5x + 3y = 6
- 5x - 3y = -6
Elimination method step by step
Answers
Answer:
x = 0 and y = 2
Step-by-step explanation:
5x + 3y = 6
-5x - 3y = -6
Adding the equations gives 0 = 0, so the equations are equivalent.
x = 0 and y = 2
Related Questions
problem 1. a bowl contains 11 red balls and 11 green balls. balls are selected at random without looing at them. a) how many balls must be selected to be sure of having at least three balls of the same color?
Answers
This occurs when we have two balls of each color, and we keep adding balls of the other color. For instance, when we have two red balls and two green balls, the next ball added will create three balls of the same color. This will occur for the next ball regardless of whether it is red or green.
The total number of balls in the bowl is 11 red balls plus 11 green balls = 22 balls. To be sure of having at least three balls of the same color, we consider the worst-case scenario. When we have two balls of each color and add another ball of the other color, we are guaranteed to have at least three balls of the same color.
The number of balls to be selected is 2 (balls of one color) × 3 + 1 (ball of a different color) = 7 balls.
To be certain of having at least three balls of the same color, you must select at least 7 balls from the bowl containing 11 red balls and 11 green balls.
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Given the first two terms in the Taylor series, what is the third term?
f(x)=f(a)+f′(a)(x−a)+…+…
• f′′(a)(x−a)^2
• f′′(a)(x−a)
• f"(a)/2(x−a)
• f"(a)/2(x−a)^2
Answers
The third term of the Taylor series is f''(a)(x-a)². The Taylor series is a mathematical series of infinite sum of terms that is used in expanding functions into an infinite sum of terms.
The Taylor series is very important in many areas of mathematics such as analysis, numerical methods, and more. The third term of the Taylor series can be obtained by using the general formula of the. In this question, we have given the first two terms of the Taylor series and we are required to find the third term. The first two terms of the Taylor series are: f(x)=f(a)+f′(a)(x−a)+…+…The third term can be found by looking at the general formula of the Taylor series and comparing it with the given expression. Therefore, the third term is f''(a)(x-a)².
The third term of the Taylor series is f''(a)(x-a)². The Taylor series is a mathematical tool that is used to represent a function as an infinite sum of terms. This series is used to expand the functions and determine their values at different points. The Taylor series has many applications in various fields of mathematics such as calculus, analysis, numerical methods, and more.The third term of the Taylor series is f''(a)(x-a)². This term is obtained by looking at the general formula of the Taylor series and comparing it with the given expression. The third term is essential in determining the values of the function at different points. By expanding the function using the Taylor series, we can easily determine the values of the function and its derivatives at different points. The Taylor series is a very important tool that is used in many areas of mathematics and science.
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if it is known that [f,1] f(x)dx=-3 and [2,5] f(x)dx=4 find the value of [1,2] f(x)dx
Answers
The value of the definite integral [1, 2] f(x)dx is -7.To find the value of the definite integral [1,2] f(x)dx, we can use the property of linearity of integrals.
According to this property, if we have two definite integrals [a, b] f(x)dx and [b, c] f(x)dx, then the definite integral [a, c] f(x)dx can be expressed as the sum of these two integrals:
[a, c] f(x)dx = [a, b] f(x)dx + [b, c] f(x)dx
In this case, we are given the values of [f, 1] f(x)dx and [2, 5] f(x)dx:
[f, 1] f(x)dx = -3
[2, 5] f(x)dx = 4
We can rewrite the definite integral [1,2] f(x)dx as the sum of two integrals:
[1, 2] f(x)dx = [1, 5] f(x)dx - [2, 5] f(x)dx
Now we can substitute the given values:
[1, 2] f(x)dx = [1, 5] f(x)dx - [2, 5] f(x)dx = -3 - 4 = -7
Therefore, the value of the definite integral [1, 2] f(x)dx is -7.
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answer and solution in 2xy-5yz-4x+10z
Answers
Answer:
2xy+10z-5yz-4x
Step-by-step explanation:
Just put the positives and negatives together. You can't add or subtract any of them because they aren't like terms.
Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she
works. Which expression represents the total amount of money Anna charges?
Answers
Answer:
$25(h) + $130
Step-by-step explanation:
Answer:
\( \sf 130 + 25h = TA \)
\(Solving Steps : - \)
Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?
Given :- To find the expression represents the total amount of money Anna charges?
SolutionShe earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour
Therefore, will add $130 to $25 and add a variable letter 'h'
⇒ $130 + $25(h)
⇒ $130 + $25h = TA
TA being Total amountExpression = \( 130 + 25h = TA \)
~Done~
Have a wonderful and fruitfull day :-)
Please show your working out.
Answers
Answer:
the bus is cheaper by £12.4
Step-by-step explanation:
the total cost to travel by a bus is 3.50 * 4 = £14
the total cost to travel by a car is 3.60 +(1.90*12)
= £26.4
travelling by the bus is cheaper by (26.4 - 14) = £12.6
Translate this into an equation 4 times a number divided by eight is three
Answers
Answer:
Here is the equation 4x6/8=3
Answer:
4 x q ÷ 8 = 3
4 x 6 ÷ 8 = 3
(24) ÷ 8 = 3
need rn. worth 30.
A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.
Which sentences explain how randomization is not applied in this situation?
Answers
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
What is a confidence interval?It is given by the estimate plus/minus the margin of error.
For this problem, we have that:
The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.Then, the bounds of the interval are given by:
0.43 - 0.08 = 0.35.0.43 + 0.08 = 0.51.More can be learned about confidence intervals at https://brainly.com/question/25890103
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classify the pair of angles shown.
Answers
Answer:
complementary angle
Step-by-step explanation:
hope this helps u
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
X = 3/2.
Step-by-step explanation:
Please refer to the attachment given above.
The value of x in the equation 2\(^{(2x)}\) = 2³ is 1.5.
To find the value of x in the equation 2\(^{(2x)}\) = 2³, we can use the property of exponents that states: If two exponential expressions have the same base and are equal, then their exponents must be equal.
In this case, we have 2\(^{(2x)}\) = 2³. Since the bases are the same (both are 2), we can equate the exponents:
2x = 3
Now, to solve for x, divide both sides by 2:
x = 3/2
So, the value of x is 3/2 or 1.5.
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I need help, check out my other questions if they havent been answered..
Answers
Answer:
Margo's model is a better fit because her sum of absolute deviations is lower than Jose's. When comparing regression models using the sum of absolute deviations as the standard, the model with the lower sum of absolute deviations is considered a better fit. In this case, Margo's model has a sum of absolute deviations of 54 which is lower than Jose's model with a sum of absolute deviations of 124. Therefore, Margo's model is a better fit.
Step-by-step explanation:
The sum of four odd integers is 28, 458, 968. What is the second number
Answers
x + (x + 2) + (x + 4) + (x + 6) = 28458968
x + x + 2 + x + 4 + x + 6 = 2
A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 12t + 74, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?
Answers
The constant term of the expression, 74, represents the company's net sales in 2008. This is because the expression t^2 + 12t + 74 represents the company's net sales in billions of dollars, where t is the number of years since the end of 2008. When t = 0, the expression evaluates to 74, which represents the company's net sales in 2008.
In other words, the constant term of the expression represents the initial value of the function. In this case, the initial value is the company's net sales in 2008.
6 - 6x = 7x - 9x - 22
What is the value of x ?
Answers
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
6 - 6x = 7x - 9x - 22
combine like terms
6 - 6x = -2x - 22
+2x +2x
6 -4x = -22
-6 -6
-4x = -28
divide both sides by -4
x = 7
Hope this Helps!!!
sin < t
Urgent please help
Answers
Answer:
sint = \(\frac{33}{65}\)
Step-by-step explanation:
sint = \(\frac{opposite}{hypotenuse}\) = \(\frac{33}{65}\)
Laney bought 1 2/3 pounds of grapes. She also
bought bananas that were
2 1/4 times the weight of
the grapes. How much did the bananas weigh? helppppp
Answers
Answer:
The bananas weigh 3 3/4 pounds.
Answer: 3 3/4
Step-by-step explanation:
All we have to do is multiply the weight of the grapes by 2 1/4.
= 1 2/3 x 2 1/4
= 5/3 x 9/4
= 45/12
= 3 9/12
= 3 3/4
Let R be the region in the first quadrant bounded by the x-axis, the graph of x=y2+2, and the line x=4. What is a the interval for the area of R?
Answers
A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be \($-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)
What is meant by parabola ?A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.
Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.
Sketch the graph of \($x=y^2+2$\) by sketching the sideways parabola \($x=y^2$\) then adding 2 to the x coordinates (translate 2 to the right).
Add the x axis and the vertical line x = 4.
The area can be found by either
\($\int_2^4 \sqrt{x-2} d x$$\) or \($\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$\)
\($=\int_0^{\sqrt{2}}-x^2+2 d x$$\)
Apply the Sum Rule: \($\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$\)
\($=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$\)
simplifying the equation, we get
\($\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$\)
\($\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$\)
\($=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)
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M is the midpoint of Segment AB. AM = 8. What is AB?
Answers
If M is the midpoint, you can deduct that AM = MB. So AM + MB = AB, substitute in 8 and you get 8+8=16
what is the slope of the line ?
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
30. the intelligence quotient (iq) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. what is the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103. * a. 0.3264 b. 0.9428 c. 0.4702 d. 0.7471
Answers
The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.
The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.
Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.
The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.
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essica and her sister, Nicole, need money for lunch. Jessica receives $50 and buys lunches at the high school for $2.50 each and Nicole receives $40 and buy lunches at the elementary school for $1.50 each. How many lunches do they have to buy for the two girls to have the same amount of money in their account?
$50 - $1.50x = $40 - $2.50x
$50 - $1.50x = $40 - $2.50x
$50 - $2.50x = $40 - $1.50x
$50 - $2.50x = $40 - $1.50x
$50 + $1.50x = $40 + $2.50x
$50 + $1.50x = $40 + $2.50x
$50 + $2.50x = $40 + $1.50x
Answers
Answer: $50 - $2.50x = $40 - $1.50x
Step-by-step explanation:
What generalization can you make about these numbers?
2, 5, 11, 19, 29
A. They are all even.
B. They are all evenly divisible by 2.
C. They are all prime.
D. They are all odd.
Answers
some twins are sisters. all twins are siblings. therefore, some siblings are sisters. true or false
Answers
The statement "Some twins are sisters. All twins are siblings. Therefore, some siblings are sisters" is true.
Usually an illustration of a substantial deductive contention in which the conclusion takes coherently from the premises.
The primary introduction states that a few twins are sisters, which suggests that they are female twins. The moment preface states that all twins are kin, which implies that they are related by blood.
In this manner, on the off chance that a few twins are sisters and all twins are kin, it consistently takes after that a few kin are sisters.
It is imperative to note that the conclusion isn't essentially genuine for all kin, as a few kin may be brothers or mixed-gender twins. Be that as it may, the contention is still consistently substantial since the conclusion takes after coherently from the premises
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If George's mom needs 3 kilograms of sliced cheese for a family party, how many
packages will she need to buy?
Answers
Answer:
1 package of cheese = 500 gram
6 packages
Step-by-step explanation:
She begins 197 feet below sea level.
After traveling down for 2 seconds, she's 317 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.
Answers
Step-by-step explanation:
from - 197 to - 317 is a difference of -120 feet in two seconds
-120 ft / 2 sec = -60 ft / sec
what is the standard form for the equation y=-5x+8
Answers
Answer
5x+y=8
Step-by-step explanation:
\(y + 5x = 8\) is a standard form of equation.
What is standard form?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. If the equation is given in this form, finding both points of intersection (x and y) is quite easy. This form is also very useful for solving systems of two linear equations.
By some examples,we can understand the concept more easily.
Example -1,
\(2x + 3y = 2\) is a standard form of equation.
Example -2,
\(5x + 7y = 2\) is a standard form of equation.
Example -3,
\(5x = y - 5\) is not a standard form of equation.
Given equation is \(y = - 5x + 8....(1)\)
We want to find standard form for the given equation.
Now,
\(y = - 5x + 8\)
We are separating variable and constant part.
\(y + 5x = 8\)
According to rule,it is a standard form of equation.
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Suppose you roll a die. What is the probability that you do not roll a 4?
Answers
Answer:
5/6
Step-by-step explanation:
There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6
Have a good day :)
The legend on a map states that
1 cm is 50 km. If you measure 9 cm
on the map, how many kilometers
would the actual distance be?
Actual distance = [? ] km
Answers
Answer:
450 km
Step-by-step explanation:
You simply multiply 9 by 50 to get 450
Answer: 450 km.
Step-by-step explanation: To find the answer to this question, you have to use unit multipliers. We know that 1 cm on the map is 50 km in real life so we multiply 50 km / 1 cm by 9 cm. This cancels out the cm, making km the units. 50*9 = 450, so the answer is 450 km.
which of the rectangular solids shown above has a volume closest to the volume of a right circular cylinder with radius 2 and height 4 ?
Answers
The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.
Which volume of the rectangular solids is similar to volume of a right circular cylinder?Cuboid A:
Volume of rectangular solid = length × width × height
= 3 × 3 × 3
= 27 cubic units
Cuboid B:
Volume of rectangular solid = length × width × height
= 3 × 3 × 4
= 36 cubic inches
Cuboid C:
Volume of rectangular solid = length × width × height
= 5 × 4 × 3
= 60 cubic inches
Cuboid D:
Volume of rectangular solid = length × width × height
= 4 × 4 × 4
= 64 cubic inches
Cuboid E:
Volume of rectangular solid = length × width × height
= 4 × 4 × 3
= 48 cubic inches
Right circular cylinder:
Radius, r = 2
Height, h = 4
Volume of right circular cylinder = πr²h
= 3.14 × 2² × 4
= 3.14 × 4 × 4
= 50.24 cubic units
Hence, rectangular solid E is similar to right circular cylinder.
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what is the coefficient in -x+3?
Answers
Answer: The coefficient is -1
Step-by-step explanation: this is because -1 is in front of the x
Therefore,
-1 is the coefficient
Answer:
Step-by-step explanation:
coefficient of x is -1