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4 years ago

How to solve x-2=3(x-4)

Mathematics

2 answers:

Diano4ka-milaya [45]4 years ago

6 0

x - 2 = 3(x - 4)

Distribute 3 inside the parentheses.

x - 2 = 3x - 12

Add 2 to both sides.

x = 3x - 10

Subtract 3x from both sides.

-2x = -10

Divide both sides by -2.

x = 5

Nikolay [14]4 years ago

3 0

x-2 = 3(x-4)

First we should simplify "3(x-4)" .... 3x-12

Now we have : x-2 = 3x-12

Then we should isolate the x and leave it on one side by itself, to do this we can subtract x from both sides and add the 12 to both, doing this we get:

10=2x

Then we should divide the 2 to both sides and we end up with:

x=5

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Rounded to the nearest hundredth , what is the positive solution to the quadratic equation 0=2x^2+3x-8

elena-14-01-66 [18.8K]

The positive solution to the quadratic equation $2 x^{2}+3 x-8=0$ is x = 1.39

<h3>Solution:</h3>

Given quadratic equation is $2 x^{2}+3 x-8=0$

The general quadratic equation is of form:

$a x^{2}+b x+c=0$

Now comparing the general equation with the given equation we get

a = 2 , b = 3 and c = -8

The formula to determine roots of the quadratic equation is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

On plugging in vlaues, we get

$x=\frac{-3 \pm \sqrt{3^{2}-4 \times 2 \times(-8)}}{2 \times 2}$

$\mathrm{x}=\frac{-3 \pm \sqrt{9-(-64)}}{4}$

On solving we get,

$\begin{array}{l}{\mathrm{x}=\frac{-3 \pm \sqrt{9+64}}{4}} \\\\ {\mathrm{x}=\frac{-3 \pm \sqrt{73}}{4}}\end{array}$

$\mathrm{x}=\frac{-3+\sqrt{73}}{4} \text { OR } \mathrm{x}=\frac{-3-\sqrt{73}}{4}$

x = 1.39 OR x = -2.89

Hence , the positive solution to the quadratic equation is x = 1.39

7 0

4 years ago

the sunshine rental company rents cars for $17 per day plus 50 cents per mole driven the rent me company rents cars for $20 per

forsale [732]

Answer:

21.43 miles

Step-by-step explanation:

Let

x ---> the number of miles

y ---> the total cost of rent a car per day

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

sunshine rental company

The slope is equal to

$m=\$0.50\ per\ mile$

The y-intercept is equal to

$b=\$17$

substitute

$y=0.50x+17$ ----> equation A

rent me company

The slope is equal to

$m=\$0.36\ per\ mile$

The y-intercept is equal to

$b=\$20$

substitute

$y=0.36x+20$ ----> equation B

equate equation A and equation B

$0.50x+17=0.36x+20$

solve for x

$0.50x-0.36x=20-17\\0.14x=3\\x=21.43\ miles$

7 0

4 years ago

-8+5w^4=28 what is w=

Murljashka [212]

Answer:

w = ± $\sqrt[4]{36/5}$

Step-by-step explanation:

-8+5w^4=28

You can regroup it:

5w^4 - 8 = 28

Add 8 to both side:

5w^4 = 28 + 8

5w^4 = 36

Divide both side by 5:

5w^4/5 = 36/5

w^4 = 36/5

Take the 4 root of both sides:

w = ± $\sqrt[4]{36/5}$

Hope this help you :3

3 0

3 years ago

Read 2 more answers

Write 88 as a product of prime factors

ddd [48]

88= 44*2
44= 22*2
22= 11*2
neither 11 or 2 have any other prime factors

5 0

3 years ago

Please help me with this math question, It's worth 30 points for whoever want's to answer.

swat32

Answer:

hello I can help you in this

8 0

3 years ago