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Savatey [412]
3 years ago
15

Point (a,a) lies on the graph of the equation 3y = 2x -4 find the value of a

Mathematics
1 answer:
Igoryamba3 years ago
5 0
Substituting (x, y) with (a, a), since we have:

3a=2a-4, which means that 3a-2a=-4, that is a=-4.

So, the point is (-4, -4).


Remark: a point which lies in the graph of an equation is a solution of that equation. So x=a, y=a satisfies the equation <span> 3y = 2x -4, which makes our substitution legitimate.


Answer: </span>(-4, -4).
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Write each improper fraction as a mixed number: 93/12
yuradex [85]

Answer:

The answer would be 7 3/4

Step-by-step explanation:

4 0
3 years ago
The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

7 0
3 years ago
Read 2 more answers
Which shows the expressions rewritten with the least common denominator?
baherus [9]

Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

  \left\{\dfrac{7x-2}{4x^2},\ \dfrac{x-1}{8x}\right\}=\left\{\dfrac{7x-2}{4x^2}\cdot\dfrac{2}{2},\ \dfrac{x-1}{8x}\cdot\dfrac{x}{x}\right\}\\\\=\left\{\dfrac{14x-4}{8x^2},\ \dfrac{x^2-x}{8x^2}\right\}

7 0
2 years ago
Help me please this is late
Fudgin [204]

To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

8 0
3 years ago
According to the rule of 72, t=72/r which statement is true?
nika2105 [10]
72/rate=time
72/9=8 years
So the answer is c
5 0
3 years ago
Read 2 more answers
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