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IRISSAK [1]
2 years ago
8

please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

Mathematics
1 answer:
MrRa [10]2 years ago
7 0

Answer:

\frac{x^2+19x-56}{4x^2-32x}

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}

We can use the distributive property to simplify:

\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}

The sum of the two is:

\frac{x^2+19x-56}{4x^2-32x}

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\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

\qquad \sf  \dashrightarrow \: 7.2 + (2x + 0.4)

\qquad \sf  \dashrightarrow \: 7.2 + 2x + 0.4

\qquad \sf  \dashrightarrow \: 7.2 +0.4 + 2x

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Therefore, the correct choice is A

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2 years ago
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Please help I have to turn this in by the end of the night
dedylja [7]

Answer:

3 subtracted from the product of 7 and a number b

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7b-3

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3 0
3 years ago
3. Math test scores: 93, 86, 93, 85, 73 mean = median = mode(s) = range = © M. Tallman 2014 ww​
GalinKa [24]

Answer:

Mean = 86

Median = 86

Mode = 93

Range = 20

Step-by-step explanation:

Mean is the average of a set of numbers. To find the average, you add all the numbers together and divide the product by how many numbers are in the set so:

93 + 86 + 93 + 85 + 73 = 430

430/5 = 86

Median is the middle of a set of numbers.

First put the numbers in order of smallest to biggest

73, 85, 86, 93, 93.

The middle number is 86 so the median is 86.

A mode or modes are numbers that appear most frequently in a number of sets. They’re can be multiple modes.

The most frequent number is 93 so the mode is 93

Range is the difference of the biggest number and the smallest number. The biggest is 93 and the smallest is 73.

93 - 73 = 20

The range is 20

6 0
2 years ago
Antonio is a biologist studying life in a pond. He needs to know how deep the water is. He notices a water lily sticking straigh
quester [9]
For this problem we can represent the situation as a rectangle triangle.
 x: depth of water.
 40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
 x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
 By the Pythagorean theorem we have:
 x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
 Clearing x:
 x ^ 2 + 1600 = x ^ 2 + 16x + 64
 x ^ 2 - x ^ 2 = 16x + 64 - 1600
 0 = 16x -1536
 1536 = 16x
 1536/16 = x
 x = 96
 answer:
 1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
 2) the depth of the water is
 x = 96
6 0
3 years ago
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