A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallons of water. Write an equation that represents the number yy of gallons of water in the tub after xx minutes. $y=$y=
Answers
original- amount drained after 5 minutes=12
5-2=3
30-12=18
therefor
3 minutes=18 gallons drained
divide 3
1minute=s6 gallons draine
find original
30+2mins=origninal
30+2*6=original
30+12=original=42
so
y=42-6x
Related Questions
For the function f(x)=x^2-12 find (f^-1)(4)
Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her net worth. She finds the difference between her assets, $4,500, and her liabilities, $15,000, and determines her net worth is -$10,500. Evaluate Jean Marie's determination.- Her calculations are correct. - She counted a liability as an asset. - She counted an asset at a liability. - Her answer should be positive.
55 employees increased by 20%
A square has a perimeter of 64 inches What is the length of one side if the square? What is the area of the square??
Answers
1 foot=12 inches
12 feet times 12=144 inches
144+5=149 inches
160>149
it cannot pass through it is too high
4x+3y
a.20
b.21
c.15
d.13
Answers
The required answer would be 14 when substituting x=2 and y=4 in the expression 4x+3y which is the correct answer would be an option (A).
What is the expression?
Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?
Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to evaluate 4x+3y when substitute x=2 and y=4
We have been given that expression as
⇒ 4x + 3y
Substitute the values of x = 2 and y = 4 in the above expression, and we get
⇒ 4(2) + 3(4)
⇒ 8+ 12
⇒ 20
Therefore, the required answer would be 20.
Learn more about the Expressions here :
#SPJ2
-a^2 b^2 c^2 (a + b - c)
Answers
Answers
Answer:
(a) 2(x -a)
(b) 4x +2h
Step-by-step explanation:
Fill in the function arguments and simplify.
a.
__
b.
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
Can anyone show the steps on how to get the answer?
Answers
The answer is (x-4)^2 = 3
Procedure
Complete a perfect square trinomial to factor:
x^2 - 8x + 13 = 0
Notice that -8x = 2(x)(4)
Given tha x is the square root of x^2, we want to include the square of 4, which is 16.
We must just add 16 to the first two terms, which, of course, obliges to substract the same number to maintain the equality. This way:
(x^2 - 8x + 16) + -16 + 13= 0
Now the three terms in parenthesis can be factor as a binomial squared:
(x - 4)^2 + 13 -16 =0
(x - 4)^2 - 3 = 0
(x - 4)^2 = 3 Which is the answer.
Let me know whether you could follow the explanation.
Answers
Answer:
The other line is y= 8x - 7
Step-by-step explanation:
The given equation in two variable is
y= 8x ± 7
The two equations in two variables are:
Ax + By +C=0
P x + Q y +R=0
Now, the condition that these two equations has no solution is if;
A/P = B/Q ≠ P/R
Another condition is in terms of line , if the two lines have same slope.
For example, y= ax + b and , y = ax + p are two lines having same slope means they are parallel, that is they will never intersect.
If the line is , y = 8x + 7, the other line will be, y= 8x - 7
Answer: Y = 8X - 7
Step-by-step explanation:
A system of equations with no solution, means the two lines are parallel to each other.
If parallel to each other, they will have common gradient but different intercept.