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3 years ago

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What is the simplified base for the function f(x) = 2RootIndex 3 StartRoot 27 EndRoot Superscript 2 x? a.2 b.3 c.9 d.18

2 answers:

7nadin3 [17]3 years ago

8 0

Answer:

c) In the expression of f(x), when simplified the base is 9 .

Step-by-step explanation:

We are to find the simplified base for the function,

f(x) = $2 \times ({\sqrt[3]{27})^{2x}$

= $2 \times (9^{x})$

So, in the above expression of f(x), when simplified, the coefficient is, 2, the base is 9 and the index is, x .

romanna [79]3 years ago

8 0

Answer:

the answer is C

Step-by-step explanation:

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Given the function f(x)=-5x^2+2x+9,find f(1) and f(2) Choose the statement that is true concerning these two values

SIZIF [17.4K]

F(1) = -5(1)^2+2(1)+9 = 6
f(2) = -5(2)^2+2(2)+9 = -9

So, because f(1) = 6 is positive and f(2) = -9 is negative, f(1) > f(2).

f(1) is greater than f(2)!

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3 years ago

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A cyclist travels 4 miles in 15 minutes and then a further 6 miles in 25 minutes without stopping.

Tcecarenko [31]

Total distance traveled = 4 + 6 = 10 miles

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3 years ago

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Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

$x = \frac{100 + 80y}{20}$

$x = 5 + 4y$

Replacing on the second equation:

$-14x + 56y = -70$

$-14(5 + 4y) + 56y = -70$

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This means that the system has an infinite number of solutions, considering:

$x = 5 + 4y$

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The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

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3 years ago

1) State the amplitude, period, phase shift, vertical shift and graph

bogdanovich [222]

Answer:

See answers and explanations below (along with a visual graph)

Step-by-step explanation:

For the function $y=acos(b(x+c))+d$ :

Amplitude: $|a|$

Period: $\frac{2\pi}{|b|}$

Phase shift: $\frac{-c}{b}$

Vertical shift: $d$

Therefore, for $y=2cos(\frac{2}{3}(\theta+\pi))-1$ :

Amplitude: $|a|=|2|=2$ , which is 2 units above and below the midline (see d)

Period: $\frac{2\pi}{|b|}=\frac{2\pi}{|\frac{2}{3}|}=\frac{2\pi}{\frac{2}{3}}=3\pi$ , so the cycle will repeat every 3π units

Phase shift: $\frac{-c}{b}=\frac{-\frac{2\pi}{3} }{\frac{2}{3} }=-\pi$ , or π units to the left

Vertical shift: $d=-1$ , or 1 unit down

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3 years ago

A negative number divided by a positive number is:

Verdich [7]

Answer:

When you divide a negative number by a positive number then the quotient is negative.

Step-by-step explanation:

hope this helped

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3 years ago