Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
Answer:
3:4
Step-by-step explanation:
divide both sides by 6 to get simplest form
In this case we use intersecting secant theorem
According to this theorem, GF*GE = GH*GA
So,we plug in the values
(x-3)*(x-3+9) =(x-2)*(x-2+6)
(x-3)*(x+6) =(x-2)*(x+4)
x^2 +6x -3x -18 =x^2 +4x -2x -8
x^2 +3x -18 =x^2 +2x -8
x^2 +3x -18 -x^2 -2x +8 =0
x -10 =0
x=10
So,FG =x-3 = 10-3 =7
Answer:
Step-by-step explanation:
Solution
I'm assuming you want this simplified. If not leave a note.
a(x + 1) - b(x + 1) - x - 1 remove the brackets
ax + a - bx - b - x - 1 gather like terms
ax - bx - x + a - b - 1
x(a - b - 1) + (a - b - 1) Use the distributive property to simplify
Answer
(x + 1)(a - b - 1)
The common factor is (a - b - 1). That can be pulled out on either side of the isolated + sign
The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2
<h3>What is the average rate of change the function?</h3>
The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.
It is expressed as;
Given the data in the question;
- f( x ) = x² + 7x + 6
- Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]
Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )
Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )
Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )
Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )
Average rate of change = ( 0 + 6 ) / ( 3 )
Average rate of change = 6 / 3
Average rate of change = 2
Therefore, the average rate of change of the function is 2.
Learn more about average rate of change here: brainly.com/question/28744270
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