Mark Achin's economic order quantity in units is D. 120 units.
What is economic order quantity?The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).
The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.
Data and Calculations:Annual demand = 3,600
Cost price per unit = $200
Ordering cost = $40
Holding cost per unit = $20
Working days per year = 360
Lead time = 5 days
Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.
= square root of (2 x $40 x 3,600)/$20
= 120
Thus, Mark Achin's economic order quantity in units is D. 120 units.
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You plan to borrow $36,500 at a 7.7% annual interest rate. The terms require you to amortize the loan with 7 equal end-of-year payments. How much interest would you be paying in Year 2?
The amount of interest you would be paying in Year 2 is: $2,492.62.
InterestFirst step is to calculate the Equal Monthly Payment
Equal Monthly Payment=P×r×(1+r)^t/(1+r)^t-1
Where:
P=Principal=$36,500
r=Rate=7.7%
t=Time=7 years
Equal Monthly Payment=36,500×0.077×(1+0.077)^7÷(1+0.077)^7-1
Equal Monthly Payment=36,500×0.077×(1.077)^7÷(1.077)^7-1
Equal Monthly Payment=36,500×0.077×1.6807763÷1.6807763-1
Equal Monthly Payment=4,723.82/0.6807763
Equal Monthly Payment=$6,938.875
Second step is to calculate Year 1 Closing balance
Year 1 Closing balance = Beginning balance + Interest - EMI Payment
Year 1 Closing balance= $36,500 +($36,500×7.7%) - $6,938.875
Year 1 Closing balance= $36,500 + $2,810.5 -$6,938.875
Year 1 Closing balance = $32,371.625
Third step is to calculate year 2 interest
Year 2 Interest= $32,371.625×7.7%
Year 2 Interest=$2,492.62
Therefore the amount of interest you would be paying in Year 2 is: $2,492.62.
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Which shows the rational expression written using the least common denominator x 1/4x2 x 1/x2
The rational expression written using the least common denominator [tex]\frac{x+1}{4x^{2} }+\frac{x+1}{x^{2} }\\[/tex] is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].
What is a rational expression?The ratio of two polynomials is displayed in rational expressions. It indicates that the denominator and numerator are polynomials. It is an algebraic expression that has a ratio and an unknown variable, just like a fraction. Although we can simplify this kind of equation with the aid of a calculator.
Because one is divided by the other, just like a ratio, it is a "rational expression."
The polynomial that we divide by cannot be zero, as a reminder.
The least common denominator for [tex]4x^{2}[/tex] and [tex]x^{2}[/tex] is calculated to be [tex]4x^{2}[/tex].
Thus, the required rational expression is [tex]\frac{x+1}{4x^{2} }+\frac{4(x+1)}{4x^{2} }[/tex].
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Part II: Describe the pattern of the following sequence. (2 points)
1 subract 6
2 add 8
3 add 11
4 subract 5
5 add 10
What is the asset turnover?
Answer:
the ratio of total sales or revenue to average assets
Step-by-step explanation:
djjcjdm.x....
Answer:
Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.
Step-by-step explanation:
Please help! Fred mixes a solution using two types of solutions: 0.60 liters containing 10% alcohol and 0.40 liters containing 35% alcohol.
What is the alcohol concentration of the mixed solution?
Answer:
20%
Step-by-step explanation:
Total Litres in mixture=(0.60+0.4)=1 Litre
alcohol in first portion:=0.10(0.60)=0.06 Litres
alcohol in second portion:=0.35(0.40)=0.14 Litres
Total alcohol in mixture = 0.06 +0.14 = 0.20
% of alcohol in mixture:
[tex]\frac{0.2}{1} (100) = 20%[/tex]%
Answer: 20%. Based on the given conditions, formulate:: 35% * 0.4 + 0.6 * 10% / 0.4 + 0.6Calculate the product
ali picks three numbers out of a hat the lowest number was 11 the range was 13 and the median was 17 what was the three numbers
Answer:
11 , 17 , 24
Step-by-step explanation:
• Since the Lowest number is 11 and the range is 13 then
The greatest number is 11 + 13 = 24
• Therefore the three numbers are 11 , 17 and 24
because the median of the set 11 , 17 , 24 is 17
Evaluate 2b2+b+y2 when b=5
Answer:
[tex]y^2 + 55[/tex]
Step-by-step explanation:
Solution
Step 1: Plug in value of b as 5.
[tex]2(5)^2 + (5) + y^2[/tex]Step 2: Simplify
[tex]50 + 5 +y^2[/tex] [tex](50+5) + (y^2)[/tex] [tex]y^2 + 55[/tex]Therefore, the answer is y^2 + 55.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{2b^2 + b + y^2}[/tex]
[tex]\huge\textbf{Conversion:}[/tex]
[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{2(5)^2 + 5 + y^2}[/tex]
[tex]\mathbf{= 2(5\times5) + 5 + y^2}[/tex]
[tex]\mathbf{= 2(25) + 5 + y^2}[/tex]
[tex]\mathbf{= 50 + 5 + y^2}[/tex]
[tex]\mathbf{= 55 + y^2}[/tex]
[tex]\mathbf{= y^2 + 55}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\textsf y\frak{^2 + 55}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and
subtracted from the denominator, the new fraction reduces to one-third. What is the original fraction?
A 12/45
B 15/45
C 12/48
Answer:
C 12/48
Step-by-step explanation:
Original fraction:
x/y
The ratio of the numerator to the denominator is 1:4, so
x/y = 1/4
Cross multiply:
y = 4x
If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third.
(x + 3)/(y - 3) = 1/3
Cross multiply:
3(x + 3) = 1(y - 3)
3x + 9 = y - 3
Above, we have y = 4x, so substitute 4x for y in the equation just above and solve for x.
3x + 9 = 4x - 3
12 = x
x = 12
y = 4(12) = 48
The original fraction is x/y = 12/48
given m∠J = 40° and HJ = 10, what is the length of GH
The required length of GH is 7.7.
Given, HJ = 10
m∠J = 40°
These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Let assume that there is right angle triangle GHJ.
Where HJ is base and GH is perpendicular.
Now,
cos40 = GH/HJ
GH = cos40 HJ
GH = 10 cos40
GH = 7.7
Thus, the required length of GH is 7.7.
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The set of natural numbers x that satisfy x+8=3
Answer:
-5
Step-by-step explanation:
x+8=3
x=3-8
we can easily say +3-8=-5
Which graph corresponds to the table? Giving brainliest to accurate answer.
Answer:
Last graph that slopes upwards from left to right and that has an y-intercept of -1
Step-by-step explanation:
let us pick some points!(you can chose any two)
when x =3 , y = 14 : helps us get points (3,14)
when x =1 , y = 4 : helps us get points (1,4)
so we find the gradient using the two points:
[tex]gradient \ =\frac{14-4}{3-1} =\frac{10}{2} \\[/tex]
we now use gradient 10/2 and point (1,4) to find the equation of the line:
[tex]\frac{10}{2} =\frac{y-4}{x-1} \\2(y-4)=10(x-1)\\2y-8=10x-10\\2y=10x-10+8\\2y=10x-2\\y=5x-1[/tex]
from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.
From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1
to search
O
02/
Active
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What is the value of the expression "three less than the quotient of ten and a number, increased by six" when n = 2?
2
-7/4
8
19/12
The value of the expression given the information about the quotient is 8.
How to calculate the value?From the information given, the equation will be:
= (10/n - 3) + 6
where n = 2
(10/2 - 3) + 6
= (5 - 3) + 6
= 2 + 6
= 8
In conclusion, the correct option is 8.
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Identify the binomial
Answer:
D.
Step-by-step explanation:
D. is the binomial since it has 2 terms.
Solve 7x2(x + 1) = 6x + 14
Ox=-12
Ox = 12
Ox= -16
Ox = 16
[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}[/tex]
Use the distributive property to multiply −2 by x+1.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}[/tex]Combine 7x and −2x to get 5x.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}[/tex]Subtract 6x on both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}[/tex]Combine 5x and −6x to get −x.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}[/tex]Add 2 to both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}[/tex]Add 14 and 2 to get 16.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}[/tex]Multiply both sides by −1.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}[/tex]{ Pisces04 }[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{7x - 2(x + 1) = 6x + 14}[/tex]
[tex]\huge\textbf{DISTRIBUTE 2 WITHIN the}\\\\\huge\textbf{PARENTHESES:}[/tex]
[tex]\mathsf{7x - 2(x) + 2(1) = 6x + 14}[/tex]
[tex]\mathsf{7x - 2x - 2 = 6x + 14}[/tex]
[tex]\huge\textbf{COMBINE the LIKE TERMS (if you}\\\\\huge\textbf{have any):}[/tex]
[tex]\mathsf{(7x - 2x) - 2 = 6x + 14}[/tex]
[tex]\mathsf{5x - 2 = 6x + 14}[/tex]
[tex]\huge\textbf{ADD 2 to BOTH SIDES:}[/tex]
[tex]\mathsf{5x - 2 + 2 = 6x + 14 + 2}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{5x = 6x + 16}[/tex]
[tex]\huge\textbf{SUBTRACT 6x to BOTH SIDES}[/tex]
[tex]\mathsf{5x - 6x = 6x + 16 - 6x}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{-x = 16}[/tex]
[tex]\mathsf{-1x = 16}[/tex]
[tex]\huge\textbf{DIVIDE -1 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-1x}{-1} = \dfrac{16}{-1}}[/tex]
[tex]\huge\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{16}{-1}}[/tex]
[tex]\mathsf{x = -16}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
15) Complete.
Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Monthly Payment:
O a.) $22.15
Ob.) $20.45
Oc.) $21.25
Od.) $22.25
Answer:
d is correct answer
The table shows the names of four company owners. One of them funded a
study showing that company A has the longest-lasting products. Funding by
which owner would make you skeptical of the results?
Company
Company A
Company B
Company C
Company D
A. Elsa Juarez
B. Xander McCoy
C. Joel Mabaso
D. Francesca Xi
Owner of company
Francesca Xi
Xander McCoy
Elsa Juarez
Joel Mabaso
The owner funding that would make you skeptical of the results is: D. Francesca Xi.
The owner funding that would make you skeptical of the resultsCompany A funded the study which will attract potential customer to the company product as the company product will be more attractive to customers after the study.
Hence, since company A which is Francesca Xi has the longest-lasting products, he will be the business owner funding that would make you skeptical of the results .
Therefore the correct option is D.
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A baker buys 10 apples from a farmer for $.25/each. the baker uses the 10 apples to make an apple pie that they sell in their bakery for $7.99. what is the total contribution to gdp?
The total contribution to the GDP is $5.49.
How to find the total contribution to GDP?GDP, the gross domestic product is the sum of all final goods and services produced in an economy within a given period.
When calculating GDP, only the value added of final goods and services are included. Intermediate goods are not added.
Therefore,
Total contribution to GDP = 7.99 - (10 X 0.25) = $5.49.
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The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate, the interest being calculated yearly? D 1800 cimple interest in 10 years. Find the The simple interest on a certain sum of money for 2 years at 5 % per annum is Rs 320. What will be the compound interest on the same sum for the same time at the same rate , the interest being calculated yearly ? D 1800 cimple interest in 10 years . Find the
Answer:
Rs 328
Step-by-step explanation:
Find the principal amount invested.
Simple Interest Formula
I = Prt
where:
I = interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = Rs 320r = 5% = 0.05t = 2 yearsSubstitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
Compound Interest Formula
[tex]\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}[/tex]
where:
I = interest earnedP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = 3200r = 5% = 0.05n = 1 (annually)t = 2 yearsSubstitute the given values into the formula and solve for I:
[tex]\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200[/tex]
[tex]\implies \sf I=3200\left(1.05\right)^{2} -3200[/tex]
[tex]\implies \sf I=3200\left(1.1025\right) -3200[/tex]
[tex]\implies \sf I=3528-3200[/tex]
[tex]\implies \sf I=328[/tex]
Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.
What is 1/4+1/6=
Please help me I’ll make the first person Brainiest
Answer:
[tex]\dfrac{5}{12}[/tex]
Explanation:
[tex]\dfrac{1}{4} + \dfrac{1}{6}[/tex]
The least common multiple of 4 and 6 is 12
So, make the denominator's same
[tex]\dfrac{3(1)}{12} + \dfrac{2(1)}{12}[/tex]
multiply numbers
[tex]\dfrac{3}{12} + \dfrac{2}{12}[/tex]
Join both fractions
[tex]\dfrac{3+ 2}{12}[/tex]
simplify following
[tex]\dfrac{5}{12}[/tex]
A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make?
The z-statistic is 0.22, so the null hypothesis should not be rejected.
The z-statistic is 1.69, so the null hypothesis should not be rejected.
The z-statistic is 3.32, so the null hypothesis should be rejected.
The z-statistic is 3.67, so the null hypothesis should be rejected.Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
One can reject the null hypothesis.
One can reject the alternate hypothesis.
One can accept the null hypothesis.
One cannot accept or reject the null hypothesis.
The correct option is C which is The z-statistic is 3.32, so the null hypothesis should be rejected. One can reject the null hypothesis.
What is the null hypothesis?When there are two possibilities then we calculate the null hypothesis if the hypothesis is true hypothesis is accepted if it is
To conduct a hypothesis test for the above situation. We define the null hypothesis and the alternative hypothesis.
The null hypothesis is the claim that the average commute time to downtown is 20 minutes while the alternative hypothesis is a contradiction of the null hypothesis which is that the average commute time to downtown is not 20 minutes.
i.e. H0: μ = 20 and H1: μ ≠ 20.
The z-statistics is given by (sample mean - hypothesized mean) divided by (standard deviation divided by the square root of the sample size).
i.e.
[tex]z= \dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
x = 26, [tex]\mu[/tex] = 20, [tex]\sigma[/tex] = 7 and n = 15 putting the values in the question we will get the z-score value.
[tex]z = \dfrac{26-20}{\dfrac{7}{\sqrt15}}[/tex]
z = 6 / 1.807
z = 3.32
Therefore, the z-statistic is 3.32, so the null hypothesis should be rejected. Because the calculated value of z (3.32) is greater than the table value of z (1.96).
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Sasha made a model of a clipper ship. If her model has a length of 18 inches, and the original ship has a length of 160 feet and a width of 32 feet, what should be the width of her model?
The width of the model is 3.6 inches.
What are Similar Figures?The figures with the same shape are said similar when the sides of both the figures are in proportion.
Sara has a model of length = 18inches.
The original ship has a length is 160 ft
The width of the original ship is 32 ft
The model is a scaled-down version of the original figure and so the length and width of the model will be in the same proportion as the original dimensions.
Let x represents the width of the model then,
160/18 = 32/x
x = 32 * 18 / 160
x= 3.6 inches.
Therefore, the width of the model is 3.6 inches.
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What is the volatile acid/alkalinity relationship in a digester if the alkalinity is 2400 mg/L and the volatile acids are 90 mg/L?
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of volatile acid to alkalinity = 90 mg/L ÷ 2400 mg/L = 3/80
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
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i need help with this could you please help me
Answer:
it is A
Step-by-step explanation:
Find the value of x. Round to the nearest tenth. X 12 32° Not drawn to scale Find the value of x . Round to the nearest tenth . X 12 32 ° Not drawn to scale
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!!Describe how the graph of each function can be obtained from the graph of y = f(x). Make sure you use full sentences to explain the transformation of the new function.
a) y=3f(x)–2
(b) y=f(x-1)–4
(c) y=f(1⁄2x)+5
Using translation concepts, the changes are described as follows:
a) The function is vertically stretched by a factor of 3, and shifted down 2 units.
b) The function is shifted 1 unit right and 4 units down.
c) The function is horizontally compressed by a factor of 2 and shifted up 5 units.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The changes are as follows:
y -> 3y, hence the function is vertically stretched by a factor of 3.y -> y - 2, hence the function is shifted down 2 units.Item b:
The changes are as follows:
x -> x - 1, hence the function is shifted right 1 unit.y -> y - 4, hence the function is shifted down 4 units.Item c:
The changes are as follows:
x -> 0.5x, hence the function is horizontally compressed by a factor of 2.y -> y + 5, hence the function is shifted up 4 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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Problem
(a) Expand and simplify [tex](x^2+2)^2[/tex].
(b) Hence fully factorise [tex]x^4 +4x+3[/tex].
a. [tex]x^4 + 4x^2 + 4[/tex]
b. x = ∛-1 and -3
How to expand the expressiona. Given
(x² + 2)²
First, we open up the bracket
[tex](x^2 + 2) (x^2 + 2)[/tex]
Multiply through
[tex]x^4 + 2x^2 + 2x^2 + 4[/tex]
Collect like terms
[tex]x^4 + 4x^2 + 4[/tex]
b. Let's factorize
[tex]x^4 + 4x + 3[/tex]
Find the factors of 3 that are products of 4, they are 3 and 1
Use it to replace 4x as 3x and x
[tex]x^4 + 3x + x + 3[/tex]
Let's make the expression two
[tex](x^4 + 3x) (x+ 3)[/tex]
Find the common factor
[tex]x^3(x + 3)+ 1(x+ 3)[/tex]
So,
[tex]x^3 + 1 = 0[/tex] and [tex]x + 3 = 0[/tex]
[tex]x = 3\sqrt{-1}[/tex] and x = -3
Thus, x = ∛-1 and -3
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What are all values of x that satisfy 4x-1 < 6x+9
The values of x that makes the inequality true are all values less than -5
Inequality expressionsGiven the inequalities below expressed as;
4x-1 < 6x+9
Collect the like terms
4x-6x < 9+1
-2x < 10
x <-10/2
x < -5Hence the values of x that makes the inequality true are all values less than -5
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Solve quadratic equation 10x^2+x-2=0
Answer:
[tex]\{-\frac{1}{2} \} \cup \{\frac{2}{5}\}[/tex]
Step-by-step explanation:
[tex]10x^2 + x - 2 = 0; \\ a = 10, b = 1, c = -2; \\ D = b^2 - 4ac = 1^2 - 4 * 10 * (-2) = 1 + 80 = 81 = 9^2, > 0; \\ x_{1, 2} = \frac{-b \pm \sqrt{D}}{2a} = \frac{-1 \pm \sqrt{9^2}}{2 * 10} = \frac{-1 \pm 9}{20} = \left \ [ {{\frac{-1 - 9}{20} = -\frac{10}{20} = -\frac{1}{2} } \atop {\frac{-1 + 9}{20} = \frac{8}{20} = \frac{2}{5}}} \right.[/tex]
Solve for x.
2x² = x+6
If there is more than one solution, separate them with commas. If there is no solution, click on “No Solution.”
Answer:
no solution
Step-by-step explanation:
2x²+ x + 6 = 0
Use quadratic formula
x = (-b±√(b²-4ac))/2a
x = (-1±√(1²-4(2)(6)))/2(2)
x = (-1±√(-47))/2(2)
The value of y varies inversely with x. What is the value of k when y=12.7 and x=8
Answer: 101.6
Step-by-step explanation:
y∝(1/x)
this implies that
y=k/x eq(*)
when y=12.7 and x=8
12.7=k/8
(12.7)(8)=k
101.6 =k