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matrenka [14]
3 years ago
8

You observe the heights of two plants for an experiment. Plant A has a height of 8 centimeters and grows 1 centimeter each week.

Plant B has
a height of 4 centimeters and grows 2 centimeters each week. Let x represent the number of weeks and let y represent the height of the
plant
a. Write a system of linear equations that represents this situation
System of equations:
b. Will the plants ever have the same height?
Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

69

Step-by-step explanation:

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The equinoxGroup of answer choicesis when the subsolar point is at one of the tropics.is the longest day of the year at any give
Maurinko [17]

Answer:

c. has 12 hours of day and 12 hours of night for all locations

Step-by-step explanation:

The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.

The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.

3 0
3 years ago
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th
Misha Larkins [42]

Answer:

a.P(E_1/A)=0.0789

b.P(E_2/A)=0.395\

c.P(E_3/A)=0.526

Step-by-step explanation:

Let E_1,E_2,E_3 are the events that denotes the good drive, medium drive and poor risk driver.

P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20

Let A be the event that denotes an accident.

P(A/E_1)=0.01

P(A/E_2=0.03

P(A/E_3)=0.10

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}

We have to find P(E_1/A)

Using the Bayes theorem

P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}

Substitute the values then we get

P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}

P(E_1/A)=0.0789

b.We have to find the probability Mr.Brophy is a medium driver

P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395

c.We have to find the probability Mr.Brophy is a poor driver

P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526

7 0
3 years ago
Find y so that (-2, y) is a solution to 3x + 5y=8​
podryga [215]

Answer:

y = \frac{14}{5}

Step-by-step explanation:

Substitute x = - 2 into the equation and solve for y

3(- 2) + 5y = 8, that is

- 6 + 5y = 8 ( add 6 to both sides )

5y = 14 ( divide both sides by 5 )

y = \frac{14}{5}

5 0
3 years ago
Factor 6y 2 - 48 + 42y.<br><br> (6y + 8)(y - 6)<br> 6(y + 8)(y - 1)<br> 6(y - 1)(y - 7)
astraxan [27]

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

Factor the following:

6 y^2 + 42 y - 48

Factor 6 out of 6 y^2 + 42 y - 48:

6 (y^2 + 7 y - 8)

The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):

Answer: 6 (y + 8) (y - 1)

PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48  NOT

6y 2 - 48 + 42y

3 0
3 years ago
Read 2 more answers
If a line has a slope of -4 and a u intercept of 1, which of the following is it's graph?
3241004551 [841]
Well. I can't see the picture. But it would be decreasing at a rate of 4 so pick a point on the any line move over to the right one, then down four. And for the y intercept the line would intersect the y axis at positive one. Sorry if that's confusing
3 0
3 years ago
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