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3 years ago

Suppose that f(x)=x^3 and g(x)=-2^3-7 which statement best compares the graph of g(x) with the graph of f(x)

Mathematics

1 answer:

Nikolay [14]3 years ago

7 0

Answer:

A. The graph of $G(x)$ is the graph of $F(x)$ stretched vertically, flipped over the x axis, and shifted 7 units down.

Step-by-step explanation:

Given:

$F(x)=x^3\\G(x)=-2x^3-7$

In order to transform $F(x)$ to $G(x)$ , we need to follow the following transformation rules:

1. Multiply the function by the number 2. According to transformation rules, multiplying a function by a positive number greater than 1 results in vertical stretch of the function's graph.

2. Multiply by -1. Multiplying a function by -1 flips it over the x axis.

3. Add -7 to the function obtained in step 2. When a negative number C is added to a function, then the graph shift down by C units. So, here the graph shifts down by 7 units.

Thus, the graph of $G(x)$ is the graph of $F(x)$ stretched vertically, flipped over the x axis, and shifted 7 units down.

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Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1

love history [14]

The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events A and B are independent the conditional probability of event B given event A is simply the probability of event B, that is P(B).
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.

5 0

3 years ago

Read 2 more answers

789,091 to the nearest ten thousand

slava [35]

i think it's 790,000 or 800,000 i hope i helped

6 0

3 years ago

Plz help they are drag ins

Alex777 [14]

Bruh i hate plato so much

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3 years ago

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Gnesinka [82]

A.
the y intercept is where x=0
x represents the number of months
when the number of months is 0, that is the initial number of games won

that looks to be a little below y=2, so maybe y=1.8?
the y intercept is y≈1.8
it represents the number of games won with 0 months of practice

B.
we can use y=mx+b
m=slope
b=y intercept
we know the y intercept
find the slope
slope=rise/run
the I'm going from x=0 to x=10
the rise is about 18.95 (from 1.8 to 20.75)
the run is 10
so slope would be 18.95/10=1.895

the equation would be y=1.895x+1.8
the points were (0,1.8) and (10,20.75)

6 0

3 years ago

1. A Babylonian tablet found in 1936 shows that the Babylonians sometimes used a more accurate value of π than 3. They determine

madreJ [45]

Answer:

Step-by-step explanation:

Area of a circle is given as πr² and its circumference is expressed as 2πr.

If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;

Area of circle = (circumference of a circle)²

πr² = (2πr)²

πr² = 4π²r²

Dividing both sides of the equation by πr² we have;

$\frac{\pi r^{2} }{\pi r^{2} } =\frac{4\pi^{2} r^{2} }{\pi r^{2} }\\1 = 4\pi \\\pi =\frac{1}{4}$

The value of π this yields is 1/4

6 0

3 years ago