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2 years ago

For the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

3 0

Answer:

The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

Step-by-step explanation:

Given the expression

$2(4x+10)=8x+k$

solving

$2(4x+10)=8x+k$

$8x+20 = 8x+k$

We know that the equations with infinitely many solutions have the same expressions on both sides

It means the value of k can be determined by further simplifying such as

$8x+20 = 8x+k$

8x+20-8x = k

20 = k

Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

VERIFICATION:

Given

$2(4x+10)=8x+k$

$8x+20 = 8x+k$

Put k = 20 in the equation

$8x+20 = 8x+20$

$8x+20 - 8x+20 = 0$

$0 = 0$

equations with infinitely many solutions have the same expressions on both sides.

This means the statement is always true.

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3 years ago

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3 years ago

REALLY APPRECIATE YOUR HELP<br><br>Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y

anyanavicka [17]

Answer:

$if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }$

Step-by-step explanation:

$x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}$

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2 years ago

Jeff ordered a soup and a salad at a restaurant for 7.50.he gave the waitress an 18 percent. Ellen ordered a club sandwich for 8

shusha [124]

Answer:

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2 years ago

Tom and jerry both earn the same monthly salary. each month: tom saves 35% of his salary. jerry spends of his salary and saves t

Yanka [14]

The person that saves the most money every month is given as Jerry

<h3>How to solve for the savings</h3>

We have to solve for 35 percent of 5 dollars

= 0.35 * 45

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This is the amount that Tom saves

The question tells us that Jerry spends 2/5 of his, hence he would save 2/5

then we have 2/5 * 5

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Therefore we have that Jerry is the one that saves the most money because he saves 2 dollars.

Complete question

Tom and Jerry both earn the same monthly salary.

Each month

Tom saves 35% of his salary.

Jerry spends 3/5

of his salary and saves the rest of his salary.

Work out who saves the most money each month.

You must show your working.

Read more on savings here: brainly.com/question/25787382

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1 year ago