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3 years ago

8x-6+2x=44 what does x equal

Mathematics

2 answers:

klio [65]3 years ago

7 0

Answer:

x=5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

harina [27]3 years ago

3 0

Answer:

X=5

Step-by-step explanation:

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MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

Given functions:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the quadratic formula and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0

2 years ago

What is the fraction 18/24 reduced to its lowest terms?

WINSTONCH [101]

First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

$\frac{3}{4}$

The answer is (b).

8 0

3 years ago

Read 2 more answers

there are 16 bactiria in a beaker and four hours later there are 228 bacteria in the beaker. what is the rate of change per hour

Dominik [7]

Write and solve the appropriate exponential equation:

228 = 16(r)^4, where r is the change per hour in the number of bacteria:

228

------ = r^4 = 14.25.

Taking the fourth root of both sides, we get: r = 1.94 (answer)

8 0

3 years ago

Read 2 more answers

Max is 6 years older than his brother. If Max is M years old, then his brother is ____ years old.

Doss [256]

Max' brother is M-6 years old.

6 0

3 years ago

2/7> b+5/7 what is “B”

Masteriza [31]

Answer:

-3/7 > b

Step-by-step explanation:

2/7> b+5/7

Subtract 5/7 from each side

2/7-5/7> b+5/7-5/7

-3/7 > b

7 0

3 years ago