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LiRa [457]
3 years ago
7

Graph the function. y = -6x2 - 12x -1

Mathematics
1 answer:
artcher [175]3 years ago
7 0
Answer:

Step by step explanation
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Simplify the function. Than determine the key aspects of the function
Tom [10]

To simplify the function, we need to know some basic identities involving exponents.


1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)


Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]

=(1/3)(3^(4*3*x/4) [ rule 1 above ]

=(1/3) (3^(3*x)

=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]



(A) Initial value is the value of the function when x=0, i.e.

initial value

= f(0)

=(1/3)(3^(3x))

=(1/3)(3^(3*0))

=(1/3)(3^0)

=(1/3)(1)

=1/3


(B) the simplified base base is 3 (or 27 if the other form is used)


(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).


(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

8 0
4 years ago
I have a six sided cube what is the experimental probability of rolling a six
Kazeer [188]
1/6 would be the probability
7 0
4 years ago
What is the area of the base?
MAXImum [283]

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

A=\frac{bh}{2}

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2

So the area of the base is 24 in²

7 0
3 years ago
Vincent plans to save of ⅔ his earnings each week for 16 weeks. He earns approximately $180 per week. About how much will Vincen
lisabon 2012 [21]

Answer:

$1440

Step-by-step explanation:

2/3 earings each week

He gets approximately 180 per week

2/3 of 180 is 120

120*12=1440

He would have saved $1440.

         

8 0
3 years ago
Read 2 more answers
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been wi
finlep [7]

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

7 0
3 years ago
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