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Rus_ich [418]
4 years ago
7

What two rational expressions sum to

mula1" title="\frac{4x+2}{x^{2}-9+8 }" alt="\frac{4x+2}{x^{2}-9+8 }" align="absmiddle" class="latex-formula"> Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.

Mathematics
2 answers:
Darina [25.2K]4 years ago
8 0

Answer:4x+2/x2−9x+8 = −6/7(x−1) + 34/7(x−8)

bulgar [2K]4 years ago
3 0

Answer:

\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}

Step-by-step explanation:

Given

\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}

Required

Fill in the gaps

Going by the given parameters, we have that

\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}

x^2 - 9x + 8, when factorized is (x-1)(x-8)

Hence; the expression becomes

\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}

Combine Fractions

\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}

Simplify the denominators

4x + 2 = A + B

By direct comparison

A = 4x

B = 2

Hence, the complete expression is

\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}

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The math test scores of Mrs. Hunter's class are shown below:
pishuonlain [190]

Answer:

82

Step-by-step explanation:

Well since everything is already in order from least to greatest:

48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

The median is the number in the middle

So 82 is the median

Hope this helps!

Feel free to comment any questions you have!

6 0
3 years ago
Find the value of the variable
marissa [1.9K]

Answer:

x=13

Step-by-step explanation:

because they're alternate adjacent angles:

5x=78-x

6x=78

x=13

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%2013x%3D%20-6" id="TexFormula1" title="x^{2} + 13x= -6" alt="x^{2} + 13x= -6
HACTEHA [7]

Answer:

Is that a magic spell??

Step-by-step explanation:

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6 0
2 years ago
Susan drove to visit a friend. She drove 345
padilas [110]

Answer:

Average\ Speed = 60 mi/hr

Step-by-step explanation:

Given

Distance = 345\ miles

Time = 5\ hours\ 45\ minutes

Required

Determine the average speed

This is calculated as thus:

Average\ Speed = \frac{Distance}{Time}

Convert time to hour:

Time = 5\ hours\ 45\ minutes

Time = 5\ hours + \frac{45}{60}\ hour

Time = 5\ hours + \frac{3}{4}\ hour

Time = \frac{20 + 3}{4}\ hours

Time = \frac{23}{4}\ hours

Time = 5.75\ hours

Average\ Speed = \frac{Distance}{Time}

Average\ Speed = \frac{345}{5.75}

Average\ Speed = 60 mi/hr

7 0
3 years ago
Can someone help me with this?
Alexeev081 [22]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the areas,

Area of a rectangle = length * width.

hence, l = 11 and w = 4

hence, 4*11 = 44 square units.

Area = 44 sq. units

8 0
3 years ago
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