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3 years ago

The steps to solve it. Unsure what step I am missing.solve: e^(6x)=6e^(x)

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Solve: $e^{6x} = 6e^{x}$

Taking the natural log of both sides will cancel out the left hand side, since exponentials and logarithmic functions are inverses of each other.

$ln(e^{6x}) = ln(6e^{x})$

Using the property, log(ab) = log(a) + log(b), we can simplify the right hand side, and the left side simply will cancel down to 6x.

$6x = ln(6) + ln(e^{x})$
$6x = ln(6) + x$

Isolate the variable to solve directly for x.
$6x - x = ln(6)$
$5x = ln(6)$

$\therefore x = \frac{ln(6)}{5}$

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Help urgent I need this done quick

balu736 [363]

Answer:

It is supplementary.

Step-by-step explanation:

Supplementary angles are angles that have two angles adding up to 180°. You can tell by just finding the straight line that equals 180° then seeing a line that separates the whole measurement into two angles, but together making a 180° angle still. Hope this helps! :D

Meanings of the other Options:

Alternate Interior Angles - Angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.

Corresponding Angles - Angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel, then the corresponding angles are congruent.

Alternate Exterior Angles - Angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Exterior angles lie on opposite sides of the transversal but outside the two parallel lines.

Parallel Lines - Two lines that never intersect. Like an equal sign for example (=).

Transversal - A line the cuts through a parallel line. Like a non-equal sign for example (≠).

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2 years ago

How can i use decimal models to subtract decimals??

Aleonysh [2.5K]

I think a decimal number line would help with subtracting and adding

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3 years ago

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many

Nitella [24]

1 1/5 can be written as 6/5
7 1/2 can be written as 15/2
Let X be the number of laps Kellyn wants to jog to meet her 7 1/2 mile goal:
6/5x = 15/2 Multiply both sides by (5/6), the inverse of 6/5
x = 15(5) / 2 ( 6)
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2 years ago

Read 2 more answers

Write an algebraic

MatroZZZ [7]

Answer:

x = 115 - p

Step-by-step explanation:

generally in algebra you will use the letter "x" to represent a value you do not know, so it wants an algebraic expression for "p subtracted from 115", this can be rewritten as 115 - p. So the unknown value "x" is equal to 115 - p.

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3 years ago

Identify the data set that could be quadratic. HELP ASAP!!

Ne4ueva [31]

Answer:

Option B can be quadratic.

Step-by-step explanation:

Take a look at the data.

A quadratic equation is of the form ,

$y = ax^{2} +bx + c$ ,

where, a,b,c are constants.

To find an unknown equation of 3 variables,

we need 3 points lying on the equation.

here they have given, 5 points, meaning all should lie on the curve.

For first option, inserting first 3 points to find equation, we get equation as,

$y = x^{2} -4x +11$ , but the rest points don't satisfy the curve.

So first option is not quadratic.

Similarly, it can be shown that option C and D are also not quadratic.

While, in option B, it is clear that for every y, x is y squared,

$x = y^{2}$ , thus quadratic in nature.

6 0

3 years ago