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2 years ago

What is -1 5/6 - (-3 1/4) ?

Mathematics

1 answer:

lions [1.4K]2 years ago

8 0

Answer:

$1\frac{5}{12}$

Step-by-step explanation:

Eliminating a negative and changing our operation

$1\frac{5}{6} +3\frac{1}{4}$

Rewriting our equation with parts separated

$-1-\frac{5}{6} +3+\frac{1}{4}$

Solving the whole number parts

$-1+3=2$

Solving the fraction parts

$-\frac{5}{6} +\frac{1}{4} =[?]$

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

$-\frac{10}{12} +\frac{3}{12}=-\frac{7}{12}$

Combining the whole and fraction parts

$2-\frac{7}{12} =1\frac{5}{12}$

[RevyBreeze]

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The x -intercepts occur when f(x) =0
So,
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x^2 -8x + 13 =0
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3 years ago

Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.

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Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

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What you do now is you always turn the left side over. You do the same thing to total time.

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2 years ago

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2 years ago

Read 2 more answers

Determine the next step for solving the quadratic equation by completing the square

GaryK [48]

Answer:

The two solutions are: $x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

The next and every step are below.

Explanation:

1. $-3=-2x^2+2x$ : Given (addition property / add - 3 to both sides)

2. $-3 = - 2(x^2-x)$ : Given (commom factor - 2)

3. $-3-1/2=-2(x^2-x+1/4)$

To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

$-7/2=-2(x-1/2)^2$

5. Divide both sides by - 2 to get the next expression:

$-7/4=(x-1/2)^2$

6. The last step is to extract squere root from both sides of the equality:

$(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

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2 years ago

Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x

jeka57 [31]

The correct answer to this question is C. equation, –3

The equation is
<span>y = 9x - 4x^2
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x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>

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2 years ago