-50 since an integer is the opposite of a whole number positive or negative
Number of grams of cereal A = a
Number of grams of cereal B = b
One gram of Cereal A has: 6 mg of sodium and 7 calories
One gram of Cereal A has: 8 mg of sodium and 5 calories
We need to make sure that the cereal contains maximum 200 mg sodium
⇒ Number of grams of cereal A × Sodium quantity in a gram of cereal A + Number of grams of cereal B × Sodium quantity in a gram of cereal B <= 200 mg
Substituting the required values
⇒ a×6 + b×8 <=200
Further simplifying the above equation
⇒ a×3 + b×4 <=100
Further, we need to make sure that the cereal contains maximum 150 calories
⇒ Number of grams of cereal A × Calories in a gram of cereal A + Number of grams of cereal B × Calories in a gram of cereal B <= 150
⇒ a×7 + b×5 <=150
Hence, the system of inequalities that represents the possible mix is:
a×3 + b×4 <=100 AND a×7 + b×5 <=150
The correct answer is Choice A.
If the speed is a function of the height, we would use the notation speed(height). On the left, we put the output and in the parenthesis we put the input.
We can change the word height to 200, because we know the height is 200.
A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?
Answer:
Step-by-step explanation:
Given:
A stuntman jumping off a 20-m-high building is modeled by the equation
-----------(1)
A high-speed camera is ready to making film between 15 m and 10 m above the ground
when the stuntman is 15m above the ground.
height 
Put height value in equation 1
We know that the time is always positive, therefore 
when the stuntman is 10m above the ground.
height 
Put height value in equation 1
Therefore ,time interval of camera film him is
