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2 years ago

Identify the y intercept of the function 2x +6y=12

Mathematics

2 answers:

Archy [21]2 years ago

4 0

2x +6y=12
ToIdentify the y intercept, we have x=0 and that means y=2
So we could say the y-intercept of that function is 2
Have fun

jolli1 [7]2 years ago

3 0

Here's a graph. Remember that the y intercept crosses the y axis.

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A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma

White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0

2 years ago

Read 2 more answers

Use a graphing utility to approximate (to two decimal places) any relative

iogann1982 [59]

Answer:

Relative minima at $(-\frac{7}{2} , -\frac{49}{4} )$ , and relative maxima DNE.

Step-by-step explanation:

The given function is f(x) = x (x + 7) ...... (1)

We have to calculate the relative maxima and relative minima at point (x, y).

Rearranging the function given above we get.

$y= x^{2} +7x = (x + \frac{7}{2} )^{2} -\frac{49}{4}$

⇒ $y+ \frac{49}{4} = (x + \frac{7}{2} )^{2}$

Now, this is an equation of parabola having vertex at $(-\frac{7}{2} , -\frac{49}{4} )$ and the axis is parallel to positive Y-axis.

Therefore, the function(1) has a relative minima at $(-\frac{7}{2} , -\frac{49}{4} )$ , and the relative maxima DNE. (Answer)

3 0

2 years ago

Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decr

AleksandrR [38]

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : $N(t)=N_0(1-r)^t$

Where N(t)= Population after t years

$N_0$ = Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So, $N(8)=40500(1-0.021)^8$

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now

7 0

2 years ago

Please help!! this test will bring my grade up

Nutka1998 [239]

I believe it’s C not sure

8 0

2 years ago

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Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines

Sedaia [141]

Answer: b

Step-by-step explanation:

NOTE:

Hypothesis: "if" part of the sentence
Conclusion: "then" part of the sentence

hypothesis : If two lines intersect at right angles

conclusion: then the two lines are perpendicular

6 0

2 years ago