The answer will be 50 quarts using proportion and ratio
<h3>
Answer:</h3>
4. -3
5. 3
<h3>
Step-by-step explanation:</h3>
4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
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5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
Answer:
b=9,a=12
Step-by-step explanation:
I solved by substitution:
b = 3/4a ---> plug this into the other equation
a + b = 21 is now a + 3/4a = 21
Reduce: 7/4a = 21
a = 12
Now solve for b:
b=3/4a is now b=3/4(12)
b=9
Answer:
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 1
Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed = 
1. total distance covered = 
+ 
= 
= 
= 4
inches
Total time taken = 
+ 
= 
= 
= 3 minutes
The ants average speed = 
= 1
= 1.5
The ants speed is 1 inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x = 
= 
= 0.05 hours
Speed = 
= 90 inches per hour
The red ants speed is 90 inches per hour.
