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AfilCa [17]
3 years ago
12

|2x-8| + 3 = 5 two solutions

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

∵ I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

→ 1st solution

∵ 2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

∴ x = 5

→ 2nd solution

∵ 2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

∴ x = 3

∴ The two solutions are 5 and 3

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Find the first four terms of the sequence given by the following. an= 4(2)^n-1 n=1, 2, 3...
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Answer + Step-by-step explanation:

an= 4(2)ⁿ⁻¹

<u>First term (n = 1)</u> :

a1= 4(2)¹⁻¹ = 4(2)⁰ = 4×(1) = 4

<u>Second term (n = 2)</u> :

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<u>Third term (n = 3)</u> :

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<u>Fourth term (n = 4)</u> :

a4= 4(2)⁴⁻¹ = 4(2)³ = 4×(8) = 32

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2 years ago
Can someone please help out? I’m stuck on this question and can’t figure it out for the life of me
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The measure of angle A will be 61°

The sum of A and B is 122°

The sum of A B and C is 151°

<h3>How to calculate the angle?</h3>

It should be noted that complementary angles have an angle of 90°.

Therefore, the value of A will be:

= 90° - 29°

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The value of B will be:

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The value of A B and C will be:

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Learn more about angles on:

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Answer:

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Step-by-step explanation:

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