1/3 of the opposite of a number is less than 12

Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,

irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function $f(x) =x^{3}$

1. The basic graph $f(x) =x^{3}$

2. The reflected graph $f(x) = -x^{3}$

3. The displaced graph $f(x) = -(x-4)^{3}$

Reflection: In the expression $f(x) = -(x-4)^{3}$ , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function $f(x) = -(x-4)^{3}$ and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

3 0

3 years ago

3V3 х 60° Find the values of x and y. Write your answers in simplest form. X= y=

Alex787 [66]

Answer:

X=3

y=6

Step-by-step explanation:

$tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3$

-----------

$sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6$

hope it helps...

have a great day!!

6 0

3 years ago

John O'Sullivan has just completed his first year in business. His records show that he spent the following in advertising: Inte

krek1111 [17]

Answer:

29.787%

Step-by-step explanation:

The computation of the percentage that spend on yellow pages is shown below:

= Yellow pages ÷ Total advertising cost

= $700 ÷ ($700 + $600 + $650 + $400)

= $700 ÷ $2,350

= 29.787%

6 0

3 years ago

Charlie wants to simulate a random selection from a large population of 40% males and 60% females. How could he use slips of pap

Georgia [21]

Answer:a

Step-by-step explanation:

Cause boys is 2/5 and girls are 3/5

4 0

3 years ago

Read 2 more answers

1)Make an area model(Table) or a tree diagram to model all the possible combinations in this situation. 2)What is the theoretica

Ann [662]

Answer:

Example:

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.

a) Construct a probability tree of the problem.

b) Calculate the probability that Paul picks:

i) two black balls

ii) a black ball in his second draw

Solution:

tree diagram

a) Check that the probabilities in the last column add up to 1.

b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.

ii) There are two outcomes where the second ball can be black.

Either (B, B) or (W, B)

From the probability tree diagram, we get:

P(second ball black)

= P(B, B) or P(W, B)

= P(B, B) + P(W, B)

6 0

3 years ago