10x−y = 10
−2x+ 5y = −2

Answers

Answer 1

Answer:

x=1 & y=0

Step-by-step explanation:


Related Questions

What weight of ugar yrup would you get if you made each of the following. 12% ugar yrup uing 5g of ugar

Answers

The weight of Sugar Syrup is 42 grams

What is Weight?

The amount or quantity of bulk or heaviness; the weight of something. Physics. In an area of constant gravitational acceleration, mass is typically used as a measure of mass since the force of gravity acting on a body is equal to the body's mass times the local acceleration of gravity.

First calculate the mass

Adding * grams of water

= 5/5+x

= 0.12

⇒ 5 = 012x ( x + 5)

⇒ 5 = 012x + 0.6

= 4.4/0.12

= 37grams

Total mass of these two materials will be

= 5 + 37

= 42 grams

weight of Sugar Syrup will be

x = 5 / 0.12

= 42 grams

The weight of Sugar Syrup is 42 grams

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^2–x + c
PLS HELP IN THIS QUESTION
AND ALSO PLS SHOW THE WORK

Answers

Eight-year-olds can count to the highest number

Sara borrows
$
81
$81 from her mother to buy tickets to a concert. If Sara decreases her debt by
$
4.50
$4.50 each week, how many weeks will it take her to pay off the whole amount she owes her mother?

Answers

Answer: simple, 18

Step-by-step explanation: divide 81 by 4.50

SOMEONE PLEASSEEEE HELP
The greatest common factor of 60w 5y 3 and 78wy 2 is _____
6w y^2
6w^5 y^3
13w^5 y^3
2w y^2

Answers

The answer fam is...... 6wy^2

Complete the following statement: In two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent...

Answers

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

How can two-dimensional motion be analyzed?

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Part A: Solve the following equation: 1/2x +2 = 1 / x^2 - 1. Show all work.
Part B: Test the solution(s) found in Part A using substitution. Identify each solution as either valid or extraneous.
Part C: Explain how the solution(s) of the equation 1/2x +2 = 1 / x^2 - 1 can be tested using a graph.

Part A: Solve the following equation: 1/2x +2 = 1 / x^2 - 1. Show all work.Part B: Test the solution(s)

Answers

Answer:

x= 3

Step-by-step explanation: I'll assume the problems is

Cross multiply to get:

x2 - 1 = 2x + 2

x2 - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 and x = -1

Test (x = 3):

1/(2•3+2) = 1/(32 - 1)

1/8 = 1/8 true, so x = 3 is a valid solution

Test (for x = -1):

1/(2•(-1)+2) = 1/((-1)2 - 1)

1/0 = 1/0 not true since division by zero is undefined so x = -1 is not a solution (aka, it is extraneous).

To find solutions via graphing, graph y = 1/(2x + 2) and graph y = (x2 - 1) and find the points of intersection. Doing so confirms that the only solution is x = 3.

Please list the following formulas:



1) Slope Formula



2) Slope-Intercept Form



3) Standard Form

Answers

Answer:

1.) Slope Formula:

y2 - y1
———
x2 - x1

2.) Slope-Intercept Form:

y = mx + b

3.) Standard Form:

Ax + By = C

What does the Harby-Weinberg equation?

Answers

The equation is represented as follows:

p^2 + 2pq + q^2 = 1

The Hardy-Weinberg equation is a mathematical formula used in genetics to predict the frequency of genetic traits in a population. The equation is named after the scientists G. H. Hardy and W. Weinberg, who independently developed it in 1908 and 1909, respectively.

The equation states that the frequency of a genetic trait in a population will remain constant over time as long as certain conditions are met. These conditions are:

No mutations occur in the gene responsible for the trait

There is no natural selection for or against the trait

There is random mating within the population

The population size is large

The Hardy-Weinberg equation can be used to calculate the frequency of the dominant and recessive alleles (versions of a gene) in a population, and the probability of different genotypes (the combination of alleles an individual has) and phenotypes (the physical expression of the trait) within that population.

Where p is the frequency of the dominant allele, q is the frequency of the recessive allele, and p^2 represents the proportion of homozygous dominant individuals, 2pq represents the proportion of heterozygous individuals and q^2 represents the proportion of homozygous recessive individuals.

The Hardy-Weinberg equation is a useful tool for understanding how genetic traits are inherited and how they change over time. It is widely used in population genetics, evolutionary biology and medical genetics.

It is also important to notice that the Hardy-Weinberg equilibrium is a theoretical concept that is rarely met in real populations due to the existence of genetic drift, migration, mutation, nonrandom mating and natural selection.

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what is the volume of the following prisim? i will be so grateful

what is the volume of the following prisim? i will be so grateful

Answers

Answer:

i dont know this is to hard

Step-by-step explanation:

pay back for saying that on my question  

Jacy earns 14$ each second. He earns 14$ each second for 18 years. How much money would he have if he saved up the money?

Answers

they deleted my answer and they wont tell me why- let me try again

answer: jacy would earn a total of $7,952,345,352 if he saved up for a total of 18 years.

explanation:

the total of seconds among 18 years: 568,024,668 seconds.

we now take the 568,024,668 and multiply it by 14.

our final answer is $7,952,345,352.

i dont know if this is a genuine question or not but here-

How do I get and solve for X?

How do I get and solve for X?

Answers

The value of variable x is,

x = 7.77

We have to given that;

A triangle is shown in figure.

Now, We can formulate;

By using trigonometry identity,

tan 48° = x / 7

1.11 = x/7

x = 7 × 1.11

x = 7.77

Thus, The value of variable x is,

x = 7.77

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In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!

Answers

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

How does this work?

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.


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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Write a quadratic equation in standard form that has two solutions, 6 and - 8

Answers

We want an equation which equals
0
at the given points
6
and

10
.
Our quadratic equation should be a product of expressions which are zero at the specified roots.
Consider
(
x

6
)

(
x
+
10
)
=
0
This equality holds if
x
=
6
since
(
6

6
)

(
6
+
10
)
=
0

16
=
0

And the equality holds if
x
=

10
since
(

10

6
)

(

10
+
10
)
=

16

0
=
0
Expanding this equation by the FOIL method, we get:
x
2
+
10
x

6
x

60
Combining like terms, we find our solution:

Can someone help me again:(

Which of the given side length form a right triangle?

Can someone help me again:(Which of the given side length form a right triangle?

Answers

Answer:

A 9 12 and 13

Step-by-step explanation:

Answer:

I don't know, peace out.

Step-by-step explanation:

melissa is beginning an investigation of an older apple computer. she wants to determine when the system volumes were created. what is the best way for her to approach discovering this data?

Answers

To determine the creation date of system volumes on an older Apple computer, and the most effective methods for obtaining this information, such as checking file metadata or using file recovery tools.

How to determine the creation date of system volumes?

The best way for Melissa to approach discovering the creation date of the system volumes on an older Apple computer would be to check the file metadata.

File metadata includes information about when a file was created, modified, or accessed, and can be accessed by;

right-clicking on the file and selecting "Get Info" or by using the Terminal command "ls -l" in the directory where the system volumes are located.

Alternatively, Melissa could use a file recovery tool such as Disk Drill or EaseUS Data Recovery to scan the hard drive for deleted files that may contain information about the creation date of the system volumes.

It is important to note that using file recovery tools can potentially overwrite or corrupt existing data, so caution should be exercised when using these tools.

If Melissa is unable to find the creation date of the system volumes through these methods, she could also try contacting Apple support or consulting online forums for assistance

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HELP PLS :(

At a closed landfill, trash is decaying at a rate of 50% every 15 years.

Which type of function best models the amount of
trash that is remaining after x years?

linear
exponential
quadratic
cubic

Answers

Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

Curtis deposits 550 into a saving account.The account pays 1.75% simple interest will he earn after 3 years? Round your answer to the nearest cent

Answers

28.875

9.625 (the percent per year)
x3 (years)
= 28.875
Round to cent so about $28.87

Solve the system by graphing.

y = −x + 3
y = −3x − 1


The solution of the system

Answers

Answer:

A(-2,5)

x= -2   ,   y=5

Step-by-step explanation:

draw the lines for both equations and that will be by finding any points in the lines:

1. sub any value for x to find y in the equation (y=-x+3) :

When x=0 ⇒ y=-0+3, y=3     (the point is: (0,3)When x=1 ⇒ y= -1 +3 , y=2    (the point is: (1,2)When x=2 ⇒ y=-2+3, y=1      (the point is: (2,1)When x=-1 ⇒ y=-(-1)+3, y=4     (the point is: (-1,4)When x=-2 ⇒ y=-(-2)+3, y=5     (the point is: (-2,5)

plot the points in the graph and match them to get the first line for equation(1).

2. sub any value for x to find y in the equation (y=-3x-1) :

When x=0 ⇒ y=-3(0)-1, y=-1     (the point is: (0,-1)When x=1 ⇒ y=-3(1)-1, y=-4     (the point is: (1,-4)When x=2 ⇒ y=-3(2)-1, y=-7     (the point is: (2,-7)When x=-1 ⇒ y=-3(-1)-1, y=2     (the point is: (-1,2)When x=-2 ⇒ y=-3(-2)-1, y=5     (the point is: (-2,5)

Now again plot the points in the same graph and match them to get the second line for equation(2).

When you finish you will have two lines drawn in a graph, the solution will be were the two points intercept, and that will be:

A(-2,5)

x= -2   ,   y=5

(note: you can check your answer by subbing the value of x in both equations and you should get the answer 5 as the value of y)

Solve the system by graphing.y = x + 3y = 3x 1The solution of the system

a30 arithmetic sequence of 1,-4,-9,-14

Answers

The 30th term a30 of the sequence is -1445

How to determine the value of a30?

The definition of the function is given as

arithmetic sequence of 1,-4,-9,-14

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

so, we have the following representation

First term, a = 1

Common difference, d = 5

An arithmetic sequence is represented as

a(n) = a + (n - 1)d

For the 30th term, we have

a(30) = a + 29d

So, we have

a(30) = 1 + 29 * -5

Evaluate

a(30) = -144

Hence, the value of a30 is -144

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if a cartesian join is used to link table a which contains two rows to table b which contains eight rows, there will be sixteen rows in the results.T/F

Answers

True. A cartesian join, also known as a cross join, returns all possible combinations of rows between two tables. In this scenario, since table a contains two rows and table b contains eight rows, there will be 2 x 8 = 16 possible combinations or rows in the result set.


When a Cartesian join is used to link two tables, it creates a combination of all possible rows between the two tables. In this case, table A has 2 rows and table B has 8 rows. To calculate the number of rows in the result, you simply multiply the number of rows in each table:

2 rows (table A) x 8 rows (table B) = 16 rows

So, when a Cartesian join is used to link table A with 2 rows to table B with 8 rows, there will be 16 rows in the result.

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The statement "if a cartesian join is used to link table a which contains two rows to table b which contains eight rows, there will be sixteen rows in the results" is a true statement.

What is a Cartesian join?

A Cartesian join, also known as a cross join or a cross product, generates a result set that combines every row from the first table with every row from the second table, with no requirements or limits.

If table A has two rows and table B has eight rows, a Cartesian join between the two tables will yield a result set with 16 rows (the product of the number of rows in each table).

So the statement "if a Cartesian join is used to link table A with two rows to table B with eight rows, the results will have sixteen rows" is valid.

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what is the answer to -2 1/3 * 5/4 ​

Answers

Answer:

-26/3

Step-by-step explanation:

-21/3*5/4

-104/12

-26/3

what is the y-intercept for 3x^2 + 2x - 1

Answers

Answer:

y- intercept = - 1

Step-by-step explanation:

To find the y- intercept , let x = 0 in the equation and evaluate for y

y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1

y- intercept = - 1 or (0, - 1) in coordinate form

Answer:

Plug x=0 into the equation and solve the resulting equation

The y-intercept:

3x^2 + 2x - 1

3(0)^2 + 2x(0)- 1

0+0-1

-1

y=−1 is intercept for y  

(0,−1)

Step-by-step explanation:

How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years

Answers

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

If 3 boxes of cereal cost $4.50, what does 1 box of cereal cost?

Answers

Answer:

$1.50

Step-by-step explanation:

3 boxes = $4.50

1 box= $4.50÷3

1box= $1.50

Answer:$1.50

Step-by-step explanation:

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.

Answers

The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

What is Quadratic Equation?

Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.

where a,b,c are constants.

Given ,

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.1

b = -22

c = 11599

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

= -(-22) / 2*0.1

=22/0.2

= 110

Plugging this value into original function would give us the minimum (unit cost):

C(x) = 0.1 x ^2 - 22x +11599

C(x) = 0.1(110*110) - 22(110)+11599

C(x) = 110(11-22) + 11,599

C(x) = -11(110) + 11599

C(x) = -1210 + 11599

C(x) = 10,389

Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

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What does a continuous domain mean, explain it like I'm 5 years old

Answers

Answer:

set of input values that consists of all numbers in an  interval.

Step-by-step explanation:

Answer:

A continuous domain is a set of input values that consists of all numbers in an interval.

Step-by-step explanation:

I don't know how to explain it to a five year old. Sorry

1. What is the length of the missing side of the triangle? The figure is not drawn to scale. (1 point)
1
2
4
8
5
3

1. What is the length of the missing side of the triangle? The figure is not drawn to scale. (1 point)124853

Answers

4, this is solved using the Pythagorean Theorom, a^2+b^2=c^2

Answer:

4

Step-by-step explanation:

a^2+b^2=c^2

a^2+3^2=5^2

a^2=5^2-3^2

a^2=16

root each side

a=4

Evaluate 6ab when a=1/2 and b=7

Answers

Answer:

21

Step-by-step explanation:

when you plug in the numbers, it is (6)(1/2)(7)

You then solve in order: 6 x 1/2 = 3

3 x 7 = 21

hope this helps

What is the spatial relationship between a rectangle and a parallelogram?

Answers

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

Explanation:

A rectangle has the following properties:

Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.

A parallelogram has the following properties:

Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.

The similiarities between a rectangle and a parallelgram:

Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.

A sample of size n-58 is drawn from a normal population whose standard deviation is a 5.5. The sample mean is x = 36.03. Part 1 of 2 (a) Construct a 98% confidence interval for μ. Round the answer to at least two decimal places. A 98% confidence interval for the mean is 1000 ala Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain. The confidence interval constructed in part (a) (Choose one) be valid since the sample size (Choose one) large. would would not DE

Answers

a. To construct a 98% confidence interval for the population mean (μ), we can use the formula:

x ± Z * (σ / √n),

where x is the sample mean, Z is the critical value corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Plugging in the given values, we have:

x = 36.03, σ = 5.5, n = 58, and the critical value Z can be determined using the standard normal distribution table for a 98% confidence level (Z = 2.33).

Calculating the confidence interval using the formula, we find:

36.03 ± 2.33 * (5.5 / √58).

The resulting interval provides a range within which we can be 98% confident that the population mean falls.

b. The validity of the confidence interval constructed in part (a) relies on the assumption that the population is approximately normal. If the population is not approximately normal, the validity of the confidence interval may be compromised.

The validity of the confidence interval is contingent upon meeting certain assumptions, including a normal distribution for the population. If the population deviates significantly from normality, the confidence interval may not accurately capture the true population mean.

Therefore, it is crucial to assess the underlying distribution of the population before relying on the validity of the constructed confidence interval.

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