Answer:
Step-by-step explanation:
<u>Given function</u>
- d(t) = -16t² -6t +480
- Find t, when d = 424
<u>Solution</u>
- -16t² -6t +480 = 424
- -16t² -6t +480 - 424 = 0
- -16t² -6t + 56 = 0
- 8t² +3 t - 28= 0
- t = (- 3± √3² -4*8*(-28))/16
- t = (-3±√905)/16
- t = 1.693 seconds (positive solution)
Answer:
x = 10
Step-by-step explanation:
Sum of all the angle of triangle = 180
71 + 50 + 6x - 1 = 180
71 + 50 -1 + 6x = 180
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 60/6
x = 10
The solution interval for x is x ∈ (-1/4 , ∞)
An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.
Here, we are given two inequalities
x/4 > -1 and -4x - 4 < -3
Let us take the first equation
x/4 > -1
⇒ x > 4(-1)
x > -4
Now, the second equation
-4x - 4 < -3
-4x < -3 + 4
-4x < 1
Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,
x > 1/-4
x > -1/4
Thus, we get x > -4 and x > -1/4
This means that all values of x greater than -1/4 will satisfy.
Thus, x ∈ (-1/4 , ∞)
Learn more about inequalities here-
brainly.com/question/25275758
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Answer: 3 3/4 yards. I think.
Step-by-step explanation: 10 1/2=10 2/4 2 1/2=2 2/4
10 2/4 - 2 2/4= 8. 8= 7 4/4. 7 4/4 - 4 1/4= 3 3/4.