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3 years ago

10

How to solve for x/ extraneous solutions

1 answer:

taurus [48]3 years ago

3 0

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

$\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D$

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HELP PLEASE!!!!!!!:(

NemiM [27]

Answer:

D

Step-by-step explanation:

$\frac{1}{2} = \frac{7}{14} \\$

$\frac{1}{7} = \frac{2}{14}$

$\frac{7}{14} + \frac{2}{14} = \frac{9}{14}$

5+2=7

$7 + \frac{9}{14} = 7 \frac{9}{14}$

3 0

3 years ago

The main tank has a radius of 60 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest wh

Scrat [10]

If the main tank is spherical, then its volume is $\dfrac43\pi\times60^3=288000\pi$ . A quarter-sphere would be one fourth of this volume, or $72000\pi$ .

6 0

4 years ago

which statement correctly compares two values? a)the value of the 7 in 37.596 is 1/10 the value of the7 in 26.74 b) the value of

Andrews [41]

The value of 7 in 26..74 is 0.7

The value of 7 in 37.596 is 7.

1/10 the value of 7 in 26.74 is 0.07 and 0.07 ≠ 7.

So, statement a) is incorrect.

1/100 the value of 7 in 26.74 is 0.007 and 0.007 ≠ 7.

So, statement c) is incorrect.

100 times the value of 7 in 26.74 is 70 and 70 ≠ 7.

So, statement d) is incorrect.

10 times the value of 7 in 26.74 is 7 and 7 = 7.

So, statement b) is correct and it correctly compares two values.

7 0

3 years ago

If g(x) = x^2 + 6x with x ≥ -3, find g ^-1(0).

Dvinal [7]

Answer: 0

<u>Step-by-step explanation:</u>

g(x) = x² + 6x ; x ≥ -3

To find the inverse, swap the x's and y's and solve for "y":

x = y² + 6y

x + 9 = y² + 6y + 9 <em>add 9 to both sides to create a perfect square</em>

x + 9 = (y + 3)²

$+/-\sqrt{x+9}$ = y + 3 <em>take square root of both sides</em>

$-3 +/-\sqrt{x+9}$ = y ; y ≥ -3

g⁻¹(0) = $-3 +/-\sqrt{0+9}$

= $-3 +/-\sqrt{9}$

= -3 ± 3

= -3 + 3 , -3 - 3

= 0 , -6

since the restriction is: y ≥ -3, then -6 is not valid

4 0

3 years ago

If C is the midpoint of BD, what is the coordinate of point C if point B is at 0?

Agata [3.3K]

Answer:

It depends on where point D is placed so C > 0

Step-by-step explanation:

As i said above

8 0

3 years ago