The figure shows intersecting lines k and m, the measure of angle a is 94 degrees.
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PLEASEEEEE HELLPPPP I NEEED!!!
Answers
Answer: ±1.4
Step-by-step explanation:
f(x)=ax^2+c
The graph passes through (2,2) and (-2,2)
Vertex:(0,-2)
f(x)=ax^2-2
4a-2=2
4a=4
a=1
f(x)=x^2-2
if f(x)=0
x^2-2=0
x^2=2
x=±[tex]\sqrt{2}[/tex]=±1.414
x=±1.4
HELP PLEASE I HAVE TEN MINUTES
Answers
Answer:
461.814 is part A
103.67 is part
Find the area of the figure.
Answers
Answer:Answer Choice C
Step-by-step explanation:To solve this problem, we need to find the area of the rectangle by doing 9X5, which is 45. Next we have to find the area of the triangle, and then subtract it by the area of the rectangle to find the area of the figure. To find the area of a triangle, we do BaseXHeight divided by 2, and in this problem, we do 9X2 (which is 18) and 18 divided by 2 which gets us 9. Now we subtract 9 from 45, which gets us 36 which means 36m2 is the answer to this problem.