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3 years ago

Explain when a relation is also a function

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

A relation is a function if the x-values map to only one y-value. In other words, if a relation is one-to-one or many-to-one it is a function.

Step-by-step explanation:

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Help pls 11 point Ayuda

aleksandrvk [35]

Well according to the slope intercept equation.

Y = mx +/- b

The slope is the value m
The y intercept is b

To graph the function, one sure way to do it is simply make a table of values picking any x values that fall within the graph space, and finding out the resulting y values and using the points to graph.

For instance for the first graph, if x = 0, y = 5, that is one possible point. Keep on choosing x values to graph.

5 0

3 years ago

What are the X and Y intercepts of the line in the graph?

vovikov84 [41]

Answer:

Y-int: (0,3)

X-int: (4,0)

Equation: y = -3/4x + 3

Step-by-step explanation:

3 0

2 years ago

Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show

Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is $P(x \ge 60)=0.0901$

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

in every 1000 children a particular genetic defect occurs to 1

The number of sample selected is $n= 50,000$

The probability of observing the defect is mathematically evaluated as

$p = \frac{1}{1000}$

$= 0.001$

The probability of not observing the defect is mathematically evaluated as

$q = 1-p$

$= 1-0.001$

$= 0.999$

The mean of this probability is mathematically represented as

$\mu = np$

Substituting values

$\mu = 50000*0.001$

$= 50$

The standard deviation of this probability is mathematically represented as

$\sigma = \sqrt{npq}$

Substituting values

$= \sqrt{50000 * 0.001 * 0.999}$

$= \sqrt{49.95}$

$= 7.07$

the probability of detecting $x \ge60$ defects can be represented in as normal distribution like

$P(x \ge 60)$

in standardizing the normal distribution the normal area used to approximate $P(x \ge 60)$ is the right of 59.5 instead of 60 because x= 60 is part of the observation

The z -score is obtained mathematically as

$z = \frac{x-\mu }{\sigma }$

$= \frac{59.5 - 50 }{7.07}$

$=1.34$

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

The total area under the curve is 1

$P(x \ge 60) \approx P(z > 1.34)$

$= 1-P(z \le 1.34)$

$=1-0.9099$

$=0.0901$

3 0

2 years ago

What is the value of x?<br><br> x= ____ units

Vera_Pavlovna [14]

∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144

∴ x = √144 = 12

3 0

3 years ago

Read 2 more answers

Based on one of the Triangle Congruence Postulates, the two triangles are shown are congruent

tankabanditka [31]

Answer:

true

Step-by-step explanation:

all the sides match up. One side (the base) is shared which means they are the same length. The triangle at the top has a single hash on a side and so does the bottom one. This means they are the same length. The same thing occurs with the last remaining sides, they are congruent because they both have two hash lines. Since all three sides of both triangle add up, the triangles ARE CONGRUENT.

3 0

2 years ago