solve the system of equations by elimination:
3x+y=5
2x-2y=-2
Answers
Answer:
(x, y) = (1, 2)
Step-by-step explanation:
The method of elimination works best when the coefficient of a variable in one equation is equal or opposite the coefficient of the same variable in the other equation.
Here, we notice that all of the coefficients of the second equation are multiples of 2. When we divide that equation by 2, we get ...
x -y = -1
This equation has a y-coefficient that is the opposite of the y-coefficient in the first equation. We can eliminate the y-variable by adding these equations together.
(3x +y) +(x -y) = (5) +(-1)
4x = 4 . . . . . . . simplify. Notice the y-variable has been eliminated.
x = 1 . . . . . . . . divide by 4
Using this value of x in the second equation, it tells us ...
1 -y = -1
Adding y+1 to both sides of this equation gives ...
2 = y
The solution to the system of equations is (x, y) = (1, 2).
__
The graphing calculator confirms this solution.
Related Questions
please help question 20 due on monday
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.
Answers
Answer:
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The scores from Mrs. Rijo’s class are the closest to the class mean.
write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3
Answers
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-8 = -3×3 + b = -9 + b
1 = b
so, the full line equation is
y = -3x + 1
[tex]\sf 4x-15=3[/tex]
Answers
[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
Mark has $360 in his savings account and Trevor has $510 in his savings account. The interest rate is 3%. How
much will each person have in their savings account at the end of 5 years? Show your work.
Answers
Answer:
Mark: 54
Trevor: 765
Step-by-step explanation:
For each, you multiply the amount, time period, and the percentage.
(make sure to turn the percentage to a decimal)
I’m so sorry If my answer is wrong
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error)
Answers
Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
For more on the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
What is the mean absolute deviation (MAD) of the data set?
2, 6, 8, 12, 12
Enter your answer as a decimal in the box.
Answers
Answer:
2+6+8+12+12=40
40 divided by 5=8
6+2+0+4+4=16
16 divided by 5=3.2
MAD=3.2
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
I took the test
The product of 6 and the sum of a number and 3 is 60
Answers
Answer:
8(x+3) is the answer
Step-by-step explanation:
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The product of 6 and the sum of a number and 3 is 60.
Let the number be 'x'. Then the equation is written as,
6(x + 3) = 60
Simplify the equation, then the value of the variable 'x' will be calculated as,
6(x + 3) = 60
x + 3 = 60 / 6
x + 3 = 10
x = 10 - 3
x = 3
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Solve for j.
j − –95 = 822
j =
Answers
Answer:
j = 727
Step-by-step explanation:
j - (-95) = 822j + 95 = 822j = 822 - 95j = 727Select all ratios equivalent to 3:2.
10:1
15:10
18:12
Submit
Answers
Answer:
15:10, 18:12
Step-by-step explanation:
Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.
So, in all other ratios, the first value should be 1.5x greater than the second.
We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller
___________________________________________________________
10:1, Incorrect
This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater
10/3 = 3.333....
1 x 3.33... = 3.3333....
3.3333.... x 1.5 ≠ 10
15:10, Correct
This is correct because the first number is 1.5x greater than the second.
15/3 = 5
5 x 2 = 10
10 x 1.5 = 15
18:12, Correct
This is correct because the first number is 1.5x greater than the second.
18/3 = 6
6 x 2 = 12
12 x 1.5 = 18
-Chetan K
i don't know what this is
Answers
Answer:
Me U Hungry Hungry Me Im Mad Me U Angry Me U Way Mad U Talk Mad Me Angry U:(
Step-by-step explanation:
False
True
Ture
False
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
y=[3/2] x+3.
Pls help me .
Its a graph sum
Answers
Answer:
I'm not sure what the question is. Graph?
Step-by-step explanation:
See graph.
Answer:
352
what r u do
789
why nt coming
why r u nt talking
HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answers
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
Where do I graph them?
Answers
hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life
1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1
Answers
Answer:
1/2 times 4 4/2 2*2/3 4/3
Maribel is taking advantage of the sale at Cassieś Cashew shoppe.she wants to figure out how much she will save on a purches of $34.Maribel´s percent ruler is shown below.Copy the ruler on your paper and help her figure out what 20% of $35 is.
Answers
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the money that Maribel would save on the sale.
Since she would save 20% on purchases, hence money saved on purchase of $35 is:
x = 20% of $35 = 0.2 * 35 = $7
Maribel saves $7 on the purchase of $35.
Find out more on equation at: https://brainly.com/question/2972832
Simplify the expression below. −7×4×(−434)
Answers
-28 x -434
12,152
Jill rode her bike for 2/3 hours for 18mph and she walked 2/5 hours with a speed of 5mph. By how much more distance did she ride on the bike, then walked.
Answers
Answer:
30 mph
Step-by-step explanation:
2+3=5+5=10+2=12+18=30
182 divided by 7 step-by-step
Answers
Answer:
26 is the quotient
Step-by-step explanation:
7 * 26 = 182
im not good at explaining but that's the answer
Prize Pooches charges a flat monthy lee or $22, plus $3.65 per hour. Daring Dogs
charges a flat monthly fee of $25, plus $3.40 per hour. After how many hours of
training, h, will Prize Pooches cost more than Daring Dogs?
A)h < 12
B)h = 12
C)h > 12
D)h> 0.75
Answers
Answer:
C.) H> 12
Step-by-step explanation:
1. At 12 hours Prize pooches has a total of $65.8
at Daring dogs it's rate is also $65.8.
2. Anything greater than 12 hours though, Prize pooches starts to have a higher total.
answer..............................
Answers
Answer:
yes
Step-by-step explanation:
The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
Answers
Answer:
578 cm^2
Step-by-step explanation:
The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and [tex]2\pi \times 4[/tex] (the length of the circumference at the base). Adding them up we get:[tex]\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2[/tex]
PLEASE HELP ME OUT
I WILL GIVE BRAINLIEST
PERFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING
400mg = _____kg
30 cm = _____ mm
Answers
30 cm = 300 mm
30cm=300mm
Which graph has exactly one y-intercept
Answers
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
ANSWER PART B
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Liam suggests adding some other cards to Sia's game
Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
ANSWER PART B
How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.
Answers
Answer:
Answer:Back 2
Step-by-step explanation:Blue + Red=-2
Step-by-step explanation:
Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?
Answers
Ashley is incorrect, they’re traveling at the same rate. hope this helped
uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean
Answers
Answer:
2.5 s. d.
Step-by-step explanation:
Use the formula for calculating z scores:
26 - 16
z = ------------- = 10/4 = 2.5
4
Here the value 26 is 2.5 standard deviations above the mean (16).
Write the equation of the line that passes through the given points (9,4) and (2,13)
Answers
Answer:
y = -9 / 7x + 109 / 7
Step-by-step explanation:
To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:
Slope - the change in y over the change in x
9 / -7 = -9 / 7slope = -9 / 7y-intercept - when x = 0Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:
13 = -9 / 7 x 2 + b13 = -18 / 7 + b91 / 7 + 18 / 7 = b109 / 7 = bAfter finding both the slope and y-intercept, we can now combine them together to form the equation of the line:
y = -9 / 7x + 109 / 7
Hope this helps!!
Both A and R are true, R is the correct explanation for A
Both A and R are true, R is not the correct explanation for A
A is true, R is false
A is false, R is true
Answers
I would say it's "A is false, R is true"
Look at it this way, (R is talking): A is false, this is obviously true.
It wouldn't really work the other way.
I will give BRAINLIEST plz help
Answers
Answer:
-0.37
-2.86
0.91
0.19
1.46
Step-by-step explanation:
