Answers
Answer:
The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2) ⇒ D
Step-by-step explanation:
To solve this type of question, Form the equation of the line and substitute the x-coordinate of each ordered pair to find y, if the value of y equal to the value of the y-coordinate of the point, then the point is on the line
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]From the given figure
∵ The line passes through points (-4, 0) and (0, 4)
∴ x1 = -4 and y1 = 0
∴ x2 = 0 and y2 = 4
→ Substitute them in the rule above
∵ m = [tex]\frac{4-0}{0--4}[/tex] = [tex]\frac{4}{0+4}[/tex] = [tex]\frac{4}{4}[/tex]
∴ m = 1
∵ b is the value of y at x = 0
∵ y = 4 at x = 0
∴ b = 4
→ Substitute the values of m and b in the form of the equation above
∴ y = 1(x) + 4
∴ y = x + 4 ⇒ equation of the given line
Let us check every group
∵ The ordered pairs are (7, 3), (6, 2), (2, -2)
∵ y = x + 4
∵ x = 7
∵ y = 7 + 4 = 11
∵ y-coordinate = 3
∴ Point (7, 3) doesn't lie on the line
∵ The ordered pairs are (5, 1), (3, 7), (2, 6)
∵ x = 5
∴ y = 5 + 4 = 9
∵ y-coordinate = 1
∴ Point (5, 1) doesn't lie on the line
∵ The ordered pairs are (3, 7), (2, 6), (2, 2)
∵ x = 3
∴ y = 3 + 4 = 7
∵ y-coordinate = 7
∴ Point (3, 7) lies on the line
∵ x = 2
∴ y = 2 + 4 = 6
∵ y-coordinate = 6
∴ Point (2, 6) lies on the line
∵ x = 2
∴ y = 6
∵ y-coordinate = 2
∴ Point (2, 2) doesn't lie on the line
∵ The ordered pairs are (3, 7), (2, 6), (-2, 2)
∵ x = 3
∴ y = 3 + 4 = 7
∵ y-coordinate = 7
∴ Point (3, 7) lies on the line
∵ x = 2
∴ y = 2 + 4 = 6
∵ y-coordinate = 6
∴ Point (2, 6) lies on the line
∵ x = -2
∴ y = -2 + 4 = 2
∵ y-coordinate = 2
∴ Point (-2, 2) lies on the line
∵ The three ordered pairs lie on the line
∴ The group of all ordered pairs lie on the line is (3, 7), (2, 6), (-2, 2)
∵ The ordered pairs are (1, 5), (-6, 2), (-7, -3)
∵ x = 1
∴ y = 1 + 4 = 5
∵ y-coordinate = 5
∴ Point (1, 5) lies on the line
∵ x = -6
∴ y = -6 + 4 = -2
∵ y-coordinate = 2
∴ Point (-6, 2) doesn't lie on the line
Related Questions
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.
Answers
This question is incomplete, the complete question is;
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.
starting position: 1 2 3 4 5 6
Number of wins : 44 33 50 32 45 36
options
a) 15.541
b) 9.326
c) 6.750
d) 12.592
Answer:
the chi-square test statistic is 6.75
Option c) 6.750 is the correct answer
Step-by-step explanation:
Given that;
starting position: 1 2 3 4 5 6
Number of wins : 44 33 50 32 45 36
Given that we have 240 races
Using x² test.
we have to calculate the expected frequency
so
E(1) = 240 × 1/6 = 40
E(2) = 240 × 1/6 = 40
E(3) = 240 × 1/6 = 40
E(4) = 240 × 1/6 = 40
E(5) = 240 × 1/6 = 40
E(6) = 240 × 1/6 = 40
Now we know that,
x²_cal = [∑( Oi - Fi)²] / Fi
so
x²_cal = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40
= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4
= 6.75
Therefore the chi-square test statistic is 6.75
Option c) 6.750 is the correct answer
fill in the blank pls i need help
Answers
5-15
10-30
15-45
Answer:
x=5
y=30
y=15
Step-by-step explanation:
John believes that height is related to leadership and specifically hypothesizes that the taller one is, the more other people look to that person as a leader. To test this hypothesis, he randomly selects a sample of 50 people, and measures their height and perceived leadership potential (both quantitative measures). This is a ______ hypothesis and will result in a(n) _______ -tailed test
Answers
Answer:
This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.
Step-by-step explanation:
The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis. This is why the null and alternative hypotheses must be established before the statistic test is carried out. If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.
1. A force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The
screwdriver applies 90N of force to the lid. What is the MA of the screwdriver?
Answers
Answer:
I would have to guess that the MA of the screwdriver is 120N.
Step-by-step explanation:
I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.
#teamtrees #WAP (Water And Plant)
#teamtrees #WAP (Water And Plant)
I need help please but if you can give me the step by step it would be helpful thank you
Answers
Answer: (x^2 -6x +10)(x - 2)
All the steps are shown in the picture below:
Use 50% as the percentage amount taken off of 199.99. Please help me
Answers
Answer:
199.49
Step-by-step explanation:
Answer:
199.49
Step-by-step explanation:
Hope this helped have an amazing day!
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Answers
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12
=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)
=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9
By splitting the quadratic equation into factors we get,
[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)
and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
Learn more about solving rational expressions
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Solve the proportion.
47/39 = b/2
A: 94/39
B: 78/47
C: 47/78
D: 39/94
Answers
Answer:
94/39 is the correct answer
Answer:
The answer above is correct! A. 94/39
Step-by-step explanation:
E2020!
Stephen imports cars from the USA. He sells them in the UK. He has just bought a car in the USA costing $24 000. It cost him £900 to import the car to the UK. The exchange rate is £1 = $1.45. Stephen needs to make a profit of 20% on his total costs.
Work out the least amount that Stephen must sell the car for in the UK. Give your answer in pounds.
Answers
Answer:
£20942.04
Step-by-step explanation:
The total cost of the car includes its purchasing price and the cost of importing it into the UK.
Cost of the car in pounds = 24000/1.45 = £16,551.7
Total cost of the car = £16,551.7 + £900 = £17,451.7
If the profit made is 20%
Then;
Profit % = selling price - cost price/cost price * 100/1
Let selling price = SP
Cost price = CP
20 = SP - CP/CP * 100/1
20 = SP - 17,451.7/17,451.7 * 100/1
17,451.7 (20) = 100(SP - 17,451.7)
349034 = 100SP - 1745170
349034 + 1745170 = 100SP
2094204 = 100SP
SP = £20942.04
In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How many
degrees is ZT?
Answers
Does anyone know this?
Answers
Answer:
its first one
Step-by-step explanation:
37.5/15=2.5
42.5/17=2.5
52.5/21=2.5
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?
Heptagon
Octagon
Quadrilateral
Triangle
Answers
Step-by-step explanation:
c
Answer:
c
Step-by-step explanation:
Write the given expression as a single trigonometric function.
StartStartFraction tangent (StartFraction 3 pi Over 7 EndFraction) minus tangent (StartFraction 2 pi Over 5 EndFraction) OverOver 1 + tangent StartFraction 3 pi Over 7 EndFraction) tangent (StartFraction 2 pi Over 5 EndFraction) EndEndFraction
Answers
Answer:
tan (pi/35)
Step-by-step explanation:
edge 2020
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The trigonometric function is given below.
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
We know that the formula,
tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]
Then the expression is written as,
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
⇒ tan [(3π/7) + (2π/5)]
⇒ tan (29π / 35)
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
More about the trigonometry link is given below.
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-4x + 10y
X=5
Y=7
Find the value of the algebraic expression
Answers
Answer:
50
Step-by-step explanation:
-20+70=50
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answers
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answers
Answer:
$3360 combined. $1560 from acct b and $2100 from acct a
V = 2s^3
If s = 3.5 units, what is the value of V? The photo shows the answers available.
Answers
Answer:
21.0 Cubic Units
Step-by-step explanation:
2 times 3.5 = 7
7 times 3 = 21
Help help help help help
Answers
Answer:
Option 1 and the bottom right answer.
Step-by-step explanation:
Will give brainliest help
Answers
Answer:
i cant download the photo
Step-by-step explanation:
Answer:
5/6
7/12
1 5/12
Step-by-step explanation:
I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D
what was josquin des prez 3 favorite pieces?
Answers
Answer:
While in Ferrara, Josquin wrote some of his most famous compositions, including the austere, Savonarola-influenced Miserere, which became one of the most widely distributed motets of the 16th century; the utterly contrasting, virtuoso motet Virgo salutiferi; and possibly the Missa Hercules Dux Ferrariae, which is ...
Step-by-step explanation:
Find the value of the following expression:
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps.
Answers
Answer:
9Step-by-step explanation:
(2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =2⁰ · 3² =1 · 9 =9You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion
Answers
Answer:
One's age is not independent of one's willingness to wear masks in public.
Step-by-step explanation:
The hypothesis for the study can be defined as follows:
H₀: One's age is independent of one's willingness to wear masks in public.
Hₐ: One's age is not independent of one's willingness to wear masks in public.
It is provided that the test statistic value is, t = 16.5.
And the critical value of the test is, c = 7.82.
t = 16.5 > c = 7.82
Since the test statistic value is more than the critical value, the null hypothesis will be rejected.
Thus, concluding that one's age is not independent of one's willingness to wear masks in public.
Which equation is equivalent to : 2(-3x-6) = -5
Answers
Answer:
-6x-12=-5
Step-by-step explanation:
Just distribute
Which expression is equivalent to StartFraction 1 Over sine (2 x) EndFraction minus StartFraction cosine (2 x) Over sine (2 x) EndFraction?
tan(x)
–tan(x)
StartFraction 1 Over cosine (x) EndFraction
Negative StartFraction 1 Over cosine (x) EndFraction
Answers
Answer:
Tan(x)
Step-by-step explanation:
JUST TOOK THE TEST
tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.
To determine equivalent 1/sin2x - cos2x/sin2x.
tan(x) is tangent of x here, tan is trigonometric operator.
Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
Learn more about tan(x) here:
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Hmmm , can someone help with this one?
Answers
Answer:
answer choice c
Step-by-step explanation:
help me on this question please
Answers
Answer:
7 6/18
Step-by-step explanation:
Answer:
3.71851851852
Step-by-step explanation:
30 16565x
What is the solution to this equation
Answers
Find the number between 100 and 999 such that
the sum of the three digits is 12.
the hundreds digit equals the sum of the tens digit and the ones digit.
the hundred digit equals one greater than the tens digit.
Answers
1+5+6=12
1+5=6
6 is 1 greater than 5
answer the question in the photo , its the easy one please help me ;((
Answers
9514 1404 393
Explanation:
The problem statement tells you what to do.
25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n
(5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5
5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent
(5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible
(1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n
y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
lIf f) = 6x -4, what is f(x) when x= 8?
Answers
Explanation:
6(8) - 4
6•8= 48
48-4=44
Hope this helps!