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3 years ago

Help!!! ---- The graph of a function is a line that passes through the points (1,4), (3,8), and (6,y). What is the value of y?

Mathematics

1 answer:

natima [27]3 years ago

5 0

Answer:

y = 14

Step-by-step explanation:

First find the slope of the line. To find the slope of the line, use the slope formula:

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{8-4}{3-1} =\frac{4}{2}=2$

The slope of the line is 2.

Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.

$2 = \frac{y-4}{6-1} \\\\ 2=\frac{y-4}{5}\\\\ 10=y-4\\\\14b= y$

So y = 14.

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Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

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3 years ago

Which set of characteristics produces one unique triangle

Lapatulllka [165]

Answer:

The first one because all characteristics mentioned in other options makes an scalene triangle but the first option makes isosceles triangle.

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3 years ago

Please help me with this!!!

Neko [114]

Answer:

im not sure but i think its 151200

Step-by-step explanation:

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3 years ago

A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are

Marrrta [24]

Answer:

a) There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.

b) There is a 8.65% probability that all three of the bulbs have the same rating.

c) There is a 12.45% probability that one bulb of each type is selected.

Step-by-step explanation:

There are 24 compact fluorescent lightbulbs in the box, of which:

8 are rated 13-watt

9 are rated 18-watt

7 are rated 23-watt

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

There are 7 rated 23-watt among 23. There are no replacements(so the denominators in the multiplication decrease). Then can be chosen in different orders, so we have to permutate.

It is a permutation of 3(bulbs selected) with 2(23-watt) and 1(13 or 18 watt) repetitions. So

$P = p^{3}_{2,1}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = \frac{3!}{2!1!}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 3*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 0.1764$

There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.

(b) What is the probability that all three of the bulbs have the same rating?

$P = P_{1} + P_{2} + P_{3}$

$P_{1}$ is the probability that all three of them are 13-watt. So:

$P_{1} = \frac{8}{24}*\frac{7}{23}*\frac{6}{22} = 0.0277$

$P_{2}$ is the probability that all three of them are 18-watt. So:

$P_{2} = \frac{9}{24}*\frac{8}{23}*\frac{7}{22} = 0.0415$

$P_{3}$ is the probability that all three of them are 23-watt. So:

$P_{3} = \frac{7}{24}*\frac{6}{23}*\frac{5}{22} = 0.0173$

$P = P_{1} + P_{2} + P_{3} = 0.0277 + 0.0415 + 0.0173 = 0.0865$

There is a 8.65% probability that all three of the bulbs have the same rating.

(c) What is the probability that one bulb of each type is selected?

We have to permutate, permutation of 3(bulbs), with (1,1,1) repetitions(one for each type). So

$P = p^{3}_{1,1,1}*\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 3**\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 0.1245$

There is a 12.45% probability that one bulb of each type is selected.

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3 years ago

A 40-inch TV costs $320 at the

miskamm [114]

First you need to get the tax information, which commonly is based to the total cost, not the total cost with the 20% off.
To get that 6% tax you need to calculate de percentage. Which you can do by using the 3 rule *im attaching a picture below*. With the 3 rule you need to cross multiply the 6% with the 320 dlls and then divide it by 100%. This is to get the equivalents of the 100% with the 6%.
With this we calculated that the tax would be equal to 19.2 dlls.
Then, we need to calculate the 20% off. Again, using the percentage. A 100% is 1 whole, while 20% would be .2 compared to the 1. So we multiply the 320 dlls (which is the whole= 1), by the .2 (which would be equal to 20%). 320dllsx .2= 64 dlls.
Having the total of the 20% off, we need to Substract that with the total.
20% off= 64 dlls
100%= 320
320-64= 256dlls (aka 80%)
finally we need to add the tax
6% tax= 19.2 dlls
40 inch tv with the 20% off= 256 dlls
256 dlls + 19.2 dlls= the total cost with tax
which would end up being 275.2 dlls

5 0

3 years ago

Read 2 more answers