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lana66690 [7]
2 years ago
8

3x−5(x−6)=2(10−x) What does x equal?

Mathematics
2 answers:
quester [9]2 years ago
3 0

Answer:

Step-by-step explanation:

Colt1911 [192]2 years ago
3 0
First you would have to distribute -5 through the first set of parentheses which would make the equation 3x-5x+30=2(10-x). Then you would have to distribute 2 through the second pair of parentheses which makes the equation 3x-5x+30=20-2x. You would then have to collect like terms which gets the equation to -2x+30=20-2x. You then cancel equal terms which makes the solution 30=20 so the statement is false.
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Is a repeating decimal a rational number?
seropon [69]
Yes , yes it is. it can be represented as a ratio of two integers
6 0
3 years ago
Is y=x+9 linear or is it not linear
avanturin [10]

Answer: It is linear. When a line is linear it just means it makes a straight line when you graph it. When it isn’t it will be curved or in some weird shape.

Step-by-step explanation:

3 0
3 years ago
2
LenKa [72]
I'm going to take a guess regarding what you meant to type in:

<span>3x-9 X +6x+5
E(x)= ------- × -------------
2 2
X -9 X +5x+6

                            3(x+3)        6x+5
becomes  E(x) = ----------- * ------------
                             x-9             5x+6

This cannot be reduced.

Try again to share this problem.  Thank you.

</span>
7 0
4 years ago
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)}

7 0
3 years ago
Aldo put $400 into a savings account that paid an interest rate of 5.4% per year. What was the total amount in his account at th
Greeley [361]
Aldo had $421.60 in his account at the end of 1 year. 400 x 5.4% = $21.6 in interest from one year. $400 + $21.60 = $421.60
3 0
4 years ago
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