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3 years ago

Hey can someone help me with this? I think I'm making a lot more complicated than it really is.

Mathematics

2 answers:

Nat2105 [25]3 years ago

7 0

Well all you have to do is divide the two of them

AlladinOne [14]3 years ago

3 0

Basically put this as a fraction
5,500
---------
11,000

5,500 is 1/2 of 11,000
1/2=50%

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Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by Zero product property we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

I need help. this is applying rules for exponent and radicals

lbvjy [14]

-6/√(8x) ×√(8x)/√(8x) = -6√(8x)/8x
= -3√(8)x/4x
= -3√(8)√(x)/4x
= -6√(2)√(x)/4x
= -3√(2)√(x)/2x
= -3√(2x)/2x

6 0

3 years ago

HELP. NEED HELP FAST

Zielflug [23.3K]

Answer:

C. 3

Step-by-step explanation:

8 / 1/3

When dividing fractions, do CCF (Copy, Change, Flip)

You keep the first number: 8

Change the division sign to multiplication: X

Flip the fraction to make it its reciprocal: 3/1

New expression:

8 X 3/1 or 8 X 3

5 0

3 years ago

Use slopes and y-intercepts to determine if the lines -5x – 4y = -3 and -5x – 5y = -3 are parallel

Bogdan [553]

Answer:

Not parallel.

Step-by-step explanation:

If the slopes are the same they are parallel.

So we convert each one to slope-intercept form:

-5x - 4y = -3

-4y = 5x - 3 Divide both sides by -4:

y = -5/4 x + 3/4.

Slope = -5/4.

-5x – 5y = -3

-5y = 5x - 3 Divide both sides by -5:

y = -1 x + 3/5.

Slope = -1.

The slope are different - so NOT parallel.

7 0

3 years ago

What is the slope of the line that cuts through the points (1, 2) and (5, 4)? a. 2 c. One-half b. -2 d. Negative one-half Please

Sphinxa [80]

D,) negative one half please

3 0

3 years ago