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2 years ago

2x=12+12x????????????

Mathematics

2 answers:

liubo4ka [24]2 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

1) Add the numbers

2x = 12 + 12

2x = 24

2) Divide both sides of the equation by the same term

2x = 24

$\frac{2x}{2} = \frac{24}{2}$

3) cancel terms that are in both the numerator and denominator.

Divide the numbers.

x= 12

Effectus [21]2 years ago

3 0

Answer:

$\sf\longmapsto \: x = 12$

Step-by-step explanation:

$\sf\longmapsto \: 2x = 24$

$\sf\longmapsto \: x = \frac{24}{2}$

$\sf\longmapsto \: x = 12$

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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Vedmedyk [2.9K]

Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

Composite Functions
Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5
Combine like terms: (f + g)(x) = 5x² - 4

8 0

2 years ago

The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

Algebra 1 :

victus00 [196]

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

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2 years ago

The line A bus arrives at the stop every 25 min. and the line B bus arrives every 15 min. Both arrive at the bus stop at 1 pm. A

worty [1.4K]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

6x−4y=−24 4x−8y=−32 What is the ordered pair for both of them?

denis23 [38]

Multiply the first equation by -2 to eliminate a variable so it becomes:
-12x+8y=48
4x-8y=-32
Add them together.
-8x=16
x=-2
Plug it in one equation.
6(2)-4y=-24
12-4y=-24
-4y=-12
y=3
Ordered pair is: (-2,3)

6 0

2 years ago

2x=12+12x????????????​

2x=12+12x????????????