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masya89 [10]
3 years ago
12

What is the y-intercept of the graph of the following data? a (-1, 0) b (0, 3) c (0, -3) d (1, 6).

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

b

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses.

On the y- axis the x- coordinate is always zero.

From the table when x = 0 , y = 3, thus

(0, 3 ) is the y- intercept → b

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Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only
Xelga [282]

The distance from his home to his work place is 118.125 miles

<h3>How to find the distance from his home to his work place?</h3>

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

learn more on distance here: brainly.com/question/21329221

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3 0
2 years ago
The equation of the line CD is (y-3)=-2(x-4). what is the scope of the line perpendicular to line CD
Delicious77 [7]

Answer:

y=-1/2x-5

Step-by-step explanation:

First we need to put (y-3)=2(x-4) in slope intercept form.

we need to do order of operations....

so we need to first do the parenthesis

x*2= 2x

2*-4= -8

y-3=2x-8

add 3 on both sides to isolate y

y= 2x-5

so now we know the y=mx+b form

this is one line...

now we need to find out what line is perpendicular.

Perpendicular lines have opposite reciprocals slopes.

y=-1/2x-5

8 0
2 years ago
In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the
andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0
3 years ago
The LCD of theses fractions? <br> y/x + y/3+ y+1/y<br><br> Answers:<br> 3x+y<br> x+3+y<br> 3x+y
Dahasolnce [82]
3xy 

<span>y(3y)/3xy + y(xy)/3xy + (y+1)(3x)/3xy </span>

<span>NOW since all of the fractions have a denominator of 3xy, drop the denominators and solve using the numerators. </span>

<span>y(3y) + y(xy) + (y+1)(3x) </span>

<span>3y^2 + xy^2 + 3xy +3x </span>

<span>cannot simplify further.</span>
5 0
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what's wrong? In an American Optometric Association survey 1009 adults were randomly selected and asked to identify what they wo
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The problem with the question is that 51% of 1009 adults could not have said that their biggest fear was losing vision. The issue with 51% of 1009 is that you wont be left with a whole number, but a decimal instead. You cant have a decimal of a person. 
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3 years ago
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