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FromTheMoon [43]
3 years ago
13

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x

+ 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!
Mathematics
1 answer:
ruslelena [56]3 years ago
3 0

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, 2(2x+3) is equal to 4x+6. However, 2(2x+3) is not equal to 4x+6 according to Mr. Burrows.

Put x=5 in 2(2x+3)

2[2(5)+3]=2(10+3)=2(13)=26

Put x=5 in 4x+6

4x+6=4(5)+6=20+6=26

Therefore,

2(2x+3)=4x+6

Yes, the same answer is obtained.

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Answer:

2

Step-by-step explanation:

the largest number that 10 and 8 are divisible by is 2.

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3 years ago
3 plus 2 times 3 with an exponent of 4
svetoff [14.1K]

Answer:

625

Step-by-step explanation:

In the number 2 4 (2 to the exponent 4, or 2 to the power of 4), the ‘4’ is the exponent. The ‘2’ is the number to multiply by itself 4 times over. In this case 2 x 2 x 2 x 2 = 16. Formula – How to Solve for an Exponent. Find exponent of a number by multiplying that number by itself the number of the exponent times. number 2 = number

3 0
3 years ago
Name two pairs of adjacent angles and two pairs of vertical angles in the figure
insens350 [35]
Adjacent angles :

IGJ and IGH

KGL and LGM

vertical angles :

JGK and HGM

IGJ and MGL


hope this helps

7 0
3 years ago
Express (8 - 3sqrt(2))/(4 + 3sqrt(2)) in the form of a + b * sqrt(2) where a and b are integers.​
Naya [18.7K]

Answer:   \boldsymbol{-25+18\sqrt{2}}

The expression is in the form a+b\sqrt{2} where a = -25 and b = 18

==========================================================

Work Shown:

Let x = 3\sqrt{2} and then square both sides

x = 3\sqrt{2}\\\\x^2 = \left(3\sqrt{2}\right)^2\\\\x^2 = \left(3\right)^2*\left(\sqrt{2}\right)^2\\\\x^2 = 9*2\\\\x^2 = 18\\\\

We'll use both x and x^2 later on.

---------------------

The denominator is in the form 4+x. We'll multiply top and bottom by 4-x to then use the difference of squares rule. This will allow us to eliminate the square root in the denominator.

\frac{8-3\sqrt{2}}{4+3\sqrt{2}}\\\\\frac{8-x}{4+x}\\\\\frac{(8-x)(4-x)}{(4+x)(4-x)}\\\\\frac{32-8x-4x+x^2}{16-x^2} \ \text{ difference of squares rule}\\\\\frac{32-12x+x^2}{16-x^2}\\\\

\frac{32-12*3\sqrt{2}+18}{16-18} \ \text{ plug in } x = 3\sqrt{2} \text{ and } x^2 = 18\\\\\frac{50-36\sqrt{2}}{-2}\\\\\frac{-2(-25+18\sqrt{2})}{-2}\\\\\boldsymbol{-25+18\sqrt{2}}

Therefore,

\frac{8-3\sqrt{2}}{4+3\sqrt{2}}=\boldsymbol{-25+18\sqrt{2}}

-------------------------------------

Checking the answer:

Use a calculator to find that,

\frac{8-3\sqrt{2}}{4+3\sqrt{2}} \approx 0.45584412271571 \\\\-25+18\sqrt{2} \approx 0.45584412271571

We get the same decimal approximation, which helps confirm the correct answer.

Or you could use the idea that if M = N, then M-N = 0 to subtract the original expression M and the final result N. You should get 0 or very close to it.

3 0
3 years ago
Joe is borrowing $15,000 in a savings account that earns 6% simple interest. How much interest will he owe after 5 years?​
Gennadij [26K]

Answer:

$4,500

Step-by-step explanation:

You would divide $15,000 by 10 to get 10% then to get 30%, which is how much it is after 5 years, you would multiply by 3 to $4500 which is the answer

4 0
3 years ago
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