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2 years ago

What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3

Mathematics

2 answers:

lianna [129]2 years ago

7 0

Answer:

F(x) has the smallest possible y-value

The minimum y-value of g(x) approaches -3

Mice21 [21]2 years ago

5 0

Answer: g(x) has the smallest possible y-value of -3

Step-by-step explanation:

f(x) = 3ˣ - 3 This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.

Range: y > 3 (-3, ∞)

g(x) = 7x² - 3

⇒ g(x) = 7(x - 0)² - 3 This is a parabola with vertex at (0, -3)

Range: y ≥ 3 [-3, ∞)

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A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did t

WARRIOR [948]

Answer:

The ferris wheel travelled 434.717 ft.

Step-by-step explanation:

Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:

radius = height/2 = 246/2 = 123 ft

The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:

length = r*(angle in radians)

length = 123*(9pi/8)

length = 434.717 ft

The ferris wheel travelled 434.717 ft.

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2 years ago

Write an expression showing 5 less than the number K

BigorU [14]

Answer:

k-5

Step-by-step explanation:

5 0

2 years ago

The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it

mash [69]

An expression that represents the perimeter of the rectangle would be:

P = 2(3n+2) + 2(n-1)

Hope this helps!

5 0

3 years ago

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm

IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean $\mu$ is 547 and that the standard deviation $\sigma$ is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

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2 years ago

Can anyone guess what game i was playing by the looks of it

OLEGan [10]

Answer:

A VR car game and an iphone

Step-by-step explanation:

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2 years ago