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Ray Of Light [21]
3 years ago
6

State the range of the relation

Mathematics
1 answer:
Finger [1]3 years ago
3 0

The range of the given relation is D. R = {-1, 3, 5, 8}.

Step-by-step explanation:

Step 1:

The range of a relation is the second set of values while the domain constitutes the first set of values.

There are 4 given relations with two sets of values so there would be 4 domain values and 4 range values.

Step 2:

The range of (1, -1) = -1,

The range of (2, 3) = 3,

The range of (3, 5) = 5,

The range of (4, 8) = 8.

Combining these values we get the range as {-1, 3, 5, 8} which is option D.

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Step-by-step explanation:

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3 years ago
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Please help :).......
deff fn [24]

Option B:

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Solution:

Given expression: |a| \leq 5

To find the equivalent expression for the given expression.

Apply absolute value rule:

<em>If |x| ≤ m  then -m ≤ x ≤ m.</em>

|a| \leq 5

⇒ -5 ≤ a ≤ 5

⇒ -5 ≤ a and a ≤ 5

Switch the sides, we get

⇒ a ≥ -5 and a ≤ 5

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Option B is the correct answer.

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3 years ago
A vertical radio tower is 645 feet high above level ground. How far would you need to be from the base of the tower so that the
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Answer:

921.165 feet

Step-by-step explanation:

Ok we are looking for the length of the base.

Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.

The height= 645 feet

Angle of elevation= 35°

Base is unknown

To find the base

We recall that tan of angle

= opposite/adjacent

In this case

Angle= 35°

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Adjacent= base

Tan 35 = 645/adj

Adj =645/tan 35

Adj =645/0.7002

Adj = 921.165

The base is 921.165 feet

8 0
3 years ago
If you pay $0.82 for every $1,000 of earthquake coverage, how much would $15,000 of coverage be?
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2 years ago
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The tempature was very cold,tgen it doubled,then it dropped 10 degrees,and then it increased by 40 degrees.The tempature is now
ycow [4]

Answer

The initial temperature was T = -7 degrees

Step-by-step explanation:

Let the initial temperature be T.

- The tempature was very cold

Temperarure = T

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Temperature = 2T - 10

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Temperature = 2T - 10 + 40 = 2T + 30

The tempature is now 16 degrees

Temperature = 16 degrees

2T + 30 = 16

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T = -7 degrees

Hope this Helps!!!

4 0
3 years ago
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