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3 years ago

Factor completely 4x^2 − 8x − 60.

Mathematics

2 answers:

hram777 [196]3 years ago

7 0

The answer is B, 4(x-5)(x+3)

Veseljchak [2.6K]3 years ago

6 0

The answer above is a correct answer

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Solve the following logarithmic equations.<br> ln(32x^2) − 3 ln(2) = 3

Kazeer [188]

Answer:

$x=\pm \frac{\sqrt{e^{3} } }{2}$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln(32x^{2} )-ln(2^{3})=3\\ ln(32x^{2} )+ln(\frac{1}{2^{3} } )=3\\ln(\frac{32x^{2} }{8})=3\\ ln(4x^{2} )=3$

Cancel logarithms by taking exp of both sides:

$e^{ln(4x^{2}) } =e^{3} \\4x^{2} =e^{3}$

Divide both sides by 4:

$x^{2} =\frac{e^{3} }{4}$

Take the square root of both sides:

$x=\pm \sqrt{\frac{e^{3} }{4} } =\pm \frac{\sqrt{e^{3} } }{2}$

6 0

3 years ago

The amounts below represent the last twelve transactions made to Juan's checking account.Positive numbers represent deposits and

TiliK225 [7]

Answer:

Option B. Range of the given sample data is 113.

Step-by-step explanation:

The given question is incomplete; here is the complete question.

Find the range for the given sample data.

The amounts below represent the last twelve transactions made to Juan's checking account. Positive numbers represent deposits and negative numbers represent debits from his account.

$28 -$20 $67 -$22 -$15 $17 -$38 $41 $53 -$13 $30 $75

Option A. $75

Option B. $113

Option C. $37

Option D. -$113

Transaction done by Juan can be arrange from lowest to highest

-38 -22 -20 - 15 -13 17 28 30 41 53 67 75

Now we know rage of the sample data = Highest value - Lowest value

= 75 - (-38)

= 113

Therefore, range of the given sample data is 113.

Option B is the answer.

6 0

3 years ago

what is the distance from one number to the next in a sequence of numbers that is represented by a (d) in a arithmetic sequence

Vinil7 [7]

Dat be called common difference represented by d in the equation

$f(n)=f(1)+d(n-1)$

3 0

3 years ago

Which of the following illustrates the truth value of the given conditional statement?

adoni [48]

Answer:

p.10 > 7

Step-by-step explanation:

5 0

3 years ago

Correct answer gets brainliest and full ratings.

VMariaS [17]

The correct answer is C.) 0.4

7 0

3 years ago

Read 2 more answers