Answer:
80 ft
Step-by-step explanation:
<em>hey there,</em>
<em />
< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.
Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.
We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >
<u>Hope this helped! Feel free to ask anything else.</u>
Let's assume that a month has four weeks.
If William made 400 miles by travelling only on Saturdays and Sundays and there were 4 weekends during the month, then he travels 400 / 4 = 100 miles during a weekend, which is 100 / 2 = 50 miles a day.
If Jason travels every weekday during the month and he does 500 miles, then he travels 500 / 20 = 25 miles a day.
It means that William travels more miles per day.
Answer:
The corresponding point is (3,-8)
Step-by-step explanation:
we know that
When you add a constant value (k), to the argument of a function, the graph is shifted k units to the left.
so
In this problem
The rule of the transformation is equal to
f(x) ------> f(x+2)
(x,y) ------> (x-2,y)
(5,-8) -----> (5-2,-8)
(5,-8) -----> (3,-8)
Answer: x = (1,9]
Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).
[-3,1)
-x-6<_-3 add 6 both sides
-x<_3 divide by negative 1 which means sign switches
x>_-3
-4x+3>-1 subtract 3 both sides
-4x>-4 divide by negative 4 which means sign switches
x<1
1 is the greater bound meaning x can’t be larger than 1
the sign doesn’t include 1 so it’s the parenthesis in interval notation
-3 is the lower bound meaning x can’t be -3 or less than -3 so the interval notation is
The sign includes -3 so it’s brackets in interval notation
