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kumpel [21]
3 years ago
14

The relation {(4,10), (1,9), (5,10), (1,10)} is a function

Mathematics
2 answers:
masya89 [10]3 years ago
4 0

for functions to work, there can only be one y value per x value aka if you see a set like this:  

{(4,2), (6,5), (10,1), (3,6), (6,7)}  

It is not a function because there are two y values (5 and 7) for one x value (6).

Anna [14]3 years ago
3 0

it is not a function

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Please help :(<br> [math]
sergij07 [2.7K]

Hey!

------------------------------------------------

First Equation:

2x + 3 = -7

2x + 3 - 3 = -7 - 3 (Subtract 7 to both sides)

2x = -10

2x/2 = -10/2 (Divide 2 to both sides)

x = -5

------------------------------------------------

Second Equation:

4.5x - 7 = 20

4.5x + (-7) + 7 = 20 + 7 (Add 7 to both sides)

4.5x = 27

4.5x/4.5 = 27/4.5 (Divide 4.5 to both sides)

x = 6

------------------------------------------------

Third Equation:

-3x + 7 = 28

-3x + 7 - 7 = 28 - 7 (Subtract 7 to both sides)

-3x/-3 = 21/-3 (Divide -3 to both sides)

x = -7

------------------------------------------------

Answers:

2x + 3 = -7 → x = -5

4.5x - 7 = 20 → x = 6

-3x + 7 = 28 → x = -7

------------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
What is the value of k in the equation k/3 - 5 = 34?<br> 11 1/3<br> 13<br> 102<br> 117
mestny [16]

1. Add 5 to both sides

k/3 = 34 + 5

2. Simplify 34 + 5 to 39

k/3 = 39

3. Multiply both side by 3

k = 39 * 3

4. Simplify 39 * 3 to 117

k = 117

6 0
3 years ago
Read 2 more answers
Ratio tables what’s the missing ratio
natka813 [3]

Answer:

16

Step-by-step explanation:

To solve we must first find what the given ratios equal

8/5 = 1.6

40/25 = 1.6

48/30 = 1.6

this means that x/10 = 1.6

To find x... multiply both sides of this equation my 10 to get x alone

x=1.6×10

x=16

8 0
2 years ago
Read 2 more answers
PLEASE HURRY!! WILL GIVE BRAINLIEST
inysia [295]

Trigonometric ratios are useful in calculating the side lengths of a triangle.

  • The length of the zip line is 222.5 ft
  • The height where the ladder rests against the tree is 38.6 ft
  • The distance between the base of the ladder and that of the tree is 10.4 ft
  • The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

<u>(a) Length, z</u>

First we calculate (h) using the following sine ratio

\mathbf{sin(75) = \frac{h}{40}}

Make h the subject

\mathbf{h = 40sin(75)}

Next, we calculate (z) using the following sine ratio

\mathbf{sin(10)= \frac{h}{z}}

Make z the subject

\mathbf{z= \frac{h}{sin(10)}}

Substitute \mathbf{h = 40sin(75)}

\mathbf{z= \frac{40sin(75)}{sin(10)}}

\mathbf{z= 222.5 ft}

Hence, the length of the zip line is 222.5 ft

<u>(b) The height, h</u>

In (a), we have

\mathbf{h = 40sin(75)}

Evaluate

\mathbf{h = 38.6}

Hence, the height where the ladder rests against the tree is 38.6 ft

<u />

<u>(c) The distance, b</u>

To do this, we make use of the following sine ratio

\mathbf{sin(15) = \frac{b}{40}}

Make b the subject

\mathbf{b = 40sin(15)}

\mathbf{b = 10.4}

Hence, the distance between the base of the ladder and that of the tree is 10.4 ft

<u />

<u>(d) Distance, B</u>

To do this, we make use of the following sine ratio

\mathbf{sin(80) = \frac{B}{z}}

Make B the subject

\mathbf{B = z\ sin(80)}

Substitute \mathbf{z= 222.5 ft}

\mathbf{B = 222.5\ sin(80)}

\mathbf{B = 219.1}

Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

<u />

Read more about trigonometry ratios at:

brainly.com/question/24888715

8 0
3 years ago
What percent of 500 is 5
Andre45 [30]
1%

1% = 0.1
500 x .01 = 5
4 0
3 years ago
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