3xy^3+5-x-2xy^3=xy^3+11
Answers
Answer: x=-6
Sorry, I am only able to find the x :(
Step-by-step explanation:
Step 1: Add -xy^3 to both sides.
\(xy^3-x+5+-xy^3=xy^3=xy^3+11+-xy^3\)
\(-x+5=11\)
Step 2: Add -5 to both sides.
\(-x+5+-5=11+-5\\-x=6\)
Step 3: Divide both sides by -1.
\(\frac{-x}{-1} =\frac{6}{-1}\)
\(x=-6\)\(3xy^3+5-x-2xy^3 = xy^3 +11\\\\\implies xy^3 +5-x = xy^3 +11\\\\\implies 5-x = 11\\\\\implies x = 5 -11 = -6\)
Related Questions
find the slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0). enter your answer rounded to five correct digits after the decimal point.
Answers
The slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.
Given:
Three points (-2, 4), (0, 3), (2, 0).
x y x^2 xy
-2 4 4 -8
0 3 0 0
2 0 4 0
∑ 0 7 8 -8
\(SS_{xx}\) = ∑\(x^{2}\) - 1/n(∑x)^2
= 8 - 1/3(0)^2
= 8 - 1/3*0
= 8 - 0
= 8
\(SS_{xy}\) = ∑xy - 1/n(∑x)(∑y)
= -8 - 1/3(0)(7)
= -8 - 1/3*0
= -8 - 0
= -8
slope m = \(SS_{xy} /SS_{xx}\)
= -8/8
= -1
Therefore the slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.
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Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72
Answers
Given:
Louisa has a goal of collecting 100 pounds of dog food for a local shelter.
The table of values which represents the number of pounds of food she collects each week.
To find:
The number of more pounds of dog food Louisa need to reach her goal.
Solution:
For first week = 20.5 pounds
For second week = \(18\dfrac{3}{4}=18.75\)
For third week = 32.75
Now,
\(\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)\)
\(\text{Remaining pounds of dog food Louisa needs}=100-72\)
\(\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}\)
Therefore, the correct option is C.
if UVWX is a parallelogram, what is the value of y?
Answers
Answer:
B. 60
Step-by-step explanation:
Side VU must be equal to side WX
15 = (1/4)y
divide both sides by 1/4
15 / (1/4) = y
60 = y
hii i’ll give brainliest please help thanks :)
Answers
Answer: D. 78
Step-by-step explanation:
71 73 74 75 78 85 85 90 97
(order them in numerical value, least to greatest)
take off one number from each side until you have one number left
Answer: 78
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.
Complete the two-column proof by providing the missing statements or reasons.
Answers
Answer:
See belowStep-by-step explanation:
Missing statement/reasons:
1. ABCD is rhombus2. Definition of rhombus- all sides are equal4. SSS (side-side-side) postulate5. Corresponding parts of congruent triangles are congruentA cube has side lengths of 4 in.
What is the volume of the cube?
Enter your answer in the box.
in3
Answers
Answer:
64in3
Step-by-step explanation:
V= 64in3
Answer:
V = 64 in³
I hope this answer be right !
Can somone help me with this will mark u brainliest
Answers
Answer:
\( = 3 + \sqrt{25 } - \sqrt{12} \\ = 3 + 5 - \sqrt{12 \\ } \\ = 8 - \sqrt{12} \)
\( = 8 - 2 \sqrt{3} \)
option d is correct
3 + square root 25 - square root 12
3+5- square root 12
Square root of 12 = 2√3
8 - 2√3
Let ABCD be an isosceles trapezoid (AB//CD). Draw AE, BF perpendicular to CD (E, F belong to CD), Let AB = 8cm, CD = 18cm, AD = 13cm.
a) Prove that triangle ADE = triangle BCF
b) Calculate DE, CF.
c) Calculate AE.
Thanks for solving the homework
Answers
A trapezoid is a plane figure bounded by four sides. Therefore, the required answers are given below;
a) ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) DE = 5 cm and CF = 5 cm
c) AE = 12 cm
Plane figures are shapes that are formed by straight boundaries referred to as sides. Examples include; square, rectangle, trapezium, etc.
A trapezoid is a family of quadrilaterals., these are figures that have four straight sides.
In the given question, the required answers are:
a) To prove that ΔADE = ΔBCF
Thus,
AE ⊥ DC (given)
BC ⊥ DC (given)
<AED = <BFC = \(90^{o}\)
AE = BF (height of the trapozoid)
<ADE ≅ <BCF (congruent property of two triangles)
Therefore, it can be concluded that;
ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) Given that AB = 8 cm, and DC = 18 cm.
Then,
CD = DE + EF + FC
18 = DE + 8 + FC (since EF = AB)
18 - 8 = 2 DE (since DE = FC)
DE = 5 cm
Thus, DE = 5 cm and CF = 5 cm
c) To determine the value of AE, we have to apply the Pythagoras theorem. So that;
\(/Hyp/^{2}\) = \(/Adj 1/^{2}\) + \(/Adj 2/^{2}\)
\(13^{2}\) = \(AE^{2}\) + \(5^{2}\)
169 - 25 = \(AE^{2}\)
\(AE^{2}\) = 144
AE = \(\sqrt{144}\)
= 12
AE = 12 cm
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WILL GIVE BRAINLIEST IF RIGHT!!
If MN = x-5 and NP = 2x-1 and MP = 21, find x
Answers
Answer:
free v
Step-by-step explanation:
rwfgg
Answer:
MP = MN + NP
21 = (x - 5) + (2x - 1)
21 = x - 5 + 2x - 1
21 = 3x -6
3x = 21 + 6
3x = 27
x = 9
an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate, x. The coordinates is (3,6).
Answers
Answer:
The required expression is (x+2).
\(x'=x+2=3+2=5\)
Step-by-step explanation:
The given point is (3,6).
Here,
x-coordinate = 3
y-coordinate = 6
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means
\(x'=x+2\)
where, x' is new x-coordinate and x is initial x-coordinate.
Put x=3 in the above equation.
\(x'=3+2=5\)
Therefore, the new x-coordinate is 5.
Answer:
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
Step-by-step explanation:
Pleez help me im stuck
Answers
Answer: c
Step-by-step explanation:
A is 190 divided by 125
B is 190 multiplied with 125 (product of the two numbers)
D is the sum of 190 and 125 (addition)
the difference will be found by subtracting the smaller number from the bigger number
how to solve trial and error method i) y + 6 = 11
Answers
2.) 11 minus 6 is 5
3). this leaves you with y = 5
Q2.
I am thinking of two numbers.
The first number is x
The second number is 7.5 more than x.
Write down an expression, in terms of x for the second number.
For the two numbers,
the product is double the sum.
Work out the numbers I could be thinking of.
Give both possible pairs of answers.
Answers
Answer:
second number = (x + 7.5)
Since the product of the two numbers is double of their sum,
x(x + 7.5) = 2(x + x + 7.5)
x² + 7.5x = 2(2x + 7.5)
x² + 7.5x = 4x + 15
x² + 7.5x - 4x - 15 = 0
x² + 3.5x - 15 = 0
∴ x = -6 or 2.5
∴ second number
= -6 + 7.5 or 2.5 + 7.5
= 1.5 or 10
∴ The two numbers that I am thinking of are either -6 and 1.5 or 2.5 and 10.
A math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3.50, and each pencil costs $1.25. If the student spent a total of $29, how many pencils did the student purchase?
Answers
Based on the information, the number of pencils that the student purchased will be 12 pencils.
Based on the information given, the equation to solve the question will be:
s + p = 16 ....... i
3.50s + 1.25p = 29 ........ ii
From equation i, s = 16 - p.
3.50s + 1.25p = 29
3.50(16 - p) + 1.25p = 29
56 - 3.50p + 1.25p = 29
2.25p = 27
p = 27/2.25 = 12
In conclusion, 12 pencils were bought.
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Find the midpoint of the line segment with the given endpoints (2,4), (1,-3)
Answers
Answer:
(7,0)
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given points.
Answers
Answer:
y = 1/3x -3
Step-by-step explanation:
r=15 yd what dose it mean
Answers
Answer:
r= 15 yd means that if they give you an equation in that question with r you plug in 15 for r.
what is the answer to 4 =6/a x +5
Answers
Answer:
A=30
Step-by-step explanation:
Sean's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 yards of tape. Sean's group decides to roll up each of their newspapers. Then, they tape each roll with 4 inches of tape. How many inches of tape do they have left?
Answers
To find the total length of tape used, we need to calculate the length of tape used for each roll, and then multiply it by the total number of rolls.
Each roll uses 4 inches of tape, and there are 10 rolls, so the total length of tape used is:
10 rolls x 4 inches per roll = 40 inches
Now, we can calculate how much tape is left by subtracting the length of tape used from the total length of tape they had (2 yards or 72 inches):
2 yards = 72 inches
72 inches - 40 inches = 32 inches
Therefore, Sean's group has 32 inches of tape left.
The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 20th term.
Answers
Answer:
122.
Step-by-step explanation:
nthe term = a1 + d(n - 1) so here:
20th term = -30 + 8(20 - 1)
- 30 + 152
= 122.
easy question - giving brainly if correct - show work.
answer all 3 if possible please!
Answers
(5/7 > 3/5)
2. School B
(5/3 > 3/2)
3. Team A
(9/15 > 7/12)
Exactly how do you find the area? (I already know I need to split the prisms, but how would you do this?)
Answers
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Answer:
You know the with and the length and height of all of them so just do math :)
Step-by-step explanation:
Solve the following system of equations algebraically. Algebraically, find both the x and y
values at the point(s) of intersection and write your answers as coordinates "(x,y) and (x,y)".
If there are no points of intersection, write "no solution".
x +3:
=
10
x
Answers
The solutions to the system of equations in this problem are given as follows:
(-5,-2) and (2,5).
How to solve the system of equations?The equations for the system of equations in this problem are given as follows:
y = x + 3.y = 10/x.For the solution of the system of equations, the two equations have the same numeric value, hence:
x + 3 = 10/x
x² + 3x = 10
x² + 3x - 10 = 0.
(x + 5)(x - 2) = 0.
The values of x are given as follows:
x + 5 = 0 -> x = -5.x - 2 = 0 -> x = 2.The values of y are given as follows:
y = -5 + 3 = -2.y = 2 + 3 = 5.More can be learned about a system of equations at https://brainly.com/question/13729904
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How to add scientific notation with different exponents.
Answers
To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.
First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.
To add these numbers, you need to adjust one of them so that the exponents are the same.
Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.
For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.
Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.
This will give you the final result in scientific notation.
It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.
Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.
In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.
Then, you can add or subtract the coefficients and express the result in scientific notation.
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you can use universal generalization (ug) to obtain a universal statement by generalizing only from a free variable, and not from a constant. true or false
Answers
True, you can use universal generalization (UG) to obtain a universal statement by generalizing only from a free variable, and not from a constant. Generalization involves making a statement that applies to all instances of the variable, while constants remain fixed and do not change in value.
True. Universal generalization (UG) allows us to derive a universal statement by generalizing from a free variable. General sampling deals with the fact that if something is true for everything, it must also be true for every specific thing called the constant c. Existential generalization deals with the fact that the special case c is true for at least one thing if it is true.
A free variable is a variable that is not bound by a quantifier, meaning it is not restricted to a specific value or range of values. In contrast, a constant is a variable that is already assigned a specific value and cannot be generalized over. Therefore, UG can only be applied to free variables and not constants.
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Translate into an algebraic expression:
How much 50% of sugar syrup can you make if you have x grams of sugar?
(Need Urgent Help)
Answers
Answer:
Que is talking about a syrup which contains 50% of sugar .
Que asked : amount of sugar syrup from X grams of sugar.
Explanation :
if a sugar syrup contains 50% of sugar , that means that the half of the solution contains sugar and half is solvent .
means , 2 × amount of sugar = solution (syrup)
now , we are given x grams of sugar
then , solution can be made with x grams of sugar = 2 × (X grams) = 2X gram of solution or sugar syrup.
.
.
Mark BRAINLIEST!
Need help finding the coordinate rule
Answers
Answer:
(x,y) --> (x+5, y)
Step-by-step explanation:
You are moving the image 5 units to the right so you would add 5 to each x coordinate.
A simple random sample of 500 elements generates a sample proportion p= 0.81. Provide the 90% confidence interval for the population proportion (to 4 decimals). b.Provide 95% the confidence interval for the population proportion (to 4 decimals).
Answers
a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
To calculate the confidence intervals for the population proportion, we can use the formula:
Confidence Interval = sample proportion ± margin of error
The margin of error can be calculated using the formula:
Margin of Error = critical value * standard error
where the critical value is determined based on the desired confidence level and the standard error is calculated as:
Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)
Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.
a. 90% Confidence Interval:
To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.
Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0323
Confidence Interval = 0.81 ± 0.0323
≈ (0.7777, 0.8423)
Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b. 95% Confidence Interval:
For a 95% confidence level, the critical value is approximately 1.96.
Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0363
Confidence Interval = 0.81 ± 0.0363
≈ (0.7737, 0.8463)
Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
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- 2x + 5y = -15 How many solutions does the system have? V exactly one The solution to the system is 5x + 2y = -6 How could you solve this system using elimination? Check all that apply. * Multiply the first equation by 2 and the second equation by 5, then add. Multiply the first equation by 5 and the second equation by 2. Then add. Multiply the first equation by 2 and the second equation by 5, then subtract. Multiply the first equation by 5 and the second equation by 2, then subtract.
Answers
Answer:
Multiply the first equation by 5 and the second equation by 2. Then add.
Multiply the first equation by 2 and the second equation by 5, then subtract.
Step-by-step explanation:
Given
\(- 2x + 5y = -15\)
\(5x + 2y = -6\)
Required
Steps to solve using elimination method
From the list of given options, option 2 and 3 are correct
This is shown below
Option 2
Multiply the first equation by 5
\(5(- 2x + 5y = -15)\)
\(-10x + 25y = -75\)
Multiply the second equation by 2.
\(2(5x + 2y = -6)\)
\(10x + 4y = -12\)
Add
\((-10x + 25y = -75) + (10x + 4y = -12)\)
\(-10x + 10x + 25y +4y = -75 - 12\)
\(29y = -87\)
Notice that x has been eliminated
Option 3
Multiply the first equation by 2
\(2(- 2x + 5y = -15)\)
\(-4x + 10y = -30\)
Multiply the second equation by 5
\(5(5x + 2y = -6)\)
\(25x + 10y = -30\)
Subtract.
\((-4x + 10y = -30) - (25x + 10y = -30)\)
\(-4x + 25x + 10y - 10y= -30 +30\)
\(21x = 0\)
Notice that y has been eliminated
Answer:
How many solutions does the system have?
✔ exactly one
The solution to the system is
(
⇒ 0,
⇒ -3).
Step-by-step explanation:
the next two parts
How can I solve this:
Simplify
Answers
Answer:
see the attachment photo!
Answer:
the answer is 7! hope this helps
Step-by-step explanation: