Answer:
A. 0.15
B. 0.45
C. 85
Step-by-step explanation:
Given that:
Equation to represent the relation between distance, 
in miles and time 
in seconds:
<em>A. </em>
To find: The speed of airplane in miles per second.
Formula for speed is given as:
Here, we will have to find the value of 
.
Dividing the given equation by , we get:
is in miles and is in seconds.
Therefore, the answer is <em>0.15</em>.
<em>B.</em>
Distance traveled in 30 seconds.
Given that: = 30 seconds
To find: 
in miles
<em>C.</em>
The time taken to travel a distance of 12.75 miles.
Given that : 
To find: 
seconds
Answer:
After 4 seconds, the ball is at 229 ft
Step-by-step explanation:
Here, we want to get the height of the ball at 4 seconds
What we have to do here is to substitute the value of t for 4 seconds in the equation
We have;
h = -16(4^2) + 121(4) + 1
h = -256 + 484 + 1
h = 229 ft
9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Answer:
y = -6
Step-by-step explanation:
-28 = 4y - 4
4y - 4 = -28
4y - 4 (+ 4) = -28 (+ 4)
4y - 4 + 4 = -28 + 4
4y = -24
4y/4 = -24/4
y = -6
Answer:
x = 2
Step-by-step explanation:
-5(4x - 2) = -2(3 + 6x)
-20x + 10 = -6 - 12x Distribute -5 to 4x and -2 and distribute -2 to 3 and
6x
10 = -6 + 8x Add 20x to both sides
16 = 8x Add 6 to both sides
2 = x Divide 8 to both sides
