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Nataly_w [17]
3 years ago
13

X/4 · ___ = x. A)-4 B)0 C)1/4 D)4

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0
The answer is choice D) 4

(x/4) times 4 = x

You can think of it as 
(1/4) times 4 = 1
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What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
3 years ago
Read 2 more answers
What point is located on the x-axis<br><br> Pls help
qaws [65]

Answer:

Point C is located on the x-axis.

Step-by-step explanation:

edge 2020

7 0
3 years ago
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Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-
Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = \dfrac{y_2-y_1}{x_2-x_1}

S_1=\dfrac{-2-0}{0-1}

S_1 = \dfrac{-2}{-1}

S_1=2

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

S_2 = \dfrac{2-0}{1-(-1)}

S_2 = \dfrac{2}{1+1}

S_2 = \dfrac{2}{2}

S_2 =1

Now, S_1>S_2

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0
3 years ago
Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
ella [17]

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

8 0
2 years ago
Suppose that we were going to conduct a study to determine if there is an decrease in risk of getting lung cancer based on wheth
nalin [4]

Answer: Option C

Step-by-step explanation:

In group(1), the risk is= 5/2000 x 100

                          = 0.25

In group(2), the risk is= 5/1000 x 100

                         = 0.5

The sample relative risk is= 0.25/0.5

                                          = 0.5

So, option C is correct.

7 0
3 years ago
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