Answers
Answer:
x = (-1)y = 3Step-by-step explanation:
y = -2x + 1
y = x + 4
2x + y = 1 _______(1)
-x + y = 4_______(2)
\( - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ \)
x = (-1),
\(2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ \)
Related Questions
what is the mode for 9,4,4,4,3,2
Answers
Answer:
Mode 4
Step-by-step explanation:
Mean x¯¯¯ 4.3333333333333
Median x˜ 4
Mode 4
Range 7
Minimum 2
Maximum 9
Count n 6
Sum 26
Quartiles Quartiles:
Q1 --> 3
Q2 --> 4
Q3 --> 4
Perform the operation. Write your answer in scientific notation. 7.86×10^9________3×10^4
Answers
Answer:
2.62 * 10^ 5
Explanation:
To perform the operation given we rewrite it as
\(\frac{7.86}{3}\times\frac{10^9}{10^4}^{}\)Now,
\(\frac{7.86}{3}=2.62\)and
\(\frac{10^9}{10^4}^{}=10^{9-4}=10^5\)therefore,
\(\frac{7.86}{3}\times\frac{10^9}{10^4}^{}=2.62\times10^5\)which is our answer!
What is the answer?? 3(b-5)<-2b
Answers
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
3(b-5)<-2b
3b<-2b+5
Add the 2b over.
5b<5
Divide by 5.
b<1
Check by plugging in.
3(1-5)<-2(1)
3(-4)<-2
-12<-2
1 is a possibly solution to the inequality.
Which symbol correctly relates 23 ? 16 check all that apply
Answers
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answers
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
Answers
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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Suppose the linear regression line y = 4.009x - 77.531 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 325 pizzas?
Answers
Answer:
Option C, 1225
Step-by-step explanation:
y=4.009x-77.531
selling 325 pizzas, so x=325, now putting the value of x in the equation,
y=4.009×325-77.531
or, y=1225.394
y = 1225.394, which is the profit, if we approximate it to the nearest value, it's $1225
Please answer this question for me
Answers
The area for the given quadrilateral will be 5400m^2, Perimeter=300m and no. of rabbits that van fit are 270.
what are quadrilaterals?
A quadrilateral is a polygon with four sides, four vertices, and four angles.
It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees. The word quadrilateral is derived from the Latin words ‘Quadra’ which means four and ‘Latus’ means ‘sides’. Not all the four sides of a quadrilateral need to be equal in length. Hence, we can have different types of quadrilaterals based on sides and angles.
Five special quadrilaterals are shown below in the image, along with their definitions and pictures, and points for them to get proven.
Now
as given quadrilateral is rectangular in shape because opposite sides are equal and parallel.
and Length = 90m and breadth=60m
Therefore,
Area=L*B =90*60=5400m^2
Perimeter=2(L+B)=2*150=300m
one rabbit takes 20m^2 of area
No. of rabbits that can fit in 5400m^2 of area=5400/20=270
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Assume that the matrices below are partitioned conformably for block multiplication. Compute the product shown Find the product, recalling that I is the identity matrix
Answers
The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results.The result of the operation is the matrix AB = [9 6; 5 4].
Matrix multiplication is defined as the process of multiplying two matrices together to form a third matrix. The product of two matrices A and B is denoted as AB. To calculate the product, each entry in the resulting matrix is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. In other words, the entry in row i and column j of the product matrix AB is the sum of the products of elements in row i of matrix A and column j of matrix B.In the example given, the product of matrices A and B is AB. The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. For example, the first entry in the product matrix, AB, is calculated as (1*2 + 0*3 + 0*4) + (0*2 + 1*3 + 0*4) + (0*2 + 0*3 + 1*4) = 2 + 3 + 4 = 9. The remaining entries are calculated in the same way. The result of the operation is the matrix AB = [9 6; 5 4].
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which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answers
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
Which is greater? 2.17 or 2.2
Answers
Answer:
2.2 because the 2.2 can be 2.20
The number 2.2 is greater than 2.17.
To determine which number is greater between 2.17 and 2.2, we can compare the digits in each decimal number from left to right. Starting with the first decimal place, we compare the digits "1" and "2". Since 2 is greater than 1, we can conclude that 2.2 is greater than 2.17.
The decimal concept is a way of representing numbers that fall between whole numbers. It is based on the decimal system, which uses a base of 10. In the decimal system, a decimal point is used to separate the whole number part from the fractional part. The digits to the right of the decimal point represent fractions or parts of a whole. Decimals can also be expressed as percentages or fractions. For instance, 0.5 can be written as 50% or 1/2.
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Solve the equation. 18 = m - 18
Answers
Answer:
n = 36
Step-by-step explanation:
18 = n - 18
add 18 to both sides
36 = n
n = 36
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
36
Step-by-step explanation:
18 + 18 = 36
36 - 18 = 18
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Find the intervals where the function is increasing and decreasing for the following functions. Using the first derivative test, state which critical value will give you your relative maximum/minimum. You DO NOT have to solve for relative max/min, just the value of c that would give me the min/max based off of the first derivative test.
Answers
f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.
The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.
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The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:
Answers
Answer: 1.39(1.006)^t
Step-by-step explanation:
The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
What is a Function ?A statement that relates two unknown parameters such that one is dependent on the other is called a function.
It is given that
Initial population = 1.39 billion in 2013
Growth Rate = 0.6%
Let a represent the initial population
b is the growth rate
and 2 be the elapsed year from 2013
and let the population at any given year is P(t)
Then the equation formed is
P(t) = a * bⁿ
P(t) = 1.39 * ( 1.006)ⁿ
Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
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Evan has $580 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $396.95.
• He buys 4 bicycle reflectors for $7.40 each and a pair of bike gloves for $22.94.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $42.10 each.
Answers
Required inequality is 47.25x ≤ 194.02.
What is inequality?An inequality is created when two or more algebraic expressions are compared using the symbols <, >, or ≤. They represent mathematical formulas when neither side is equal.
Given Data
Evan has $580 to spend at a bicycle store for some new gear and biking outfits
He buys a new bicycle for $396.95.
• He buys 4 bicycle reflectors for $7.40 each and a pair of bike gloves for $22.94.
• He plans to spend some or all of the money he has left to buy new biking outfits for $42.10 each.
Money spend on reflectors = 4(17.33)
Money spend on reflectors = $69.32
Total money left = (580 -(285.41 + 69.32 + 31.25))
Total money left = $194.02
If she buy x biking outfits:
47.25x ≤ 194.02
Required inequality is 47.25x ≤ 194.02.
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20 cars are in a race. In how many different ways can cars finish in the top 3 positions?
Answers
We have 20 options of cars to finish in the first 3 positions.
From the context of the problem we know that:
• No car can be in two positions (No repetition)
,• For a car to be first, is different from being in the second or third place (Order is important).
Then, we can conclude that this is a permutation of 20 in 3 without repetition and can be calculated as:
\(\begin{gathered} P(n,r)=\frac{n!}{(n-r)!} \\ P(20,3)=\frac{20!}{(20-3)!}=\frac{20!}{17!}=20\cdot19\cdot18=6840 \end{gathered}\)Answer: 6840 ways.
I need the answer for each blank
Answers
Answer:
Step-by-step explanation:
AC=BD
8x-4=6x+10
2x=14
x=7
AC=8x-4=52
BD=6x+10=52
The circumference of the inner circle is ft. The distance between the inner circle and the outer circle is ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use
for . PLEASE HELPPPP ASAP
Answers
What is half of 30?????
Answers
Half of 30 is 15. You can obtain this by dividing it by 2 or multiplying it by 1/2.
30/2 = 15
Good luck!
selling price of car if rs 50,000 , profit is 10% and cost price of car will be ?
Answers
Answer:
Rs 45,000
Step-by-step explanation:
The profit is the difference between the selling price and the cost price of the car. In this case, the profit is 10% of the selling price, or 10% * Rs 50,000 = Rs 5,000.
Therefore, the cost price of the car is the selling price minus the profit, or Rs 50,000 - Rs 5,000 = Rs 45,000. This is the amount that the seller paid for the car, before adding the profit.
Can someone help with this question?✨
Answers
The measure of the angle is 11. 5°
What are trigonometric identities?
Trigonometric Identities are defined as the identifiers involving trigonometry functions and holding true for all the values of variables given in the equation.
The types of trigonometric identities include;
SineCosineTangentCosecantSecantFrom the diagram shown, we can see that;
The opposite side of the angle is 2
The hypotenuse side of the angle is 10
The trigonometric identity in this case is sine
sin θ = opposite/ hypotenuse
Substitute the values
sin θ = 2/ 10
sin θ = 0. 2
Take the sine inverse of the value
θ = \(sin^-^1(0. 2)\)
θ = 11. 5°
Thus, the measure of the angle is 11. 5°
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all the steps used to solve -3/4x = -24
Answers
Answer:-x=2
Step-by-step explanation: -3/4x=-24 divide -3/4x for each of the numbers, which is equal to -x=2
Help please!!!!!!!!!!!'
Answers
When the number 5.82 is divided by 2, with the long division method, the result would be 2.910.
How to divide with long division?As shown in the attachment, when using long division, start by finding the highest multiple of two that is less than 5. This number of 4, place it below 5 and subtract the figures.
Then put a decimal at the top and bring down the 8 to become 18. Find out the number of times 18 can be divided by 2 which is 9. Then do this for the other two numbers being 2 and 0 and the result would be 2. 910.
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A cylinder has a height of 18 yards The volume of this cylinder is 11077.92 cubic yards what is the radius
Answers
Answer:
13.996 or 14 yd
Step-by-step explanation:
volume of a cylinder = piR^2 * h
solve for R
R = (V/pi*H)^0.5
The probability that record drawn randomly from a standard deck of 52 cards is a four
Answers
Answer:
1/13
Step-by-step explanation:
no.of sample space n(S) = 52
no.of favourable cases n(E) = 4
probability of getting a four p(E) = n(E) / n(s)
or, 4/52
or 2/26
or 1/13
therefore,the probability of getting a four is 1/13.
Find the mean of 7,9,4,3,9,4 graphically
Answers
Answer:
6
Step-by-step explanation:
To find the mean you've got to add 7, 9,4,3,9 and 4 (which gives you 36) and divide that by the number of figures/numbers (which is 6 numbers in total) and it gives you 6
Joey earned $10 of every car he washed. If he earned $190 how many cars did he wash?
Answers
Answer:
19
Step-by-step explanation:
190/10= 19
Answer:
19 19*10=190
Step-by-step explanation:
A factory makes 1200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. enter the fewest number of workdays the factory will need to make 12,600
Answers
Answer: 7
Step-by-step explanation:
9/6 = 1.5
1200 x 1.5 = 1800 (t-shirts a work day)
12 600/1800 = 7
7 work days
ricky's baseball team has a record of 15 wins and 6 losses. write two ratios in simplest form
Answers
Wins to losses
\(\ \ \sf\longmapsto 15/6=5/2=5:2\)
Losses to wins\(\ \ \sf\longmapsto 6/15=2/5=2:5\)
A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?
A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?
0.10
0.14
0.20
0.28
Answers
Answer:
Step-by-step explanation:
It's 14
The missing probabilities for Floral and Coconut are both 0.14.
To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.
Let's calculate the missing probabilities:
The sum of the given probabilities is:
0.31 + 0.18 + 0.23 = 0.72
Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:
1 - 0.72 = 0.28
Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:
0.28 / 2 = 0.14
Therefore, the missing probabilities for Floral and Coconut are both 0.14.
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