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astra-53 [7]
2 years ago
6

5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?

Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

Step-by-step explanation:

Explanation:

Start by writing out your starting expression

x

2

−

5

x

2

+

5

x

−

14

−

x

+

3

x

+

7

Next, factor the denominator of the first fraction

x

2

+

5

x

−

14

x

2

+

7

x

−

2

x

−

14

x

(

x

−

2

)

+

7

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

Your expression is thus equivalent to

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

x

+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

−

2

)

⋅

(

x

+

7

)

This will get you

x

2

−

5

−

(

x

+

3

)

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

x

2

−

5

−

x

2

−

x

+

6

(

x

−

2

)

(

x

+

7

)

=

1

−

x

(

x

−

2

)

(

x

+

7

)

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Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

5 0
2 years ago
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Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left.​
LenaWriter [7]

Answer:

30%

Step-by-step explanation:

total boxes of pizza = 20

he gave away 14 boxes

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to calculate percentage = 6 / 20 * 100

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5 0
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The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^
Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:


  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.
  • Multiplying by a negative flips the graph.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

4 0
3 years ago
Consider the equation 4+2(5x-8) = ax +b.
vlada-n [284]

Answer:

a = 10, b = -12

Step-by-step explanation:

4+2(5x-8) = ax +b

4 + 10x - 16 = ax + b

10x - 12 = ax + b

Infinitely many solutions when:

a = 10

b = -12

5 0
3 years ago
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25 as a percent compared to 30
BabaBlast [244]
7.5 i think not 100% sure tho
6 0
3 years ago
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