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2 years ago

How many solutions are there to the equation below?

Mathematics

2 answers:

mezya [45]2 years ago

7 0

It’s 0. Hope it’s works.

Vikentia [17]2 years ago

4 0

Answer:

$5x + 48 + 7x = 12(x + 4) \\ 5x + 48 + 7x = 12x + 48 \\ (5x + 7x) + 48 = 12x + 48 \\ 12x + 48 = 12x + 48 \\ 12x - 12x = 48 - 48 \\ 0 = 0$

There is no solution

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What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

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Answer:

Step-by-step explanation:

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A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New

Afina-wow [57]

Answer:

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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29. March sales accounted for 1/7 of the total number of jazz records sold all year. About how many jazz records were sold all y

enot [183]

The March sales of Jazz records is an illustration of proportions, and the number of jazz records sold all year is 7x

<h3>How to determine the total number of sales?</h3>

The sales in March is given as:

Proportion = 1/7

Let the actual number of sales in the month of March be x, and the total sales in the year be y.

So, we have:

1/7 * y = x

Make y the subject

y =7x

Hence, the number of jazz records sold all year is 7x