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3 years ago

Evaluate the expression.

Mathematics

1 answer:

wolverine [178]3 years ago

7 0

Answer : 14

Here is my step by step : Try to Always follow the PEDMAS

6 + 2 = 8

8-12 = - 4

1 . (-4) = 1 . 4 = - 4

= 4. 2

( - 4 ) . 2 = - 4 . 2 = 8

14 - 8 - ( - 8 )

14 - 8 = 6

6-(-8)

- (-8) = + 8

6+8 = 14

Hope that helped

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Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

Liono4ka [1.6K]

The solution of the radical equation is x = 5 / 3.

<h3>How to solve radical equation?</h3>

The radical equation can be solved by isolating x.

Therefore, the radical equation can be solved as follows:

√3x - 1 - 2 = 0

add 2 to both sides

√3x - 1 - 2 = 0

√3x - 1 - 2 + 2 = 0 + 2

√3x - 1 = 2

square both sides

√3x - 1 = 2

(√3x - 1 )² = 2²

Hence,

(√3x - 1 )² = 2²

3x - 1 = 4

Therefore, add 1 to both sides

3x - 1 = 4

3x - 1 + 1 = 4 + 1

3x = 5

divide both sides by 3

3x = 5

3x / 3 = 5 / 3

x = 5 / 3

Therefore, the solution of the radical equation is x = 5 / 3.

learn more on radical equation here: brainly.com/question/28442352

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1 year ago

Is the following true or false?

Reika [66]

Im pretty sure its true

3 0

3 years ago

Find how many solutions there are to the given equation that satisfy the given condition. X1 + x2 + x3 = 22, each x; is a positi

DiKsa [7]

Answer:

Step-by-step explanation:

Given that there are three variables satisfying the equation

$X1 + x2 + x3 = 22$

Here each x is given to be a positive integer

i.e. solution set for each of the variable can be any integer from 1 to 20 at most.(because if two other integers are 1 each third has to be 20)

Hence solution set can be of the form

$(x1,x2,x3) =(1,1,22) (1,2,21) (1,3,20).....$

$=(2,1,19) (2,2,18),...\\=(3,1,18) (3,2,17),....\\...\\...\\=(20,1,1)$

If x1 =1, there are 20 solution sets

If x1 =2,there are 19

...

If x1 =20 there is 1 set

Hence total solutions can be $= 20+19+...+1\\=\frac{20(21)}{2} =210$

6 0

3 years ago

Read 2 more answers

In ABC, O is the centroid of the triangle and AO is 12.7 m. Find the length of OY and AY.

ratelena [41]

Answer:

$\boxed{OY = 6.35 m} \\\boxed{AY=19.05 m}$

Step-by-step explanation:

The centroid of a triangle always cuts a triangle perfectly at 2/3.

What I mean by this is that the line that touches the tip of the triangle and touches the median of the base is cut into one third and its other part is cut into two thirds of the whole segment. This segment is AY.

Knowing this, I can tell that OY is 1/3 of the length of AO, which is given to be 12.7 m.

To find OY, make an equation where AO and OY add up to AY.

$12.7+\frac{1}{3} x=x$

The variable x represents the length of AY, and 1/3x represents the length of OY (because it is one-third of AY).

Solve the equation by subtracting 1/3x from both sides.

$12.7=\frac{2}{3} x$

Divide both sides by 2/3.

$x=19.05$

Now we know the length of AY (x). To find the length of OY substitute this value of x into 1/3x, which represents OY.

$\frac{1}{3} (19.05)$

This gives us 6.35, which is the length of OY.

The final answers are:

OY = 6.35 m
AY = 19.05 m

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3 years ago

Ted and Alan are in a race to double their money. Ted feels he will win if he puts his $4,000 into a savings account offering 4.

siniylev [52]

Ted:
4,000 @ 4.5% interest compounded annually

Alan:
1,000 @ 6% interest compounded annually

Rule of 72: divide 72 by the compound annual interest rate

Ted: 72/4.5% = 16 years
Alan: 72/6% = 12 years

<span>Alan will win. It will take 12 years.</span>

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3 years ago

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