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3 years ago

Which of the following numbers is a perfect square? 141 196 124 222

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer:

The answer is 196

Step-by-step explanation:

Find the square root of each number. All numbers are decimals but 196, which is 14

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Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

2 years ago

Read 2 more answers

Simplify the expression 9+2(x+7)+7(y+2)

mel-nik [20]

Answer:

2x + 7y + 37

Step-by-step explanation:

9+2(x+7)+7(y+2)

= 9 + 2x + 14 + 7y + 14

= 2x + 7y + 37

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2 years ago

amelia spent $5.25 for a drink and a sandwich or drink cost $1.35 did she have a turkey sandwhich for $4.22 a tuna sandwich for

Greeley [361]

Answer:

$3.46 or $3.92

Step-by-step explanation:

it has to be $3.46 because you have to remember that tax is included and it could cost more than what you are paying for the sandwich or drink. but the other possible answer is $3.92 if you're not paying any tax.

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3 years ago

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ANTONII [103]

Answer:

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Step-by-step explanation:

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2 years ago

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If

Pani-rosa [81]

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4 years ago