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3 years ago

What is the solution for x in the equation?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

3 0

Answer:

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

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Name the property shown. (3 • 5) • 12 = 3 • (5 • 12)

Nata [24]

Commutative i believe

8 0

2 years ago

Solve x2 – 7x = –13.

aleksklad [387]

we have

$x^{2} -7x=-13$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -7x+3.5^{2}=-13+3.5^{2}$

$x^{2} -7x+12.25=-13+12.25$

$x^{2} -7x+12.25=-0.75$

Rewrite as perfect squares

$(x-3.5)^{2}=-0.75$

remember that

$i=\sqrt{-1}$

Square root both sides

$(x-3.5)=(+/-)\sqrt{-0.75}$

$(x-3.5)=(+/-)\sqrt{-1*0.75}$

$(x-3.5)=(+/-)\sqrt{0.75}i$

$x1=3.5+\sqrt{0.75}i$

$x2=3.5-\sqrt{0.75}i$

Simplify

$\sqrt{0.75}=\frac{\sqrt{3}}{2}$

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

therefore

the answer is

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

6 0

2 years ago

Read 2 more answers

Can y'all please help.

sattari [20]

Answer:

See explanation

Step-by-step explanation:

Step 1. Substitute for d to solve for n:

From the first equation:

$d=70-n$

Then substitute it into the second equation:

$0.1(70-n)+0.05n=5.5\\ \\7-0.1n+0.05n=5.5\\ \\7+(-0.05n)=5.5\\ \\-0.05n=5.5-7=-1.5\\ \\n=\dfrac{-1.5}{-0.05}=30$

Step 2: Substitute for n to solve for d:

$d+n=70\\ \\d+30=70\\ \\d=70-30=40$

There are 40 dimes and 30 nikels in the piggy bank

6 0

3 years ago

I need the answer!!!

Maslowich

Answer:

The first one is 12

second one is 1

third one is 23

last one 5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Kong took 15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85

Evgen [1.6K]

Hello!

If Kong took a 85 second and we if Nolan took 15 slower then Nolan took a 72.25 second test. First you would find 14 percent of 85 then that is 12.75. Minus that from 85 and you get 72.25.

Hope It helps!

5 0

2 years ago

What is the solution for x in the equation?​

What is the solution for x in the equation?