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3 years ago

12

16. Calculate the following logarithms. a. log5(25)

1 answer:

stellarik [79]3 years ago

6 0

Answer:

The answer to your question is: 2

Step-by-step explanation:

Logarithms is a number to which a base must be powered to give another number.

In this example, 5 is the base and must be powered to give 25.

Then, to obtain 25, the power must be 2 because 5² = 25.

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Simplify the expression

kow [346]

Answer:

<h3> f(x) = 5x² + 2x</h3><h3> g(x) = 6x - 6</h3>

Step-by-step explanation:

$\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6$

4 0

2 years ago

Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to

amid [387]

parallel means "same slope (m)"

m = $\frac{y2 - y1}{x2 - x1}$ = $\frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}$

Now, input the point (0, 0) and the slope $(\frac{-5}{3})$ into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = $\frac{-5}{3}$ (x - 0)

y = $\frac{-5}{3}x$

3y = -5x <em>multiplied both sides by 3</em>

0 = -5x - 3y <em>subtracted 3y from both sides</em>

Answer: C

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3 years ago

What are the answers of these and if work is needed please explain? Thank you

wolverine [178]

1) (-4,0)lowest and highest x values
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3 years ago

90.5 rounded to the nearest one

sladkih [1.3K]

Answer:

91

Step-by-step explanation:

90.5 needs to be a whole number, and if it ends in 5 you round it up

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3 years ago

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The image of a point is B'(-4, 11). A 180° clockwise rotation was performed to get this image. What were the coordinates of the

Musya8 [376]

I think it would be 4 11

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3 years ago

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