Which is more 4/5 or 0.71? Because decimals are usually easier to read, convert the 4/5 to a decimal. To do this, divide the numerator by the denominator. 4 / 5 = 0.8.
0.8 is bigger than 0.71. So, 4/5 is definitely bigger than 0.71.
But what about 1.2 and 1 2/9? Again convert 1 2/9 to a decimal.
2/9 = 1.222...
And 1.222 repeating is bigger than 1.2
25a. You are given a formula for height and told that the value of "r" in the formula is 19.6. You are asked to find the value of t such that h = 14.7. Substitute the given values and solve for t the way you solve any quadratic equation.
14.7 = 19.6t -4.9t²
4.9t² -19.6t +14.7 = 0 . . . . . put the equation in standard form
4.9(t² -4t +3) = 0 . . . . . . . . . factor out 4.9 to simplify the numbers
(t -1)(t -3) = 0 . . . . . . . . . . .. divide by 4.9 and factor
The solutions to this are ...
t = 1, t = 3
After
1 second, the ball will reach the height of 14.7 meters.
25b. This question asks you to find the value of t that make h = 0.
0 = 19.6t -4.9t² . . . . . . substitute the given numbers
0 = 4.9t(4 -t) . . . . . . . . factor
The solutions to this are ...
t = 0, t = 4
The ball will hit the ground after
4 seconds.
_____
As you can see from the graph below, a graphing calculator can be helpful for solving problems of this sort.
Answer: x=(z-a)/b
Step-by-step explanation:
First subtract a from both sides to begin isolating x on its side of the equation. This gives you bx=z-a. Next, divide b from both sides to finish isolating x. This gives you x=(z-a)/b
Answer: x=3/4 x=-4
Step-by-step explanation:
(4x-3)(x+4)=0
4x-3=0
4x-3+3=0+3
4x=3
Divide both parts of the equation by 4:
x+4=0
x+4-4=0-4
x=-4
Answer:
( -1 , 0.5)
Step-by-step explanation: