DUE TODAY, FIRST ANSWER GETS BRAINLIEST, 80 POINTS
The table represents a linear relationship.
x −1 0 1
y −3 1 5
Which equation represents the table?
A. y equals one fourth times x minus 2
B. y equals negative one fourth times x plus 1
C. y = −4x − 2
D. y = 4x + 1
Answers
Answer:
\(d) \ y=4x+1\)
Step-by-step explanation:
I suppose the table looks like this:
\(\begin{array}{|r|r|} x & y \\ \cline{0-1}-1 & -3 \\0 & 1 \\ 1 & 5\end{array}\)
Thus, we can select two points and apply the formula for the equation of a line given two points to derive an equation that represents the table.
\(y-y_1=(\frac{y_2-y_1}{x_2-x_1} )(x-x_1)\)
I select this points:
\((x_1,y_1)= (0,1)\\(x_2,y_2)= (1,5)\)
Now, we substitute this values in the previous equation:
\(y-(1)=(\frac{5-1}{1-0} )(x-0)\\\\y-1=4 x\\y=4x+1\)
Therefore, the correct answer it's option D
Related Questions
Find CD if AE=8, ED=4, and BE=6.
Answers
Answer:
The ratio of the two triangles is 8:12.
So BE:CD=2:3
6/CD=2/3
2CD=18
CD=9
Step-by-step explanation:
The company ALTA Ltd issued a bank accepted bill to fund its working capital requirement. The bill is issued for 60 days, with a face value of $150,000 and a yield of 2.5% per annum to the original discounter. After 25 days, the bank bill is sold by the wwwwww original discounter into the secondary market for $138,222. The purchaser holds the bill to maturity. What is the yield received by the holder of the bill at the date of maturity?
Answers
the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
To calculate the yield received by the holder of the bill at the date of maturity, we need to use the formula for yield to maturity. The formula is:
Yield to Maturity = (Face Value - Purchase Price) / Purchase Price * (365 / Days to Maturity)
In this case:
Face Value = $150,000
Purchase Price = $138,222
Days to Maturity = 60 - 25 = 35
these values in the formula, we can calculate the yield to maturity:
Yield to Maturity = ($150,000 - $138,222) / $138,222 * (365 / 35)
Yield to Maturity ≈ 0.1015 or 10.15%
Therefore, the yield received by the holder of the bill at the date of maturity is approximately 10.15%.
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Help me with this problem
Answers
The area of the triangle JHI is 8.75 square units.
From the given figure,
Area of a ΔJHI = Area of a rectangle - (Area of 3 triangles)
= 5×4 - (1/2 ×3×4 + 1/2 ×2×3 + 1/2 ×1×5)
= 20 - (6+3+2.5)
= 20 - 11.25
= 8.75 square units
Therefore, the area of the triangle JHI is 8.75 square units.
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Which one I'll give stars or points
Answers
Answer:
the answer is B
Step-by-step explanation:
The number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
D(h) = 25e -0. 4
When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
Answers
The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.
We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is
\(D(h)=25 {e}^{ - 0.4 h}\)
We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.
\(6 = 25 {e}^{ - 0.4h} \)
\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)
\(0.24= {e}^{ - 0.4h} \)
Taking logarithm both sides of above equation , we get,
\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)
Using the properties of natural logarithm,
\( \ln(0.24) = - 0.4h\)
\( - 1.427116356 = - 0.4h\)
\(h = \frac{1.42711635}{0.4} = 3.56779089\)
=> h = 3. 6
So, after 3.6 hours, the patient needs to be injected again.
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A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
Three of the sides will require fencing and the fourth wall already exists.
If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?
Answers
Answer:
where is the figure?? thanks
i need help ASAP
(4,−4), (k,−1); m=3/4 i need to know what k is
Answers
Answer:
8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
3/4=(-1-(-4))/(k-4)
3/4=(-1+4)/(k-4)
3/4=3/(k-4)
cross product
4*3=3(k-4)
12=3(k-4)
12/3=k-4
4=k-4
k=4+4
k=8
What is the value of M?
Answers
70 is the answer
Step-by-step explanation:
See attached picture, is there a way to enter equations or algebraic symbols?
Answers
SOLUTIONS
Solve a given equations or algebraic symbols?
\(\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}\)(A)
\(\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}\)(B)
\(\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}\)(C)
\(\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}\)(D)
\(\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}\)Let \ Y_{1}, Y_{2} ,...Y n \ be a random sample from a population with a normal distribution with mean and variance sigma ^ 2 (i.e.,Y sim mathcal N(mu, sigma ^ 2) ). Consider the following two alternative estimators for u:
I
hat mu 1 = (n - 1)/n hat Y
and
hat mu 2 = hat Y + 2/n
Where overline Y = 1 n sum i = 1 to n Y i .
Compare the small-sample properties of these estimators (ie. check whether they are unbiased and efficient).
Answers
The estimator hat mu1 is unbiased and efficient, while hat mu2 is biased and less efficient.
In the first step, let's examine the bias of the estimators. To determine whether an estimator is unbiased, we compare its expected value to the true parameter value. For hat mu1, we have:
E(hat mu1) = E((n - 1)/n * hat Y)
Since the expected value is a linear operator, we can rewrite this as:
E(hat mu1) = (n - 1)/n * E(hat Y)
Now, since each Y_i is drawn from a normal distribution with mean mu, we have E(hat Y) = mu. Substituting this in, we get:
E(hat mu1) = (n - 1)/n * mu
This shows that hat mu1 is an unbiased estimator, as its expected value is equal to the true parameter mu. On the other hand, for hat mu2, we have:
E(hat mu2) = E(hat Y + 2/n)
Again, using linearity of expectation, we can split this into two terms:
E(hat mu2) = E(hat Y) + E(2/n)
Since E(hat Y) = mu, we can simplify further:
E(hat mu2) = mu + 2/n
This indicates that hat mu2 is biased, as its expected value is mu + 2/n, which is different from the true parameter mu.
Moving on to efficiency, we compare the variances of the estimators. The efficiency of an estimator is determined by its variance, with a more efficient estimator having a smaller variance. For hat mu1, the variance is:
Var(hat mu1) = Var((n - 1)/n * hat Y)
Since the observations are independent and identically distributed (iid) from a normal distribution, we can use the properties of variance to simplify this expression:
Var(hat mu1) = \(((n - 1)/n)^2 * Var(hat Y) = ((n - 1)/n)^2 * (sigma^2/n)\)
On the other hand, for hat mu2, the variance is:
Var(hat mu2) = Var(hat Y + 2/n)
Again, using the properties of variance, we get:
Var(hat mu2) = Var(hat Y) + Var(2/n) = Var(hat Y) + 0 = Var(hat Y)
Comparing the two variances, we find that Var(hat mu1) < Var(hat mu2), indicating that hat mu1 is more efficient than hat mu2.
In summary, hat mu1 is an unbiased and efficient estimator, while hat mu2 is biased and less efficient.
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If the p-value of slope is 0.61666666666667 and you are 95% confident the slope is between −10 and 9 a. The p value is less than 0.05 so there is strong evidence of a linear relationship between the variables b. The p value is not less than 0.05 so there is not strong evidence of a linear relationship between the variables
Answers
b. The p-value is not less than 0.05, so there is not strong evidence of a linear relationship between the variables.
In hypothesis testing, the p-value is used to determine the strength of evidence against the null hypothesis. If the p-value is less than the significance level (usually 0.05), it is considered statistically significant, and we reject the null hypothesis in favor of the alternative hypothesis. However, if the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.
In this case, the p-value of 0.61666666666667 is greater than 0.05. Therefore, we do not have strong evidence to reject the null hypothesis, and we cannot conclude that there is a linear relationship between the variables.
The confidence interval given in part b, which states that the slope is between -10 and 9 with 95% confidence, is a separate statistical inference and is not directly related to the p-value. It provides a range of plausible values for the slope based on the sample data.
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Find the interest on the following loan. $6000 at 8% for 6 months Find the future value of the loan. Assume 365 days in a year. $9275 at 7.57% annual simple interest for 13 months
Answers
The future value of the loan is approximately $10,070.29.
To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time
Given:
Principal (P) = $6000
Rate (R) = 8% per year (0.08 as a decimal)
Time (T) = 6 months (0.5 years)
Plugging in the values into the formula:
Interest = $6000 × 0.08 × 0.5 = $240
Therefore, the interest on the loan is $240.
To find the future value of the loan, we can use the formula for simple interest:
Future Value = Principal + Interest
Given:
Principal (P) = $6000
Interest = $240
Plugging in the values into the formula:
Future Value = $6000 + $240 = $6240
Therefore, the future value of the loan is $6240.
For the second scenario:
Given:
Principal (P) = $9275
Rate (R) = 7.57% per year (0.0757 as a decimal)
Time (T) = 13 months (13/12 years)
To find the interest, we can use the same formula:
Interest = Principal × Rate × Time
Plugging in the values into the formula:
Interest = $9275 × 0.0757 × (13/12) = $795.29
Therefore, the interest on the loan is approximately $795.29.
To find the future value of the loan, we can use the same formula as before:
Future Value = Principal + Interest
Plugging in the values into the formula:
Future Value = $9275 + $795.29 = $10,070.29
Therefore, the future value of the loan is approximately $10,070.29.
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Determine whether the graph of the equation is vertical, horizontal, or neither.
Answers
Answer:
Vertical
Step-by-step explanation:
True or false, The triangles shown below must be congruent.
Answers
Factor: r^2 + 3r + 2
Answers
Answer:
(r+1)(r+2)
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(5x+2)^{\circ}∠A=(5x+2)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the value of x.
Answers
Answer:
Step-by-step explanation:
the carrying capacity for a population of elk is 52. there are currently 33 elk in the population. the intrinsic growth rate of elk is 0.2 per year. how many elk will be in the herd one year from now? round to a whole number, up or down (we will accept either)
Answers
There will be 38 elk in the herd one year from now, rounded to a whole number.
To solve the given problem, we must use the formula for exponential growth or decay.
We'll use the following formula:
N = N0ert
Where,N is the final population;
N0 is the initial population;
r is the intrinsic growth rate;
e is the base of the natural logarithm; and
t is the time (in years).
According to the problem, the carrying capacity for a population of elk is 52, and there are currently 33 elk in the population.
The intrinsic growth rate of elk is 0.2 per year. We need to find out how many elk will be in the herd one year from now, rounded to a whole number.
Using the formula above, we can write:
N = 33e0.2 × 1= 37.98 ≈ 38
Therefore, there will be 38 elk in the herd one year from now, rounded to a whole number. Answer: 38.
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Evaluate the following equation for x. 2/5x = −20
Answers
x=-50
Explanation:
Whenever you take the 2/5 and divide it from -20 you are left with x=-50. Therefore, the value for x is -50.
Three consecutive numbers are added together and then their sum is multiplied by three.
Some of the equations below represent the total using algebra. Check (r) all that apply.
Total = 3x + 3x + 1 + 3x + 2
Total = 3x + 3+ + 3 + 3r + 6
Total = 3r + 3(r + 1) + 3(«+2)
Total=r+r+3+y+6
Answers
Equations 1 and 3 correctly represent the total when three consecutive numbers are added together and then multiplied by three, while equations 2 and 4 do not.
To determine which equations represent the total when three consecutive numbers are added together and then multiplied by three, let's analyze each equation:
Total = 3x + 3x + 1 + 3x + 2
This equation correctly represents the total. Adding three consecutive numbers (3x, 3x + 1, 3x + 2) gives the sum of 9x + 3, and then multiplying it by three yields 27x + 9.
Total = 3x + 3+ + 3 + 3r + 6
This equation is not correct. The expression "3+" is ambiguous and does not represent a specific value.
Total = 3r + 3(r + 1) + 3(«+2)
This equation correctly represents the total. Expanding the expressions within parentheses gives 3r + 3r + 3 + 3 + 6 = 6r + 12.
Total = r + r + 3 + y + 6
This equation is not correct. It introduces a variable "y" which is not defined and is unrelated to the three consecutive numbers.
In conclusion, equations 1 and 3 correctly represent the total when three consecutive numbers are added together and then multiplied by three. These equations are:
Total = 3x + 3x + 1 + 3x + 2
Total = 3r + 3(r + 1) + 3(«+2)
Therefore, the equation would be Total = 3x + 3x + 1 + 3x + 2
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Using trig rations to find the missing side or angle of a right triangle
Answers
\(\\ \sf\longmapsto sin44=\dfrac{x}{48}\)
\(\\ \sf\longmapsto 0.69=\dfrac{x}{48}\)
\(\\ \sf\longmapsto x=48(0.69)\)
\(\\ \sf\longmapsto x=33.12\)
sinA=Perpendicular/Hypotenuse__________
\( \: \)
Sin (44°) = x/48
0.69 = x/48
x = 48•0.69
x ≈ 33.12
Please add an explaination. I need it ASAP.
50 points for whoever answers the correct one.
Simplify: (m^2n)(m^3n^4)
Answers
Answer:
m^5n5
Step-by-step explanation:
m^(3+2)n^(1+4)
m^5n^5
Can someone tell me the value of “b”?
I would appreciate the help! Thank you.
Answers
Here is a photo
Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answers
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
find y if x=2 : a. y=7-(x) b. y= x to the power of 2 minus 1. c. y= x+14 cubed
Answers
Answer:
Step-by-step explanation:
A
y = 7 - x
y = 7 - 2
y = 5
B
y = x^2 - 1
y = (2)^2 - 1
y = 2*2 - 1
y = 4 - 1
y = 3
C
y = x + 14
I'm going to assume that you mean (x + 14)^3
y = (x + 14)^3
y = (2 + 14)^3
y = 16^3
y = 4096
If you really do mean what it says, then
y = 2 + 14^3
y = 2744 + 2
y = 2746
Find an equation of the line L. L is perpendicular to y=-2x. points (3,-6)
Answers
Answer:
Step-by-step explanation:
If L is perpendicular to the line y = -2x, then the slope of L is the negative reciprocal of -2. So the slope of L is 1/2.
Now we know that the line L goes through the point (3,-6), so we can use the point-slope form of a linear equation to find the equation of L.
The point-slope form of a linear equation is: y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
Here, (x1, y1) = (3, -6) and the slope of the line is m = 1/2, so the equation is:
y - (-6) = (1/2)(x - 3)
Simplifying this gives us the final equation of the line L:
y = (1/2)x - 3
Please note that this is one of the possible solutions and it depends on the problem or context if this is the correct one.
PLS CAN SOMEONE HELP ME
Answers
Answer:
w = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8 = 4w + 53 + 5w
Step 2: Solve for w
Combine like terms: 8 = 9w + 53Isolate w term: -45 = 9wIsolate w: -5 = wRewrite: w = -5Step 3: Check
Plug in w into the original equation to verify it's a solution.
Substitute in w: 8 = 4(-5) + 53 + 5(-5)Multiply: 8 = -20 + 53 - 25Add: 8 = 33 - 25Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ w = -5 is the solution to the equation.
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Answers
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
please help me i will give brainlyest to anyone who gets it correct!!!
Answers
Answer:
See below
Step-by-step explanation:
3x-429 + x/4 = 130 shows x = 172
QSN = 3x -429 = 87 degrees
HSX = 87 degrees
HSQ = 180 -87 = 93 degrees
XSN = x/4 = 43
PSN = 93 - 43 = 50
R^2-59R-82r^2+60 is equivalent to
Answers
Answer: 83r^2 - 59 + 60
Step-by-step explanation:
R^2 - 59R - 82r^2 + 60
= 83r^2 - 59 + 60
Graph the following
y−2=2/3(x+4)
Answers
