= <span><span>−x</span>+6</span>
<span>=<span><span> −<span>3x</span></span>+3</span></span>
<span>= </span><span><span>−x</span>+6</span>
= <span><span>2x</span>−3</span>
<span>= <span><span>−<span>4x</span></span>−<span>17</span></span></span>
Answer:
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is
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Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
4 fries + 6 cheeseburgers = $52
3 fries + 2 cheeseburgers = $24
9 fries + 6 cheeseburgers = $24×3
= $72
$72-$52=$20
5 fries = $20
1 fries = $20÷5
= $4
1 cheeseburger = [$24 - (3×$4)]÷2
= $6
Answer:-4
Step-by-step explanation:
Subtract 5 from each side, which leaves you with 3x=-12. Then divide each side by 3. Then that leaves you with x=-4
