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Lisa [10]
3 years ago
6

If Kim wanted to create a function that modeled an exponential function with base of 7 and what exponents were needed to reach s

pecific values, how would she set up her function? f(x) = x7 f(x) = 7x f(x) = log7x f(x) = logx7
Mathematics
2 answers:
mestny [16]3 years ago
6 0
Your answer is f(x) = log₇(x) hope this helps
Novay_Z [31]3 years ago
6 0

Answer:

f(x) = x^7

Step-by-step explanation:

Given that Kim wanted to create a function that modeled an exponential function with base of 7

So the appropriate function would be

y=7^x

which is exponential with base 7, passing through (0,1) and have range as only positive values of y.

y=0 will be an asymptote for this graph.

Other functions are wrong because

f(x) = x^7 is a polynomial funciton and not exponential

Similarly log_{7} x is a logrithmic funciton and the next also

Hence right answer is option 2.

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What is the vertex of the quadratic function given in the table?
likoan [24]

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

7 0
2 years ago
Read 2 more answers
Store A is sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6
andrew11 [14]
What's the question!???????
3 0
3 years ago
What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left p
Alexeev081 [22]

Answer:

None of the points is a solution

The question doesn't look logical correct, check closely

Step-by-step explanation:

With the points ;

(1,-1)(1,−1)

The slope is = ( -1-( -1))/( 1-1)= infinity

Similarly if you do same with

5,-7)(5,−7) ; the slope would be infinity

6 0
3 years ago
If f(x) = -(1/x^3) and x takes on successive values from -10 to 0.1 ,
prohojiy [21]
Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000  (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
f(-0.1) = -(1/(-0.1)^3) = -(1/-0.001) = 1/0.001 = 1000 (positive, bigger than the last one)
f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)

It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1. 

I guess A would be the best answer?

3 0
3 years ago
John makes a commission of 2% when he sells a house. How much will John make in commission if he sells a house for $300,000?
Anuta_ua [19.1K]

Answer: As a result of his company being able to sell a house of $300,000, John will earn a commission of $6,000.

When John sells a house, he gets a commission of 2% out of the selling price of that house.

If a house sells for $300,000 therefore, John will earn a commission of:

= Selling price of house x John's commission

= 300,000 x 2%

= $6,000

In conclusion, John will make a commission of $6,000.

Step-by-step explanation:

4 0
3 years ago
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