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3 years ago

|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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Answer:

These triangles cannot be proven congruent.

They are similar but NOT congruent.

Step-by-step explanation:

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3 years ago

UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for

Pavlova-9 [17]

Answer:

12 pounds

Step-by-step explanation:

We we need to write equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15(x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25(x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

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3 years ago

The area of the parallelogram below is ____ square meters.

Licemer1 [7]

give some Parameters so that we can solve

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2 years ago

3.4=21 2.5=7. 4.4=؟

Licemer1 [7]

Answer:

Step-by-step explanation:

From the given values

The possible logic could be

if x.y is given

then it is equal to $=\frac{(x+y)\times x}{y-3}$

For 1st example

3.4 $=\frac{(3+4) \times 3}{4-3} =\frac{21}{1} =21$

For 2nd example

2.5 $=\frac{(2+5) \times 2}{5-3} =\frac{7 \times 2}{2} =7$

⇒4.4 $=\frac{(4+4)\times 4}{4-3} =32$

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3 years ago

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algol [13]

Answer:

Step-by-step explanation:

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2 years ago