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3 years ago

Identify whether the relations given in the options are functions or not.

Mathematics

1 answer:

stellarik [79]3 years ago

6 0

Answer:

Graphs 1, 2, and 3 are not functions. Graph 4 is a function.

Step-by-step explanation:

Use the vertical line test.

Imagine a vertical line moving from left to right.

If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.

In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.

In graphs 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.

The only function is graph 4.

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Brainliest reward if you get this right plus 20 points

SOVA2 [1]

Answer:

The equation of the relation ⇒ $y=\frac{6x}{z}$

y = 18

Step-by-step explanation:

∵ y ∝ x/z

∴ y = kx/z

∵ y = 18 , x = 15 and z = 5

∴ 18 = 15k/5 ⇒ 18 = 3k

∴ k = 18/3 = 6

∴ y = 6x/z

∵ x = 21 and z = 7

∴ y = (6 × 21)/7 = 18

3 0

3 years ago

Find each percent of change. Round yo the nearest whole percent if necessary. <br><br> 55 to 35

Reptile [31]

So subtract 55 from 35

35 - 55 = -20

then, put -20 over 55

-20/55 equals -0.36 repeating, rounded to -0.36, which equals 36%

the negative stands for decrease, so it's around 36% decrease

8 0

3 years ago

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ

castortr0y [4]

We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as

(4/5)/(s+4) + (1/5)/(s-1)

which can be found in a table of transforms to be the transform of

(4/5)e^(-4t) + (1/5)e^t

_____

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)

After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:

A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)

This gives rise to two equations:

(A+B) = 1

(4B-A) = 0

4 0

3 years ago

Determine the intercepts of the line.

gayaneshka [121]

Answer:

x-intercept: (18/5,0)

y-intercept: (0,-2)

Step-by-step explanation:

btw .. you put the equation twice it's supposed to be " -5x+9y=-18 "

5 0

3 years ago

A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpire

const2013 [10]

Answer:

The answer is "1.30".

Step-by-step explanation:

Proportion of population $=0.20$

Ratio sample $=\frac{70}{300}=\frac{7}{30}=0.23$

Statistics of the test:

$\to Z=\frac{(0.23-0.2)}{\sqrt{(\frac{0.2\times(1-0.2)}{300})}}\\\\$

$=1.30$

6 0

3 years ago