Answers
Answer:
[tex]y=3x[/tex] (Equation 1)
[tex]y=x-2[/tex] (Equation 2)
We can substitute Equation 1 into Equation 2 like so:
[tex]y=x-2[/tex]
[tex]3x=x-2[/tex]
Subtract x from both sides:
[tex]2x=-2[/tex]
Divide both sides by 2:
[tex]x=-1[/tex].
Substitute [tex]x=-1[/tex] into Equation 1 to find y:
[tex]y=3x[/tex]
[tex]y=3(-1)[/tex]
[tex]y=-3[/tex]
Related Questions
Write 2,000,000 + 70,000 + 5,000 + 40 + 6 in word form?
Answers
Answer:
You can add the numbers or count according to the number of zeroes present in the expanded form and write the digits down.
2075046
Answer:
Step-by-step explanation:
two million seventy five thousand forty-six
In a regression analysis if SST = 4500 and SSE = 1575, then the coefficient of determination is:___________.A) 0.35B) 0.65C) 2.85D) 0.45
Answers
Answer:
B) 0.65
Step-by-step explanation:
In a regression analysis, the formula for the coefficient of determination (R²)=
1 - SSE/SST
SSE = Sum of squared of errors
SST = Total sum of squares
From the above question,
SST = 4500
SSE = 1575
Coefficient of determination (R²) = 1 - 1575/4500
= 1 - 0.35
= 0.65
Therefore, the coefficient of determination = 0.65
The coefficient of determination of the given parameter is (b) 0.65
The given parameters are:
[tex]SST = 4500[/tex] --- the total sum of squares
[tex]SSE = 1575[/tex] --- the sum of squares error
The coefficient of determination (R²) is calculated using the following formula
[tex]R^2 = \frac{SST - SSE}{SST}[/tex]
Substitute values for SST and SSE
[tex]R^2 = \frac{4500 - 1575}{4500}[/tex]
Simplify the numerator
[tex]R^2 = \frac{2925}{4500}[/tex]
Divide the fraction
[tex]R^2 = 0.65[/tex]
Hence, the coefficient of determination is (b) 0.65
Read more about coefficient of determination at:
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what are two fractions whose product is greater than 1.
Answers
Answer:
2/3 x 4/2
Step-by-step explanation:
A crew of highway workers paved 14 mile in 16 hour. If they work at the same rate, how much will they pave in one hour?
Answers
xmiles.......1hour
14x1=14
14/16=0,88 miles
I need help with this question
Answers
Answer:
D
Step-by-step explanation:
of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2
Answers
Step-by-step explanation:
X + 6 = 3x - 2
Bringing like terms on one side
6 + 2 = 3x - x
8 = 2x
8/2 = x
4 = x
Answer:
subtracting 6 from both sides
Step-by-step explanation:
unit rate of the given quantities
16 skiers on 4 boats
Answers
Answer: 16/4
Step-by-step explanation: all you do is convert it into a fraction
what is the answer
Answers
Answer:
The answer is C.
Step-by-step explanation:
On each unit go left 4 spots and down 3 spots.
The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value? Gas in Marco’s Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11 0 gallons 2 gallons 3 gallons 6 gallons
Answers
Answer:
C
Step-by-step explanation:
The initial value obtained using the slope-intercept relation is 3 gallons.
We need to obtain the rate of change which gives the amount of gas entering into his car per second :
Rate of change = Rise / RunRate of change = - 11 - 3) / (48 - 0)
Rate of change = 8/48 = 1/6 gallons
Using the slope intercept relation :
y = bx + c b = slope ; c = initial amount of gasChoosing any pair of (x, y) point on the table :
(0, 3)
3 = 1/6x + c
3 = 1/6(0) + c
3 = 0 + c
c = 3
Therefore, the initial value is 3 gallons.
Learn more : https://brainly.com/question/23105648
Please help me please help me!
Answers
Step-by-step explanation:
D=360-20-25-80=235
x=360-235=125
Answer:
BDC + ABD +ACD + BAC = 360
80 + 20 + 25 + BDC = 360
BDC + 125 = 360
BDC = 360-125
BDC = 235
Now,
BDC + x = 360
235 + x= 360
x = 360-235
x = 125
The scale of a map says that 4 cm represents 5 km.What is the actual number of kilometers that is represented by 5 centimeters on the map?
Answers
Hey there! I'm happy to help!
We see that 4 cm represents 5 km. We want to see how much 5 cm represents.
To get from 4 cm to 5 cm, you multiply by 5/4. So, we multiply our 5 km by 5/4 to see how kilometers are represented by 5 centimeters on the mask.
5(5/4)=6 1/4
Therefore, the number of km represented by 5 cm on the map is 6 1/4 km.
Have a wonderful day! :D
Find the area of a right triangular region whose sides containing the right angles are 20m and 15m.
Answers
Answer:
Step-by-step explanation:
You have everything you need to find the area directly
A = 1/2 * b * h
b = 20
h = 15
Area = 1/2 * 20 * 15
Area = 150 m^2
Rufus collected 18 pounds of
aluminum cans to recycle. He
plans to collect an additional 2
pounds each week. He wants to
collect a total of 42 pounds of
aluminum cans. Let x represent
the number of weeks Rufus
collects aluminum cans.
Answers
Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
Evaluate the expression when a=-7 and x=2.
a-6x
.
х
5
?
Answers
Answer: 15
-7 - 6 - 2
This is the same as 7 + 6 +2, but negative due to the sign.
So, -15.
Answer:
-19
Step-by-step explanation:
a-6x
(-7)-6(2)
-7-12
-19
what is the area in square meters of 6 triangles
Answers
which inequality represents the following situation 3/5×5 less than a number is no more than 27
Answers
Answer:
Step-by-step explanation:
The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 150 orders will be used to estimate the proportion of first-time customers.Required:a. Assume that the president is correct and p = 0.30. What is the sampling distribution of p bar for this study?b. What is the probability that the sample proportion p bar will be between 0.20 and 0.40?c. What is the probability that the sample proportion will be between 0.25 and 0.35?
Answers
Answer:
Step-by-step explanation:
p = .3
n = 150
p(bar ) = 1 - p = .7
[tex]\sigma_p=\sqrt\frac{p(1-p) }{n} }[/tex]
[tex]\sigma_p=\sqrt\frac{.3(1-.3) }{150} }[/tex]
=.037
b )
P ( .2 <p<.4 ) = P [ (.2 - .3) / .037 < z < ( .4 - .3 ) / .037 ]
= P [ (-2.7 < z < +2.7 ]
= .9965-.0035
= .993
c )
P ( .25 <p<.35 ) = P [ (.25 - .3) / .037 < z < ( .35 - .3 ) / .037 ]
= P [ (-1.35 < z < +1.35 ]
= .9115 - .0885
= .823
The set of ordered pairs (-1, 8), (0, 3), (1, -2), and (2. -7) represent a function. What is the range of the function?
{x x=-1, 0, 1, 2}
fy: y=-7, -2, 3, 8}
{x: x= -7, -2,-1, 0, 1, 2, 3, 8}
{y: y = -7, -2,-1, 0, 1, 2, 3, 8}
Answers
Answer:
B
Step-by-step explanation:
got it right on edg
Answer:
B
Step-by-step explanation:
Just got it correct on Edge!!!!!
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2? How do you know?
Answers
Answer: 0.5 meters because m=meters and meters/2 = 0.5
The required measure of the angle m∠2 is 138°.
Given that,
A bicycle path divides a rectangular park. The path makes a 42° angle with the top border of the park, so mZ1 = 42°. What is m/2 is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
According to the question,
Let the measure be x,
Now the bicycle path divides the rectangular park,
So,
m∠1 + m∠2 = 180
42 + x =180
x = 180 - 42
x = 138°
Thus, the required measure of the angle m∠2 is 138°.
learn more about rectangles here:
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I solved it but I am getting 30 % another friend got 40% please explain to me how and which is right. work: 4/10 =.4 .... .4 x 100 = 40 % Formula percentile over rank
Answers
Answer: C) 40th percentile
=========================================================
Explanation:
The original list is {827,691,616,740,651,772,868,557,891,937} which has 10 items inside it.
The list sorts to {557,616,651,691,740,772,827,868,891,937}
We see that there are 3 items below 691. So one way to calculate the percentile is to do 3/10 = 30% like you did for your answer.
However, the term "percentile" is ambiguous as there is another way to calculate percentile. The other method involves the term in question. So we have 4 terms in the sublist {557,616,651,691} which is how your friend got 4/10 = 40%
It's unfortunate why this term is not well defined. Ideally your teacher would state instructions on how to deal with this dilemma, or post a formula to use.
The good news is at least "30th percentile" isn't listed as an answer choice, so we can rule out the first method above.
For a fundraiser the sixth graders have 288 bags of popcorn to sell. There are 3 sixth- grade classes. If each class sells an equal number of bags, how many bags of popcorn does each class sell?
Answers
Answer:
96
Step-by-step explanation:
288 divide by 3
The diameter of the Sun is approximately 1,392,000,000 meters. What is this length
expressed in scientific notation
Answers
Answer:
1392 x 10 m
Step-by-step explanation:
Answer:
1.392 x 10⁹ m
Step-by-step explanation:
when you put numbers in scientific notation, there is one (1) non-zero number before the decimal
1.392
now count how many place you would have to move the decimal to the right in order to make 1,392,000,000
9 place
this means your second half looks like x 10⁹
now put it all together
1.392 x 10⁹ m
I need help thank you
Answers
Answer:
Dilation factor is 2 (two)
Step-by-step explanation:
The dilation factor that maps one triangle ABC to its image A'B'C' can be obtained by finding the relationship between the x and y coordinates of each image point to the original:
A' = (6, 2) when A is (3, 1)
We observe a factor of 2 in the two coordinates.
B' = (-4, 4) when B is (-2, 2) Also a factor of 2 (two)
Same for point C.
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answers
Answer:
86 is his final grade. He lost 24 points and gained 10 points .
Step-by-step explanation:
There are 25 questions total. Assuming that answering all 25 questions correctly earns you a 100.
Choose the equivalent ratio for 6:7
a
36:42
b
42 to 36
c
3:4
d
2:18
Answers
Sorry for the late answer, but it's A.
Explanation 6 times 6 equals 36, and 7 times 6 equals 42.
Brainiest?
What is the equation that represents the scenario?
O y = x + 5
O y = 5x
O y = 3x
O y = x + 15
Answers
Answer:y=5x
Step-by-step explanation:
B
Answer:
B. y=5xHave a good day! :) :) :)
Donovan is buying plates and cups for a party do you want to same number of each plate or solid in packs of 8 cups are sold in packs of 12 what is the least number of plates and cups that Donovan can buy
Answers
Answer:
the awnser is 4
Step-by-step explanation:
Can someone help me ? Its due today please
Answers
Answer:
x=3
y=5
Step-by-step explanation:
3x+2y=19
- 2x+2y=16
_____________
x=3
3(3)=9
19-9=10
10÷2=5
y=5
Answer:
x=3
y=5
Step-by-step explanation:
Method 1 ; Substitution Method
[tex]3x + 2y =19\\2x+2y=16\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:3x+2y=19:\\\quad x=\frac{19-2y}{3}\\\\\mathrm{Subsititute\:}x=\frac{19-2y}{3}\\\begin{bmatrix}2\times \frac{19-2y}{3}+2y=16\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{38+2y}{3}=16\end{bmatrix}\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{38+2y}{3}=16:\quad y=5\\\\\mathrm{For\:}x=\frac{19-2y}{3}\\\\Substitute\:y\:= \:5\\x=\frac{19-2\times\:5}{3}\\\\\frac{19-2\times\:5}{3}=3\\\\x=3,\:y=5[/tex]
Method 2 : Elimination method
[tex]\begin{bmatrix}3x+2y=19\\ 2x+2y=16\end{bmatrix}\\\\\mathrm{Multiply\:}3x+2y=19\mathrm{\:by\:}2\:\\\mathrm{:}\:\quad \:6x+4y=38\\\\\mathrm{Multiply\:}2x+2y=16\mathrm{\:by\:}3\:\\\mathrm{:}\:\quad \:6x+6y=48\\\\\begin{bmatrix}6x+4y=38\\ 6x+6y=48\end{bmatrix}\\\\6x+6y=48\\-\\\underline{6x+4y=38}\\2y=10\\\\\begin{bmatrix}6x+4y=38\\ 2y=10\end{bmatrix}\\\\\mathrm{Solve}\:2y=10\:\mathrm{for}\:y:\quad y=5\\\mathrm{For\:}6x+4y=38\mathrm{\:plug\:in\:}y=5[/tex]
[tex]\mathrm{Solve}\:6x+4\times\:5=38\:\mathrm{for}\:x:\quad x=3\\\\x=3,\:y=5[/tex]
Hamid has gained weight. He now weights 88kg, which is 10% higher than his normal weight. What is Hamids normal weight
Answers
Let his normal weight = 100%
He is 10% more so he is 110%
Divide his weight now by 110% to find his normal weight.
88/1.1 = 80
His normal weight is 80 kg
Simplify each expression . Justify each step . (6^7) (5^3 +2) (2- 2)
Answers
Answer:
0
Step-by-step explanation:
Start with exponents inside parentheses
(279936)(125+2)(2-2)
Then solve inside parenthesis
(279936)(127)(0)
Then Multiply
0
Anything times zero is zero
