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3 years ago

Drag each graph to the correct location on the table.

Mathematics

2 answers:

Llana [10]3 years ago

5 0

Answer

Explanation:

The relations of the two graphs on the left are not functions; the relations of the two graphs of the right are functions.

A relation is a function if and only if any input in the domain (x-value) has only one output (y-value).

On the upper left graph, x = 2 has three different images, and x = 3 has two different images. Thus this is not a function.

On the lower left graph, x = 2 has two different images, such as x = 1 and x = -1. Thus this is not a function.

The two graphs on the right are functions because none x-value has two different images.

Step-by-step explanation:

Nata [24]3 years ago

4 0

Answer:

See the graph attached.

Explanation:

The relations of the two graphs on the left are not functions; the relations of the two graphs of the right are functions.

A relation is a function if and only if any input in the domain (x-value) has only one output (y-value).

On the upper left graph, x = 2 has three different images, and x = 3 has two different images. Thus this is not a function.

On the lower left graph, x = 2 has two different images, such as x = 1 and x = -1. Thus this is not a function.

The two graphs on the right are functions because none x-value has two different images.

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marusya05 [52]

Answer:

Question 1: g = 6

Question 2: v = 84

Question 3: y = 60

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Question 5: Kyle had $400 to begin with.

Step-by-step explanation:

Question 1 explanation: 12g = 72 ⇒ g = $\frac{72}{12}$ = 6

Question 2 explanation: $\frac{v}{4}$ = 21 ⇒ v = 21 * 4 = 84

Question 3 explanation: $\frac{1}{6}$ y = 10 ⇒ 6 * $\frac{1}{6}$ y = 10 * 6 ⇒ y = 60

Question 4 explanation: w + 376 = 872 ⇒ w = 872 - 376 = 496

Question 5 explanation: K - 85 = 315 ⇒ K = 315 + 85 = 400, so Kyle had $400 originally in his account.

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3 years ago

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Taya2010 [7]

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3 years ago

What is the first term in a geometric sequence if the common ratio is −3 and the sum of the first six terms is 1,274?Hint: cap s

Ber [7]

Answer is -7

=============================================

Work Shown:

s_n = a_1*(1-r^n)/(1-r)

s_6 = a_1*(1-r^6)/(1-r)

s_6 = x*(1-(-3)^6)/(1-(-3))

s_6 = x*(1-729)/(1+3)

s_6 = x*(-728)/4

s_6 = x*(-182)

s_6 = -182x

-182x = s_6

-182x = 1274

x = 1274/(-182)

x = -7 is the first term of the geometric sequence

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

Extra info:

The first six terms of this geometric sequence is

-7, 21, -63, 189, -567, 1701

those six terms add to

-7+21+(-63)+189+(-567)+1701 = 1274

which verifies we have the right answer.

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Answer:

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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