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3 years ago

What is the solution to this system of linear equations? X-3y=-2 and x-3y=16

Mathematics

2 answers:

Katen [24]3 years ago

4 0

Answer:

No solution

Step-by-step explanation:

Equations:

x - 3y = -2

x - 3y = 16

Subtract:

0 - 0 = -18

Answer:

No solution

Sindrei [870]3 years ago

3 0

Answer:

NO SOLUTION

Step-by-step explanation:

Two equations of the system of linear equations has been given as x - 3y = -2 and x - 3y = 16

if we see in these equations slopes are same for both.

x - 3y = -2

+3y = +2 +x

y = $\frac{1}{3}$ x + $\frac{2}{3}$

slope m₁ = $\frac{1}{3}$

x - 3y = 16

-3y = 16-x

3y = x - 16

y = $\frac{1}{3}$ x - $\frac{16}{3}$

slope m₂ = $\frac{1}{3}$

so m₁ = m₂ = $\frac{1}{3}$

These lines are parallel to each other.

Since parallel lines don't intersect each other so there is NO SOLUTION for this system of equation.

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Asap plz help maxium points will mark brainliest

jeka57 [31]

Given statement is False, if a light cost $3, it could be either Green or Yellow.

Converse: If the light bulb was Yellow, then the cost was $3 = True

Contrapositive makes both statements negative and switches the order of the original statement.

So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.

Inverse makes both statements negative but keeps the same order.

Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.

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3 years ago

Read 2 more answers

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

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3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

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3 years ago

Read 2 more answers

If 3 times a square of an integer is added to 1 times the integer, the result is 2

jarptica [38.1K]

Let unknown integer be n.

So then your sentence would translate to 3n² + n = 2.

If you need to solve for n then we can move 2 to left side by subtract both sides by 2:

3n² + n - 2 = 0

Now you can factor:

3n² + 3n -2n - 2 = 0

3n( n + 1 ) - 2( n + 1 ) = 0

( 3n - 2 )( n + 1 ) = 0

3n - 2 = 0 OR n + 1 = 0

3n = 2 OR n = -1

n = 2/3 OR n = -1

Final answer: n = 2/3 OR n = -1

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3 years ago

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Andrews [41]

Perpendiculars are any lines that intersect to make or forms a right angle.

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