Answer:
600 mph
Step-by-step explanation:
Given that,
Distance covered by ball, d = 5 miles
Time taken, t = 30 seconds
1 second = (1/3600) hour
Speed = distance/time
So, the speed of the ball is 600 mph.
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2 answers:
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The set A satisfying the given inequality is A = (-, -10].
Following are some facts which are true for an inequality relation:
- Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
- The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.
Since y ∈ B, -2 ≤ y ≤ 7. So,
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, ) i.e.
10 ≤ -x ≤ .
Multiplying -1 throughout gives
-10 ≥ x ≥ -.
x, thus, lies in the range A = (-, -10}.
Learn more about the inequality here.
Disclaimer: The question was incomplete. Please find the full content below.
<h3>Question </h3>Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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Answer:
Step-by-step explanation:
Given
Required
Determine f(-1); f(0) and f(2)
Solving f(-1)
In this case, we simply take x as;
Substitute -1 for x in
Apply law of indices
Solving f(0)
In this case, we simply take x as;
Substitute 0 for x in
Solving f(2)
In this case, we simply take x as;
Substitute 2 for x in