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2 years ago

What is the range of y=log^2(x-6)

Mathematics

2 answers:

Alborosie2 years ago

8 0

Answer:

Ans: All real numbers

Step-by-step explanation:

Marysya12 [62]2 years ago

6 0

Answer:

$y\geq 0$ or $[0, \infty)$

Step-by-step explanation:

By definition the function

$y = log (x)$ has a domain of $x> 0$ .

Since the function is not defined for the values of x negative or equal to zero.

The range of this function is all the real numbers.

Since $y$ when $0$ and $y\geq0$ when $1\leq x$

In this case we have the function $y = log ^ 2 (x-6)$

Therefore since the log function is squared then its range is now $y\geq 0$

You might be interested in

1/8 +c= 4/5 what does c equal

Ray Of Light [21]

Answer:

c=27/40 = 0.675

Step-by-step explanation:

the statement give us the expression:

1/8 +c= 4/5

we subtract the term "1/8" both sides:

we have:

1/8 -1/8+c= 4/5-1/8

c=4/5-1/8

c=(4*8)-(5*1)/(5*8)

c=(32-5)/(40)

c =27/40 = 0.675

7 0

3 years ago

1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.

Lady_Fox [76]

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

Sorry I didn’t do a but just add all the things above and u get your answer

4 0

2 years ago

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Inga [223]

Answer:

$f(x) = \frac{4}{x-8} - 3.5$

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

$g(x) = \sqrt{x+4} - 6$

The y-intercept is

$g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4$

$f(x) = \frac{4}{x-8} - 3.5$

The y-intercept is:

$f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4$

This is the correct answer

$f(x) = -\frac{4}{x} - 1$

The y-intercept is

$f(0) = -\frac{4}{0} - 1$

This is an asymptote

$f(x) = 2|x+2|$

The y-intercept is

$f(0) = 2|0+2| = 4$

$f(x) = |x - 4|$

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0

2 years ago

Composite volcanoes are known for their beautiful, distinctive cone shape. A composite volcano called Mayon in the Philippines h

Grace [21]

Answer: $77.283km^{2}$

Step-by-step explanation:

The formula for the lateral area of a cone $L.A$ is:

$L.A=\pi r h$

Where:

$r=10km$ is the radius of the circular base of the cone

As we know its diameter $d=20km$ , its radius is $r=\frac{d}{2}=10km$

$h=2.46km$ is the height of the cone

$L.A=\pi (10km)(2.46km)$

$L.A=77.283km^{2}$ This is the lateral area of the volcano with the shape of a cone

7 0

3 years ago

If the spinner is spun another 1000 times about how many times would you expect it to land on blue? Frequency of blue is 45

Veseljchak [2.6K]

Answer:

450 considering Blue appears 45 times in 100 spins.

Step-by-step explanation:

Let us assume that frequency of Blue is 45 times in 100 spins.

So we have to calculate the number of times the spinner lands on blue in 1000 spins.

It simply can be calculated as

Expected number of landing on blue:

Expected frequency = probability × number of trials

= (45/100)×1000

= 450 times

So, Expected number of landing on blue = 450

7 0

2 years ago