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OLEGan [10]
3 years ago
12

Plot the x- and y-intercepts to graph the equation y=-x-5

Mathematics
2 answers:
Rainbow [258]3 years ago
6 0
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)

The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)

djverab [1.8K]3 years ago
6 0

Answer:

We have been given: y=-x-5

We need to plot x-intercept and y-intercept

For, x-intercept we put y=0 we get:

0=-x-5

x=-5

So, x-intercept is: (-5,0).

For, y-intercept we put x=0 we get:

y=0-5

y=-5

So, y-intercept is: (0,-5).

We need to plot x and y intercepts.

Please look at the attachment for the plot of intercepts.

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3 0
3 years ago
A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple
tester [92]

Answer:  The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation:  We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

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Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.

Therefore, the probability of event A is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

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