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2 years ago

Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)

Mathematics

2 answers:

marissa [1.9K]2 years ago

4 0

7x + 1 = 2(2x - 1) + 3(x + 1)

7x + 1 = 4x - 2 + 3x + 3

7x + 1 = 7x + 1

Please mark brainliest if right!

ryzh [129]2 years ago

3 0

Answer with Step-by-step explanation:

2 ( 2x -1 ) + 3 ( x + 1 )

First, let us find the value of the above expression.

2 ( 2x -1 ) + 3 ( x + 1 )

4x - 2 + 3x + 3

Combine like terms

4x + 3x - 2 + 3

7x + 1

Therefore, it is clear that the given expression is equal to 7x + 1.

∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )

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3 years ago

The width of a rectangle is the length minus 7 units. The area of the

AleksandrR [38]

Answer:

8 units

Step-by-step explanation:

here's your solution

=> let the length of rectangle be X

=> then width = x - 7

=> area = 8units

=>> area = length*width

=> area = x (x-7) = 8

=> x^2 - 7 = 8

=> now, x^2 - 7x - 8 = 0

=> factories the above equation by middle term split

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=> take the common

=> x(x - 8) + 1(x - 8)

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3 years ago

In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st

Natasha_Volkova [10]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

$P(A)=\frac{n(A)}{N}$

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

$P(AUB)=P(A)+P(B)$

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

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3 years ago

Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)​

Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)