Answer:
Option B
Step-by-step explanation:
<u>Step 1: Determine the range and domain</u>
Range is asking for what y values are being used. We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.
Domain is asking for what x values are being used. We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides. This gives us the answer that the domain is all real numbers.
Looking at the given options, options C and D are automatically removed because the range is incorrect. Next looking at the domain we see that option A is incorrect which leaves us with option B.
Answer: Option B
Answer:
Step-by-step explanation:
<u>Number of pupils can play either instrument:</u>
<u>Number of those can play both:</u>
Answer:
- Hayes family: 35 hours
- Rodrigues family: 40 hours
Step-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
Answer:
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
