Answer:
The quality control facility operates for 10 hours each day.
Step-by-step explanation:
The given function models the number of cars that are put through a quality control test each hour at a car production factory.
The given function is
We need to find the number of hours does the quality control facility operate each day.
Rewrite the given function it factored form.
Taking out the common factors from each parenthesis.
The factored form of given function is c(t)=-(t-10)(t+2).
Equate the function equal to 0 to find the x-intercept.
Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.
3 is in the hundreds place, therefore 3 hundreds or 300
Answer:
144°, 144°, 36°, 36°.
Step-by-step explanation:
Take shorter angle = x
Then the bigger angle = 4x (4 times the other angle)
In a parallelogram, there are 4 angles. Also, in a parallelogram opposite angles are equal to each other.
So,
1 angle = x
2 angle = 4x
3 angle = x
4 angle = 4x
The sum of all 4 angles in a parallelogram = 360°. So,
4x + x + 4x + x = 360°
10x = 360°
x = 360/10
x° = 36°
4x = 36 × 4 = 144°
Angles in the parallelogram = 144°, 144°, 36°, 36°.
Hope it helps ⚜
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer: y = -3.5x - 4.5
suppose: the equation of the line is y = ax + b ( a ≠ 0 )
because the line passes through (-2;2.5) => 2.5 = -2a + b
the line passes though (0;-4.5) => -4.5 = b
=> b = -4.5
2.5 = -2a + b
=> a = -3.5
b = -4.5
=> the equation of the line is y = -3.5x - 4.5
Step-by-step explanation:
