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Serggg [28]
3 years ago
13

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer:

(\frac{2}{3} , \frac{1}{5})

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

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How do you write an equation of a line given y-intercept -8 and slope 3/4
Lostsunrise [7]

Answer:

y = \frac{3}{4} x-8

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

4 0
2 years ago
Read 2 more answers
5 more than b divided by 2 is 5
gayaneshka [121]
We have an equation: (5+b)/2= 5
⇒ 5+b= 5*2
⇒ 5+b= 10
⇒ b= 10-5
⇒ b= 5

Final answer: b=5~
3 0
3 years ago
Logariths, please help​
Valentin [98]

Answer:

<em>{ - 2 , 8 } </em>

Step-by-step explanation:

log_{4} ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ x_{1} = - 2 , x_{2} = 8

<em>{ - 2 , 8 }</em>

3 0
2 years ago
The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a
saul85 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that x \sim U(90, 120)

 In point a:

so, pdf of x =

\to f(x)= \frac{1}{120-90}  = \frac{1}{30} \\\\\to 90 < x

In point b:

To find

\to P(x

In point c:

\to P(x

In point d:

\to P(95< x< 110)

= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}

6 0
2 years ago
Parallelogram or not ?
Zielflug [23.3K]

Answer:

I think so

Step-by-step explanation:

here's here's the definition of a parallelogram

"a four-sided plane rectilinear figure with opposite sides parallel."

3 0
3 years ago
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