(5,22.45),(7,25.45)
slope = (25.45 - 22.45) / (7 - 5) = 3/2 or 1.5
y = mx + b
slope(m) = 1.5
use either of ur points...(5,22.45)...x = 5 and y = 22.45
now sub and find b
22.45 = 1.5(5) + b
22.45 = 7.5 + b
22.45 - 7.5 = b
14.95 = b
so ur equation is : y = 1.5x + 14.95.......this means that each quart of oil costs $ 1.50 and the labor fee costs $ 14.95
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force
applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate
:
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):

(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of
, its mass
will be:
(6)
(7)
Finding
:
This is the mass of the object
Answer: =(x - 1) x (x^2 + x + 1)
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Answer: 34
I hope this helped!
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- Zack Slocum
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9514 1404 393
Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0