Answer:
Step-by-step explanation:
We know that the equation that models the height of the ball as a function of time is 
.
Where the initial speed is 80 feet.
When the ball lands on the ground, its height will be 
.
So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.
To solve this quadratic equation we use the quadratic formula.
For an equation of the form:
The quadratic formula is:
In this case
Then
We take the positive solution
Answer:-4
Step-by-step explanation:
Subtract 5 from each side, which leaves you with 3x=-12. Then divide each side by 3. Then that leaves you with x=-4
Answer:
Shyam would be 43 years old
Step-by-step explanation:
Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam
Answer:
x = 5
Step-by-step explanation:
Hello!
For this equation, we start by combining like terms. Since we have two terms with the same variable, we are able to add them together:
3x + 2x + 7 = 32
5x + 7 = 32
As you can see, we added 3x and 2x together.
Now, since we are aiming to get x by itself, we need to subtract 7, from both sides:
5x + 7 = 32
5x = 25
Finally, we divide the 5 attached onto the x by itself, which will leave the x alone on one side:
5x = 25
x = 5
Again, we divided on both sides.
And, there you have it!
x = 5
Hope I helped!
-Mary
Answer: 96 pounds
Step-by-step explanation:
Let x be the number of pounds of $6 nut required
.
then you know the weight of the resulting mixture = (x+32)
The total cost of the mixture= 
According to the question,
Hence, Randall must use 96 pounds of $6 nuts.
