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3 years ago

10

Determine the domain and range of the function f(×)=

TexFormula1" title="2 \sqrt[3]{108} 2x" alt="2 \sqrt[3]{108} 2x" align="absmiddle" class="latex-formula">

2 answers:

zhannawk [14.2K]3 years ago

5 0

Answer:

Simplifies to:

748.245949x

Liono4ka [1.6K]3 years ago

4 0

Answer: a) {x| all real numbers}; {y| y>0}

Step-by-step explanation: i just took the test it was right for me

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

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3 years ago

2 to the x power equals 512

Slav-nsk [51]

2 to the 8th power = 512
Please make brainliest! ☺

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3 years ago

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7/13 + (-4/13) the answer has to be in simplest form.

Digiron [165]

Answer:

short form:0.23 Long Form:0.23076923076

Step-by-step explanation:

8 0

3 years ago

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17. Write interval notation for the given graph.

Volgvan

Answer:

<u>D</u>

Step-by-step explanation:

The interval notation for the graph :

-5 ≤ x ≤ 7
<u>[5, 7]</u>

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2 years ago

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A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is

pochemuha

Answer:

$P (2) =\frac{1}{7}$ Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

$P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}$

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

$P (2) =\frac{1}{7}$

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

$P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}$

To calculate a theoretical probability you always need to perform an experiment with n trials.

5 0

3 years ago