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Brrunno [24]
3 years ago
15

Write the equation of the line that is perpendicular to the graph of 2x+y =5, and y-intercept is 4.

Mathematics
1 answer:
Sophie [7]3 years ago
7 0
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Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential.
elixir [45]

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

5 0
2 years ago
Lesson Posttest
stepladder [879]

Answer:

1

Step-by-step explanation:

Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.

The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.

The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19

The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19

The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is

P(apple or peach or orange) =  P(apple) + P(peach) + P(orange)

                                               = 5/19 + 9/19 + 5/19

                                               = (5 + 9 + 5)/19

                                               = 19/19

                                               = 1

3 0
3 years ago
Solve x^2 + 4x + 8 = 0
Mkey [24]

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

8 0
3 years ago
If a train travels for 4.5 hours at a rate of 40 mph, what is the distance the train will travel?
Nuetrik [128]
The answer is 180.add 40 to its self or multiply by 4 then add 20 for the .5 portion, 40x4=160 160+20=180.

 hoped this helped =)

4 0
3 years ago
Which sequence represents an arithmetic sequence?
Sergio039 [100]

we know that

arithematic sequence will always have common difference

(a)

−5, −7, −10, −14, −19, …

we can see that

d_1=-7+5=-2

d_2=-10+7=-3

they are not equal

so, this is not arithematic sequence

(2)

1.5, −1.5, 1.5, −1.5, …

we can see that

d_1=-1.5-1.5=-3

d_2=1.5+1.5=3

they are not equal

so, this is not arithematic sequence

(3)

4.1, 5.1, 6.2, 7.2, …

we can see that

d_1=5.1-4.1=1

d_2=6.2+5.1=1.1

they are not equal

so, this is not arithematic sequence

(4)

−1.5, −1, −0.5, 0, …

we can see that

d_1=-1+1.5=0.5

d_2=-0.5+1=0.5

they are equal

so, this is arithematic sequence

8 0
3 years ago
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