Answer by JKismyhusbandbae:
Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
h = (-16t² + 24t + 6)
= -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
= -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Alison have 100 baseballs cards .
- A expression is a statement containing at least two numbers/variables and at least one mathematical operation.
- An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.
- The terms that appear in the formula are:
- Constant: A constant is a fixed number.
- Variables: Variables are symbols that do not have fixed values.
- Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Let the number of footballs cards Alison have be "x".
It is given that Allison has 5 times as many baseball cards as football cards which can be represented by an expression given by
number of baseball cards = 5 × number of football cards
number of baseball cards ...(1)
She has total of 120 baseball and football cards which can be represented by an expression given by
Baseball cards + football cards = 120
From equation (1) , put x = 20 we get
Baseball cards =
cards
Learn more about expression here :
brainly.com/question/723406
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Let consecutive odd numbers be
x , x+2 , x+4
Smallest number =x
Middle number =x+2
Largest number =x+4
According to condition (x) +(x+2) -27 = 3(x+4)
x+x+2-27= 3(x+4)
2x-25= 3x+12
Subtracting 2x and 12 both sides
2x-25-2x-12=3x+12-2x-12
-37= x this is smallest odd number.
Other two odd numbers are (x+2)= (-37+2)=(-35)
& (x+4)=(-37+4)=(-33)
so three consecutive odd numbers are -37 ,-35 , -33
Answer:
X = 13
Step-by-step explanation:
x + x + 3 + x - 2 + 3x + 9 - 1 = 87
6x + 9 = 87
6x = 87 - 9
6x = 78
x = 78/6
x = 13