The equation in the standard from is 2x + 3y = -18.
What is the linear equation?The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equation is y = -2/3 x - 6
The standard form of linear equation is Ax +By = C,
where A,B,C are numbers and x,y are intercepts.
⇒ [tex]y=\frac{-2}{3}x -6[/tex]
Taking LCM on RHS,
⇒ [tex]y=\frac{-2x-18}{3}[/tex]
⇒ [tex]3y=-2x-18[/tex]
Rearrange the equation in the standard from,
⇒ [tex]2x+3y=-18[/tex]
Hence we can conclude that the equation in the standard from is 2x + 3y = -18.
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Which statement correctly compares the function shown on this graph with
the function y= 4x+2?
1 2 3 4 5
O A The function shown on the graph has a greater rate of change and
a higher starting point
O B. The function shown on the graph has a smaller rate of change, but
a higher starting point
O C. The function shown on the graph has a smaller rate of change and
a lower starting point
O D. The function shown on the graph has a greater rate of change but
a lower starting point
PLEASE ANSWER
Answer:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
Step-by-step explanation:
Rate of change = slope of a linear graph.
Given the linear function, [tex] y = 4x + 2 [/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use coordinates of any two points on the line. Let's take,
[tex] (0, 4) = (x_1, y_1) [/tex]
[tex] (1, 7) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{7 - 4}{1 - 0} = \frac{3}{1} = 3 [/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
Answer:
A
Step-by-step explanation:
Correct on A P E X
The mass of Planet X is 8.46×1022 kilograms. The mass of Planet Y is 5,028,000,000,000,000,000,000 kilograms. About how many times greater is the mass of Planet X than the mass of Planet Y?
A. 1.6 times
B. 3 times
C. 16 times
D. 30 times
Answer:
A.16 and some of you might get the answer is 17
So I don't have an explanation I just wanted to correct the number 1022 the correct number is 10^22 and if I were wrong then non of the choices are correct.
CAN ANYONE HELP ME PLEASE AND THANK YOU
Answer:
(-3,5)
Step-by-step explanation:
what is 53−(648)+102
Answer:
-493
Step-by-step explanation:
Answer:
-493:) brainly?
Step-by-step explanation:
The population of Centerville is 1,600 people to the nearest 50 people. What are the upper and lower bounds of the population?
The lower bound is 1,575 people, and the upper bound is 1, 625 people.
The lower bound is 1,550 people, and the upper bound is 1, 650 people.
The lower bound is 1, 650 people, and the upper bound is 1, 700 people.
The lower bound is 1,500 people, and the upper bound is 1, 700 people.
Answer:
Not positive but im pretty sure it is the first one.
Step-by-step explanation:
What’s the answer?????
Answer:
x=2
y=.75
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1.5/0.75 = 2
5/1.5 = 2
Hence the common ratio (constant of proportionality) is 2
The population has decreased by 300 residents over the past 5 years. The same number the same number of residents left each year what was the change in the towns population each year
Answer:
-60
Step-by-step explanation:
Increase in population is given by positive sign
Change in population in 5 years = -300
Decrease in population is represented by negative sign
Change in population in 1 year = -300\5
= -60
Town's population faces a decrease of 60 residents each year.
Step-by-step explanation:
what is the expression in from 4^n
Answer: 14n or (14×n)
Step-by-step explanation:
question:
$1.59 for 12 shells
Answer:
about $0.13
Step-by-step explanation:
Answer:
13 cents
Step-by-step explanation:
1.59 divided by 12
Ana is going to a craft fair where she'll sell her handmade scarfs. She has six scarf designs, and she's made 15 of each. She's paid $128 for the booth, and each scarf costs $9.80 to make. How much should she charge for each scarf if she wants to break even after selling a third of her scarves?
Answer:
$33.6667
Step-by-step explanation:
Given the following :
Number of Scarf designs = 6
Number of each made = 15
Total scarfs = (15 * 6) = 90
Cost:
Booth = $128
Production cost per scarf = $9.80
Total production cost = $9.80 * 90 = $882
Total cost = $128 + $882 = $1010
Break even = profit - loss = 0
One third of scarves = 1/3 * 90 = 30
This means he must cover for the total cost of $1010 after selling 30 scarves
Hence price per scarf will be :
$1010 / 30
= $33.6667
There are 365 days in a year and 24 hours in a day. An airport camera records for 18 hours and then automatically resets itself to start recording again how many times does the video camera reset itself in a year.
pls help
The answer is 486.6
There are 8,760 hours in a year, so 18 divided by 8,760 would = 486.6
Answer:
Step-by-step explanation:
You could do it this way.
How many hours are there in a year?
365 * 24 = 8760 hours.
This camera does not recognize days. It works on hours. Every 18 hours it resets. So
8760/18 = 486 and 2/3 times.
Obviously it cannot have 2/3 of a day. Normally you would round up, but this time you round down.
The answer is 486 times.
2/3 * 24 = 16
The camera would reset 2 hours into the next day.
What’s the radius and diameter
Answer:
Radius=11
Diameter=22
Step-by-step explanation:
The radius is already pictured above and the diameter is twice the size of the radius. Hope that helps!
What is the equation of the graphed line?
a. y=x+4
b. y=-x-3
c. y=-x+3
d. y=-x-4
Answer:
b.) y=-x-3
Step-by-step explanation:
Your slope is negative 1 and the y intercept is -3.
A whole number k is greater than 3. Which of the following is true about k/3?
Answer:
D) It is greater than 1.
Step-by-step explanation:
Since k is greater than 3, it could not be between 0 and 1/3 and also could not be between 1/3 and 1
We also know that it is not equal to 1 because it is greater than 3.
Therefore, it is greater than 1.
The water level of a lake fell by 1 1/2 inches during a 1 2/3-week-long dry spell. Find the average rate at which the water level changed every week.
Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.
Step-by-step explanation:
Given: Change in water level in [tex]1 \dfrac23[/tex] week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes
To find : The average rate at which the water level changed every week.
i.e. Change in water level per week.
As [tex]1\dfrac23 = \dfrac52[/tex]
Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]
Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.
We want to find the average rate of change at which the water level changed in a given time period.
We will find that the average rate of change is:
[tex]r = - 0.9 in/week[/tex]
We define the average rate of change as the quotient between the total change and the time it takes.
Here we have:
total change = -(1 + 1/2) in
Time = (1 + 2/3) weeks
Then the average rate of change is:
[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]
This means that the water level decreases, in average, 0.9 inches per week.
If you want to learn more, you can read:
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5 x 2/3 in simplest form
Answer:
10/3
Step-by-step explanation:
Answer:
10/3
Step-by-step explanation:
5/1 x 2/3= 10/3
5 x 2 = 10
1 x 3 = 3
You cannot simplify 10/3.
Divide. 8 divided by 1/3
Answer:
24
Step-by-step explanation:
8 ÷ 1/3
8/1 ÷ 1/3
8/1 ⋅ 3/1
8 ⋅ 3 = 24
1 ⋅ 1 = 1
24/1 = 24
A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2 miles per hour faster downstream due to the current. How far does the boat travel upstream? Which is the best equation to use?
Answer:
17.5 miles per hour
Step-by-step explanation:
A boat travels upstream on a Mississippi river for 3.5 hours
The return trip takes 2.5 hours
The boat travels 2 miles per hour faster downstream
Let y represent the speed that was travelled upsteam
3.5y = 2.5(y + 2)
3.5y = 2.5y + 5
3.5y - 2.5y = 5
y = 5
Therefore the distance travelled by the boat upstream can be calculated as follows
= 3.5 × 5
= 17.5 miles per hour
Write an equation of the line that is parallel to the given line and contains point P
y=6x-5; (-3, -14)
A) y=6x-9
B) y=6x-11
C) y=6x-14
D)y=6x+4
Answer:
ouu, easy peasy; D.
Step-by-step explanation:
If you use desmos and type in (-3,-14), and then type D under it, it'll pass through the dot. The others didn't.
(b^5)^3 x b^4 simplify
Answer:
b^19
Step-by-step explanation:
In the first factor, we need to use a formula to simplify. The formula is x^a^b = x^(ab). So that means that our first factor simplifies to b^15. Then we add up the powers to simplify it even more. b^15 * b^4 = b^19 using another formula. Therefore b^19 is the answer.
The model shows the expression 20 + 16.
Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)
Answer:
4 (5 + 4)Step-by-step explanation:
20 + 16
= 4 (5 + 4)
= 4(5) + 4(4)
= 20 + 16
therefore, the answer is 4 (5 + 4)
x/4+10=16
solve for x
Answer:
x=24
Step-by-step explanation:
x/4+10=16
x/4=16-10
x/4=6
x=24
Answer:
x=24
Step-by-step explanation:
x/4+10=16
subtract 10 from each side:
x/4=6
multiply by 4 on each side:
x=24
(b) Factorise fully 9b-3b squared
Answer:
Step-by-step explanation:
b(9-3)
pleas help this is due at mid night and idk how to do it
Answer:
i wish i could help but i have to do my work slso that is due 1 min before midnight
Step-by-step explanation:
WILL MARK BRAINLIEST! Which of the following rules represents the function shown in the table?
A) f(x) = n + 3
B) f(x) = 3n
C) f(x) = 1/3n
Answer: B
Step-by-step explanation:
Plzzz help me
Suppose your business has a special checking account used just for paying the phone bill. The balance is $1530.00 this month. Next month the balance will be $1496.30, after that it will be $1432.60, and on the third month the balance will be $1428.90. Write an explicit formula to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?
A) An= 1530 + (n-1) ( -33.70); 46 months
B) An = 1530 + (n-1) (-33.70); 45 months
Please explain for me how you got the answer. Thank you so much
Answer:
B
Step-by-step explanation:
this month=1530
first month=1530-33.70=1496.30
Second =1496.30-63.70=1432.60
Third=1432.60-3.70=1428.90
how to get algebra help
What even is this question?
∛512 has the same value as which of the following?
Answer:
Today: Monday, 12 October 2020
Hour: 07.17 WIB (in Indonesia)
_________________________
∛512
= ∛8³
= 8^3 × 1/3
= 8¹
= 8
remember this!
∛x = x^⅓
Evaluate h(x) = -x2+3x för h(-3).
Answer:
h(-3) = -3
Step-by-step explanation:
h(-3) = -(-3)2 + 3(-3)
h(-3) = 6 - 9
h(-3) = -3
Answer:
h(-3)= -18
Step-by-step explanation:
Substitute -3 for x
-(-3)^2 + 3(-3)
Simplify
-(9) - 9
Answer: -18
Please help thanks guys appreciate it:)
Answer:
37
Step-by-step explanation: