Answers
Step-by-step explanation:
Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:
[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]
Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].
[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.
Answer:[tex]y = \frac{1}{3}x + 4\\[/tex]
Related Questions
Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6
Answers
Answer:
y' = (x² + 4)eˣ
Step-by-step explanation:
Power rule: y' = f'(x)g(x) + f(x)g'(x)
[tex]\frac{d}{dx} [e^x]=e^x[/tex]
Step 1: Write equation
y = (x² - 2x + 6)eˣ
Step 2: Differentiate
Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣ(6-x3)5=45 Please help
Answers
If 4x + 3x - 2(x + 5) = -9, then x = ?
A-12
B
C
Is
D
213
E
"15
Answers
Answer:
the answer is 5
Step-by-step explanation:
1. first you need to take -2 and use the distributive property on (x + 5). when you do that you should get -2x -10.
2. 2nd then your equation should look like 4x + 3x -2x -10 = -9. so after you get this equation you then add 4x + 3x. you should get 7x and your equation should look like 7x -2x -10 = -9.
3. 3rd the next step is to take 7x and subtract it from -2x. when you get dont doing this you should get 5x and then your equation will look like 5x -10 = -9.
4. 4th now we need to get all the normal numbers to one side. so you will add a positive 10 to the negative 10. when you do that the numbers cancel out. you have to do this to both sides. so you will add a positive 10 to the negative 9 and you should get positive 1. when you complete this step your equation should look like 5x = 1.
5. 5th you take 5x and divide it by 1 and you should get 5. 5 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
Which unit of measurement would be the most appropriate to measure a bottle of nail polish
Answers
Answer:
milliliter
Step-by-step explanation:
Most of nail polish have their measurement in ml
a: -20
b:-8
c:8
d:48
¿?
Answers
Answer:
the correct answer is -8
Step-by-step explanation:
to find this you are going to substitute 8 in for x in the equation
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
Answers
Answer:
(50+10n)+(90+7n)
The midpoint of xy is located at the origin
Answers
Answer:
Is there supposed to be an image?
Step-by-step explanation:
What is 471,284 rounded to the nearest
thousands
Answers
Answer:
471,000
Step-by-step explanation:
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answers
Answer:
espera y termino y te ayudo vale que me falta poco vale
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Answers
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
[tex]101 + 38 + x = 180[/tex]
[tex]139 + x = 180[/tex]
[tex]x = 180 - 139[/tex]
[tex] = x = 41[/tex]
[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]
HELP PLEASE ! find the value of X the diagram is not to scale.
Answers
Answer:
20 + 4x = 180
Step-by-step explanation:
180-20= 160
160=4x
160/4= 40= x
Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Answers
Answer:
( 1.5, 0)
Step-by-step explanation:
1. Find the coordinates ; in this case (7,-2) and (-4, 2)
2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)
3. ( 7 + -4 ÷2) = 1.5 And ( -2 + 2 ÷ 2) = 0
4. Therefore, the midpoint is ( 1.5, 0 )
the graph shows the total number of inches of snow that fell in a town in february over ten year period. what is the approximate probability that year 11 will have more that 15 inches of snow?
Answers
Answer:
0.6 because its 58% chance which is 0.58 which rounds to 0.6
Step-by-step explanation:
Given 36 − 9, simplify the expression using the Difference of Squares.
Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.
36 − 9
62 − 32
This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.
Answers
Answer:
See below
Step-by-step explanation:
Using formula
x^2 - y^2 = (x + y)(x - y)Applying to given expression
36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:
Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8
Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?
Answers
Answer and explanation:
Please find attached answer and explanation
5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *
Answers
Answer:
Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.
Andrew drew a square with each side measuring 3 inches. Lindsay drew a triangle with each side measuring 4 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.
Answers
Answer:
they have the same perimeter.
Step-by-step explanation:
3in × 4 = 12in
4 in × 3 = 12in
Find the product of (18k+ 2m)(m + k)
Answers
Answer:
18k^2+2m^2+20km
Step-by-step explanation:
What are the angles x?
Answers
Answer:
TOP LEFT TRIANGLE: x=28°
BOTTOM LEFT TRIANGLE: x=90°
TRIANGLE ON THE RIGHT: x=34°
Step-by-step explanation:
TOP: the triangle on the right has 90 and 39. That makes the third one 51. It’s supplement is 129. 129+23=152. 180-152=28. X=28°
BOTTOM: 180-119=61. 61+29=90. 180-90=90. X=90°
RIGHT: right triangle has 90 and 70. 90+70=160. 180-160=20
180-70-41-15-20=34°
The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .
Answers
Answer:
he formula for perimeter is the sum of
twice the width and twice the length, so
the formula would be:
Perimeter = 2W + 2L
In this problem:
Width is unknown (x)
Length is twice the width (2x)
and Perimeter = 60, so to set it up:
102= 2x + 2(2x)
102= 2x + 4x
102 = 6x
x = 10
Step-by-step explanation:
I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS
I need help plz with this question
Answers
1/4 & 2/9 are perfect squares and the rest aren’t
More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answers
Answer:
21
Step-by-step explanation:
On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.
Answers
Answer:
$17.49
Step-by-step explanation: You need to subtract $30.39 by $12.90
$30.39
-$12.90
First, its 9 - 0 which will = 9.
Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.
So 13 - 9 = 4.
Now you have 9 - 2. Which will = 7.
Last, its 2 - 1 which will = 1.
so after all of that you get: $17.49
Answer:
Step-by-step explanation:
To find the balance, take the old balance and subtract the amount spent on groceries. next u have to minues -12.90 from 30.39 =17.49
27 - 4x + -7 ( 1 + 3x)
Answers
Answer:
-25x + 20
Step-by-step explanation:
I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:
27 -4x -7 -21x
We can now combine like terms to simplify:
-25x + 20
27-4x+-7(1+3x)
27 - 4x - 7(1+3x)
27 - 4x - 7 - 21x
-25x + 20
In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)
The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.
(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)
(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
Answers
Answer:
A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]
B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will occur[tex]=\frac{1}{7}[/tex]
b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
can someone please answer both
Answers
Answer:
2.16•x is up ur function
21. 6 feet in 10 minutes
Step-by-step explanation:
when u multiply by ten u move the decimal to the right one place
Answer:
this is what u need .........
What is the domain of the function in this table?
X | Y
1 | 2
2 | 4
3 | 3
4 | 2
CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}
PLEASE HELP URGENT
Answers
Answer: B. {1, 2, 3, 4}
Step-by-step explanation:
The domain is the set of input values (in other words, x values)
Can y’all help me in this please
Answers
Answer:
this may be wrong but i think its p
Step-by-step explanation:
What's the GCF of 32a, and 48b
Answers
Which table has a constant of proportionality between y and x of 0.3
Answers
when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.