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3 years ago

Can a system of linear equation have exactly 2 solutions ? why or why not?

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

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A school has two pathways through the math program. At this school, 3/4 of students follow the first path, and the rest take t

VashaNatasha [74]

Answer:

3/5 of students who take the first path and pass

Step-by-step explanation:

* Lets explain how to solve the problem

- There are two pathways through the math program

- At this school 3/4 of students follow the first path

- The rest take the second path

- During one semester, 80% of the students who follow the first path

pass the program

- 20% of the students who follow the second path pass it

- We want to know the fraction of students who take the first path

and pass

* Lets solve the problem

∵ 3/4 of students follow the first path

∵ The rest take the second path

∴ The fraction of the rest = 1 - 3/4 = 1/4

∴ 1/4 of the students follow the second path

∵ 80% of the students who follow the first path pass the program

∵ 80% = 80/100 = 8/10 = 4/5

∵ 4/5 of the students who follow the first path pass the program

∵ 3/4 of students follow the first path

∴ 4/5 of 3/4 of the students of the first path pass

∵ 4/5 of 3/4 = 3/5

∴ 3/5 of students who take the first path and pass

3 0

3 years ago

Rewrite the exponent as a fraction with postive a positive exponent. (-2)^-3

Stella [2.4K]

Answer:

Step-by-step explanation:

The sign minus indicates that the power is located on the denominator

$\frac{1}{2^{3} }$

4 0

3 years ago

Dirk opened up a savings account with $600. At a yearly interest rate of 5 percent that is compounded monthly, how much interest

gladu [14]

Answer:

Hence final answer is $15.17

Step-by-step explanation:

Given that Dirk opened up a savings account with $600.

So P=$600

"At a yearly interest rate of 5 percent"

Means r=5% = 0.05

"compounded monthly" means n=12

i= monthly rate of interest = r/n=0.05/12

"how much interest will Dirk earn in six months." means find Interest when time is 6 months

Plug these values into compound interest formula:

$A=P\left(1+i\right)^t$

$A=600\left(1+\frac{0.05}{12}\right)^6$

$A=600\left(1+0.00417\right)^6$

$A=600\left(1.00417\right)^6$

$A=600\left(1.02528228828\right)$

A=615.169372966

which is approx

A=615.17

Now interest earned will be difference of A and P

Interest =A-P=615.17-600=$15.17

Hence final answer is $15.17

6 0

3 years ago

2. There were 600 sheep and goats in the hills. If the ratio of sheep to

LUCKY_DIMON [66]

I'm gonna ignore the part where you said "at is morcent of the base instruments in the hand learline the"...

So there are 600 sheep and goats in the hills, and we know the ratio of sheep to goats is 1 to 2.

This means that the number of goats are twice the amount of sheep.

Therefore the only values that work are:

200 : 400.

So there are 200 sheep.

Check:

200 + 400 = 600

5 0

3 years ago

Find an equation of the line, in point-slope form, that passes through (-2,3) with a slope of -4

Nostrana [21]

Step-by-step explanation:

let the eqn be y - y1 = m (x - x1)

sub (-2, 3) and m = -4:

y - (-2) = -4 (x - (-2))

y + 2 = -4 (x + 2)

Topic: Coordinate Geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

5 0

3 years ago

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