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2 years ago

Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x

Mathematics

2 answers:

artcher [175]2 years ago

8 0

Answer:

The x-intercept is (1,0). and It is increasing.

Step-by-step explanation:

I just got it right on 9.6.3

notka56 [123]2 years ago

4 0

Answer:

A and C are true

Step-by-step explanation:

Given: $f(x)=\log_6x$

We need to graph the log function. Please see the attached file for graph.

Domain: x>0 All real number greater than 0.

Range: All real number.

y-intercept: Put x=0 and solve for y. (Does not exist)

y-intercept: Put y=0 and solve for x. (1,0)

Log function is increasing function.

A is true. (It is increasing)

B is False. (Because Range is all real number)

C is true. (x-intercept (1,0))

D is false. (It is decreasing.)

E is false. (The y-intercept is (0, 6))

F is false. (Domain is x>0)

Hence, A and C are true.

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A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degr

frez [133]

1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x

answer is 1 second

6 0

2 years ago

Read 2 more answers

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that

sweet [91]

Answer:

$f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})$

Step-by-step explanation:

Let be $f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y)$ , this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:

$r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}$

$r_{1,2} = 5\pm \sqrt{25-6\cdot y}$

The polynomial in factorized form is:

$(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})$

The function can be rewritten and simplified as follows:

$f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})]$

$f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})$

3 0

2 years ago

7th grade math help me please :)

Yuliya22 [10]

Answer:

$288

Step-by-step explanation:

16+8=24

$24 per book

24 x 12 = 288

7 0

2 years ago

Select the correct answer from each drop-down menu.

elena-14-01-66 [18.8K]

Answer:

Values that make 4p - p < 13 true are {1,2,3, and 4}, and values that make 4p - p >13 true are {5,6,7,8, and 9}.

Step-by-step explanation:

Solve the first inequality.

4p - p < 13

3p < 13

p < 13/3

Any values less than 13/3.

Then solve the second inequality.

4p - p > 13

p > 13/3

Any values greater than 13/3.

3 0

2 years ago

I just need help with the table

navik [9.2K]

-2, 0, 2, and 4 are the x values. To find y, we must substitute x for each of these values in y = -3/2x + 2.

-3/2 times -2 = 3. 3 + 2 = 5. The y value that goes with -2 in the table is 5.

-3/2 times 0 = 0. 0 + 2 = 2. The y value that goes with 0 is 2.

-3/2 times 2 = -3. -3 + 2 = -1. The y value that goes with 2 is -1.

-3/2 times 4 = -6. -6 + 2 = -4. The y value that goes with 4 is -4.

So, the table/coordinates are:

(-2, 5)
(0, 2)
(2, -1)
(4, -4)

I hope this makes the process clear.

6 0

2 years ago