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3 years ago

When (2x-3)^2-3 is subtracted from 5x^2 the result is?

1 answer:

3 0

(2x-3)² - 3 is subtracted from 5x²

Solve the terms within the parenthesis and has exponents. Group like terms and simplify.

(2x-3)(2x-3) ⇒ 2x(2x-3) -3(2x-3) ⇒ 4x² - 6x - 6x² + 9 ⇒ -2x² - 6x + 9

Deduct 3 from the answer of the previous solution.
-2x² - 6x + 9 - 3 ⇒ -2x² - 6x + 6

Deduct the answer of the previous solution from 5x²

5x² - 2x² - 6x + 6 ⇒ 3x² - 6x + 6

3x² - 6x + 6 can be factored by 3.

3(x² - 2x + 2)

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Wright the inequality that represents the sentence.

Serga [27]

X-5 is greater than or equal to -28
X*4 is less than or equal to -10
(x/3) + 6 is greater than 14

7 0

3 years ago

Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a

earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

Solution:

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

Alex is 12 years older than George

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

Carl is Three times older than Alex

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

The sum of their ages is 68

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

Substitute eqn 1 and eqn 2 in eqn 3

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

Substitute a = 16 in eqn 2

c = 3(16) = 48

c = 48

Substitute a = 16 in eqn 1

g = 16 - 12 = 4

g = 4

Find the ratio of George’s age to Carl’s age to Alex’s age

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0

4 years ago

What is the yintercept of the line given by the equation below? y= 8x+7

katrin [286]

17 Is not the right answer whats the right answer

3 0

4 years ago

Read 2 more answers

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

spayn [35]

Answer:X=5/6 Y=8/5

Step-by-step explanation:

-6x +5y=3

+6x

5y=6x+3 (divide each number by 5)

Y=6/5x + 3/5 (Plug that into your x equation)

12x+15 (6/5x + 3/5) =34

(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )

15•6=90 divided by 5=18x

15•3= 45 divided by 5=9

(Add like variables)

12x+18x=30x

30x+9=34

(Subtract 9 from itself do the same to 34)

9-9= 0

34-9=25

Divide 30 by itself to get x by itself then divide 25 by 30

25 divided by 30= 5/6

X=5/6 (plug that into the y equation)

Y=6/5•5/6+3/5

Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators

6/5•5/6=30/30=1

Y=1+3/5

1/1 + 3/5

Here you need to have like denominators because it is addition so just use 5

5•1=5

5/5+3/5=8/5

Y=8/5

5 0

3 years ago

HELP

fiasKO [112]

1000 divided by 100 is 10. 10 x 5 is 50. After the first year, Sue has 1050. But compound interest is interest on the amount AFTER the amount is added, so she will now earn interest on 1050. 1050 / 100 is 10.5. 10.5 x 52.50.
52.50 + 50 = 102.50. The answer is D. Hope this helps :)

8 0

3 years ago

Read 2 more answers