(PLSSSS HELP) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Answers
Answer:
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
Step-by-step explanation:
Given
[tex]x + 3y = 22[/tex]
Solving (a): The possible coordinates
We have:
[tex](x,y) = (-2,8)[/tex]
This gives:
[tex]x + 3y = 22 \to -2 + 3 * 8[/tex]
[tex]x + 3y = 22 \to -2 + 24[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(-2,8) is a point on the grid
[tex](x,y) = (7,5)[/tex]
This gives:
[tex]x + 3y = 22 \to 7 + 3 * 5[/tex]
[tex]x + 3y = 22 \to 7 + 15[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(7,5) is a point on the grid
[tex](x,y) = (-5,5)[/tex]
This gives:
[tex]x + 3y = 22 \to -5 + 3 * 5[/tex]
[tex]x + 3y = 22 \to -5 + 15[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(-5,5) is a not point on the grid
[tex](x,y) = (1,3)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 3[/tex]
[tex]x + 3y = 22 \to 1 + 9[/tex]
[tex]x + 3y = 22 \to 10[/tex]
(1,3) is a not point on the grid
[tex](x,y) = (1,7)[/tex]
This gives:
[tex]x + 3y = 22 \to 1 + 3 * 7[/tex]
[tex]x + 3y = 22 \to 1 + 21[/tex]
[tex]x + 3y = 22 \to 22[/tex]
(1,7) is a point on the grid
So, we plot the following on the grid
[tex](-2,8)[/tex] [tex](7,5)[/tex] [tex](1,7)[/tex]
See attachment
Related Questions
Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?
Answers
Answer:
[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex] [tex]\frac{mx^{67} }{mx^{37} }[/tex]
Step-by-step explanation:
Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.
·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]
Hope this helps. Have a blessed day :)
Tell whether each number is rational or irrational.
0.121121112..
Answers
Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.
0.121121112.. is an irrational number but not rational.
What is Number system?A number system is defined as a system of writing to express numbers.
0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.
We can see that 0.121121112... is not a terminating decimal because it goes on forever.
Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.
Therefore, we can conclude that 0.121121112... is an irrational number.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Julisha poured 0.9 liter of water into an
empty flask. She boiled the water for 15
minutes then measured the amount of water
that remained. She found that 80% of the
water remained in the flask. Measured in
liters, how much water evaporated?
PLS I NEED HELP! ASAP.
Answers
Answer:
0.18
Rounded
0.2
Step-by-step explanation:
please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?
Answers
Answer:
You'd want to divide.
Step-by-step explanation:
Let's say you got a 9/10 on a test.
You'd do 9 divided by 100 and multiply it by 10 to get 90%
That is how you solve a percentage problem
FORMAT IN LESS DETAILED EXPLANATION:
9/100x10=90%
Nine divided by one-hundred times ten equals ninety percent
help me for a brianly
Answers
Answer:
35
Step-by-step explanation:
you multiply like it is a rectangle then you cut your answer in half in this case 7x10=70 cut in half is 35
Which of the a-values satisfy the following inequality?
7 + a < 11
Choose all answers that apply:
A: a=3
B: a=4
C: a=5
Answers
Answer:
A = 3
I hope it's helps you
PLEASEEEEE HELPP
Karen is having a party. She’ll have 2 tables fir every 6 guest
Answers
Answer:
i hate these questions lol her name do be karen sorry um you do multiplicaton for this question i hate aleks expesially thqat question i feel you bro
Step-by-step explanation:
Answer: it’s all in the explanation!
Step-by-step explanation:
So, in the question, it states that she’s gunna have two tables for every six guests. You’re gonna need to find out how much people are going to be at ONE table, so two divided by six! And as you know, that equals three. For the first space, since it’s a odd number, you need to use the three instead of six since there’s gunna be one table by itself. So three times 5. The first space is gunna be 15 :). The second space is somewhat the same process. What times three equals 21? Seven! So for the second space, you’re gunna pit seven. For the third one, you do 8 times three, which equals 24. And for the last space, it’s 10, for three times ten :), hoped this helped!
HELP HELP HELP IM BEGGIN YU
Answers
Answer:
Option C
Step-by-step explanation:
If two triangles are congruent then their corresponding sides and angles are congruent.
[tex]---------------[/tex]
hope it helps you..
have a great day!!
Answer:
option c is correct answer of this question
hope it helps
Help ASAP 6x - 3(2 – 3x)
Answers
Answer:
First: we expand
6x-(6-9x)
Then we simplify
6x-6+9x
Collect like terms
(6x+9x)-6
Simplify:
15x-6
The answer is 15x-6
Find x so the distance between (x,−1) and (4x−2,5) is 10
Answers
Answer:
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
Step-by-step explanation:
(x,−1) and (4x−2,5) is 10
[tex] \sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10 [/tex]
[tex] (3x - 2)^2 + (-6)^2 = 100 [/tex]
[tex] 9x^2 - 12x + 4 + 36 = 100 [/tex]
[tex] 9x^2 - 12x + 40 = 100 [/tex]
[tex] 9x^2 - 12x - 60 = 0 [/tex]
[tex] 3x^2 - 4x - 20 = 0 [/tex]
[tex] 3x^2 - 10x + 6x - 20 = 0 [/tex]
[tex] x(3x - 10) + 2(3x - 10) = 0 [/tex]
[tex] (3x - 10)(x + 2) = 0 [/tex]
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
Helppppp pleaseeeeeeee
Answers
Answer:
74 cm squared
Step-by-step explanation:
because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74
The explanation is:
What is the value of n in the equation
Answers
Answer:
n = 2
Step-by-step explanation:
Solve this like you would for an Algebra problem :)
[tex]3n + 1.4n = 8.8\\4.4n = 8.8\\n = 2[/tex]
Answer:
n = 2
Step-by-step explanation:
3n + 1.4n = 8.8
4.4n = 8.8
n = 8.8 / 4.4
n = 2
GIVE BRAINLIEST!!!!
hope this helped,
-cheesetoasty
Students applying to law school must take the LSAT exam. Since competition for acceptance is stiff, many students take a course that is advertised to boost scores on the LSAT. The agency that teaches the course claims the course is an effective way to raise scores on the LSAT. To test this claim, a group of students are given the LSAT and their scores are recorded. They then attend the course for 5 wecks and retake the exam. Their scores are recorded again. The pre and post test scores are saved here (for Minitab 19) or here (for Minitab 18).
a. Are the samples independent or dependent? Explain.
b. What are the appropriate null and alternative hypotheses for testing the claim that the course is an effective way to raise scores on the LSAT?
c. What Minitab procedure are you going to use to test the hypotheses formulated above?
d. Create the probability plot necessary to validate the procedure chosen above. B C14 C15 non 100 m Ennish finited States)
Answers
Answer:
a) Dependent
b) H0: µd = 0
Ha: µd > 0
c) Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data
Step-by-step explanation:
Using values found in MINITAB 19
a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )
b) Appropriate hypothesis
H0: µd = 0
Ha: µd > 0
c) The Minitab procedure to be used to test the hypothesis is
click on Stat --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output
d) Not enough data to create a probability plot
The length of a rectangular platform is 2 feet longer
than three times its width. The area of the platform is
56 square feet. What are the width and the length
of the platform?
Answers
Answer: Length: 14; Width: 4
Step-by-step explanation:
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence
Answers
Answer:
A sample of 6758 would be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder has the same base area and height. What is the volume of the cylinder?
Answers
Given:
A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=Bh[/tex]
Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.
Answer:
120 pi cubic units
Step-by-step explanation:
Can you help me with this please??
Answers
Answer:
.8
Step-by-step explanation:
.8 is the largest
An education researcher would like to test whether 2nd graders retain or lose knowledge during the summer when they are presumably not in school. She asks nine 2nd graders to take a comprehension exam at the end of the school year (May), and then asks those same students to come back after the summer (late August) to retake a different but equivalent exam, to see if their level of comprehension has changed. Using the data below, test this hypothesis using an alpha level of .05.
May August
90 100
65 80
78 92
50 60
89 90
92 98
75 70
90 96
65 87
a) What is the appropriate test? Is it a one or two tailed test?
b) State the null hypothesis (in words and using means).
c) State the alternative hypothesis (in words and using means).
d) Find the critical value.
e) Calculate the obtained value by hand. What does your decision mean?
Answers
Answer:
See step by step explanation
Step-by-step explanation:
From the problem statement, we understand that we need to investigate if 2nd graders RETAIN OR LOSE knowledge comparing information concerning two different months, therefore we are going to find out if the information gives us enough evidence of a difference in the two groups
a) The test should be a two tail-test
Sample sizes are small ( n₁ = n₂ = 9 ) which means we have to use t-student test
b and c) Test Hypothesis:
For Null Hypothesis H₀, we establish that the two means are equal, which in this case means that the two samples´ means are equal. And as Hypothesis alternative Hₐ that the H₀ is not true, or that the samples mean are different.
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂
d) Significance level α = 0,05 then α/2 = 0,025
then t(c) with α/2 = 0,025 and degree of freedom
df = n₁ + n₂ - 2 df = 9 + 9 -2 df = 16
From t s-tudent table we find t(c) = 2,12
e) Calculating:
x₁ and σ₁
x₂ and σ₂
σₓ = [ ( n₁ - 1 )* σ₁² + ( n₂ - 1 )*σ₂² ]/ n₁ + n₂ - 2
Using a calculator:
x₁ = 77,11 σ₁ = 13,86
x₂ = 85,89 σ₂ = 12,74
σₓ = [ ( 8*(13,86)² + 8*( 12,74 )² ] / 16
σₓ = (8* 192,1) + 8* ( 162,31) / 16
σₓ = (1536,8 + 1298,48 ) / 16
σₓ = 177,205
t(s) = ( x₁ - x₂ ) /√ σₓ²/ n₁ + σₓ²/ n₂
t(s) = ( 77,11 - 85,89 )/ (177,205)²/n₁ + (177,205)²/n₂
t(s) = - 8,78 / √3489,07 + 3489,07
t(s) = -8,78 / 83,54
t(s) = - 0,11
Comparing t(s) and t(c)
|t(s)| < |t(c)|
0,11 < 2,12
t(s) is in the acceptance region. We accept H₀
In the triangle below,
y = [ ? ) cm. Round to the
nearest tenth.
15 cm
х
35
90°
y
Enter
Answers
y ≈ 12.3
Good luck
Help me find the value of x plss
Answers
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
What do we see in triangle -- adj and hyp
cosine since it is SOH CAH TOA
cos(14)/1 =x/480
Answer = 465.74 the real rounding is 466
Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answers
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
Za and Zb are
complementary angles. Za measures 59º.
What is the measure of Zb?
Answers
Za + Zb = 90
You know Za measures 59
59 + Zb = 90
Solution: Zb is 31 degrees
Answer:
Zb = 31
Step-by-step explanation:
Complementary angles mean that the angles add up to 90 so:
Za + Zb = 90
59 + Zb = 90
Zb = 90 - 59
Zb = 31
Write the following as a sum, using powers of 10 to show place value? 0.739
Answers
please help me this is confusing please add an explanation to it
Answers
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.
Challenge:
Put these in order (least to greatest)
Answers
Answer:
1 1/4, -1, -1/4, 0, 1/4, 1
Step-by-step explanation:
Answer:
-1 1/4, -1, -1/4, 0, 1/4, 1,
Step-by-step explanation:
PLEASE HELP PLEASE (dont do links)
Answers
Answer:
B
-2(0)²+24(0)-54
= -54
Answer:
I think its C
Step-by-step explanation:
y intercepts (0,-54)
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.4 min.
P(50.4 < X < 51.4) =
Answers
Answer:
=0.70
Step-by-step explanation:
p(x < 51.4) = (51.4-50.0)/(52.0-50.0)
p(x < 51.4) =1.4/2
=0.70
What is 8 minus a number
8-n
8/n
8n
N/8
Which one
Answers
i need to simplify this −x<−29
Answers
Answer:
x > 29
Step-by-step explanation:
Answer:
[tex]x > 29[/tex]
Step-by-step explanation:
Given: −x<−29
To find: Simplified
Solution: Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
The process entails collecting like terms, which implies adding or subtracting terms in an expression.
Multiply both sides by -1 (reverse the inequality)
[tex](-x) (-1) > (-29) (-1)[/tex]
Simplify
[tex]x > 29[/tex]
The length of the rectangle is six times it’s width. If the perimeter is 84yd find the length and width
Answers
Answer:
W = 6
L = 36
Step-by-step explanation:
2L + 2W = 84
L = 6W
Substitute for L in the first equation
2 (6W) + 2W = 84
12W + 2W = 84
14W = 84
W = 6
Substitute W in the first equation
2L + 2(6) = 84
2L + 12 = 84
2L = 72
L = 36
Plug both values in both equations to be sure
2(36) + 2(6) = 84
36 = 6 * 6
Hope that helps!