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3 years ago

Work out m and c for the line:2y+3x=5

Mathematics

2 answers:

Gekata [30.6K]3 years ago

5 0

Step-by-step explanation:

General line equation: y = mx + c.

2y + 3x = 5

2y = -3x + 5

y = -1.5x + 2.5

Hence m = -1.5 and c = 2.5.

meriva3 years ago

3 0

$\tt m=-\dfrac{3}{2}\\\\c=\dfrac{5}{2}$

<h3>Further explanation</h3>

Given

The line equation

2y+3x=5

Required

m(gradient) and c(constant)

Solution

The two-variable linear equation is a linear equation that has 2 variables and the exponent is one

ax+by=c

We change the equation in standard form : y = mx + c

$\tt 2y=-3x+5\\\\y=-\dfrac{3}{2}x+\dfrac{5}{2}$

Gradient :

$\tt -\dfrac{3}{2}$

Constant :

$\tt \dfrac{5}{2}$

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Find a formula for the nth term in this

stepan [7]

The formula of nth term is = 10 - 3n

What is AP?

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
If the AP contains m phrases, then denotes the final term, which is given by:
The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Acc to our question-

For the nth term in an algebraic series
U(n) = a + (n - 1)d
the number of terms is n.
The first term is a.
d is the typical difference
From the preceding sequence
a = 7
d = 4 - 7 = - 3
The nth term's formula is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The ultimate solution is
= 10 - 3n

Hence,The formula of nth term is = 10 - 3n

learn more about AP click here:

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3 0

1 year ago

WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.

tigry1 [53]

Answer:

SUM OF ALL ANGLES OF A TRIANGLE =180

THEREFORE,

X+8+2X-3+6X-5=180

9X=180

X=20.

THEREFORE,<J=X+8=20+8=28

<K=6X-5=6*20-5=120-5=115

<L=2X-3=2*20-3=40-3=37.

6 0

3 years ago

A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

4 0

3 years ago

Answer it and I'll give brainliest and 5 stars

sergiy2304 [10]

Answer:

1 over x 2

Step-by-step explanation:

kdbxciu ejgkvbsdv evdjhcxv

7 0

3 years ago

What is the equation of the line that passes through the point (8,-2) and has an undefined slope?

Aleksandr-060686 [28]

Answer:

x = 8

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

The line passes through (8, - 2) with x- coordinate 8 , thus

x = 8 ← equation of line

3 0

3 years ago