Answer:hope this helps
Step-by-step explanation:
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:
a) 11
c) 18
d) -25
Step-by-step explanation:
a)
Substitute: 3|-2| + 5|-1|
Absolute value is positive: 3(2)+5(1)
Simplify: 6+5
Simplify: 11
c)
Substitute: 4|-2| +8-(-2)
Absolute value is positive: 4(2)+8-(-2)
Simplify: 8+8+2
Simplify: 18
d)
Substitute: -3|-5|+2(-5)
Absolute value is positive: -3(5)+2(-5)
Simplify: -15-10
Simplify: -25
Answer:
42
Step-by-step explanation:
-------- Edited to include more explanation --------------
1.34 = 1 whole 34 hundredth
Then we simplified it by dividing the numerator and the denominator by 2:
34 divided by 2 will give us 17 and 100 divided by 2 will give us 50: