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ehidna [41]
2 years ago
14

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3

Mathematics
1 answer:
Irina-Kira [14]2 years ago
3 0

This is about interpretation of graphs.

Option C is correct.

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

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Graph the following equation: y=2x+1
dybincka [34]

Answer:

There you go

Step-by-step explanation:

3 0
3 years ago
Solve 5(2^x+4)=15 round to the nearest thousandth
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3            

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093               Add 4 to both sides

x = -3.369                        Rounded to the nearest thousandth

====================

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

5 0
3 years ago
A Company increased the number of its employees from 340 to 425. Find the percent increase.
Inessa [10]
25%

Because You must do the original number by the new.

so, 425-340= 85

but ur not done now,

divide that 85 by the original number then times by 100!

85/340= .25*100= 25%

and ur done hope this helped
8 0
3 years ago
Mr. Saba owns two food trucks. He rents two spots at the state fair. This table shows the number of tacos the two food trucks so
Nadya [2.5K]
Using the data for each truck lets calculate, 

median for truck 1 - 511.5
median for truck 2 - 650.5

lets consider each statement 
A.medians for both trucks are the same - wrong 
median for 1 and 2 are 511.5 and 650.5 respectively 

B. the two trucks sold most number of tacos on 3rd day 
truck 1 sold 437 on day 3 but highest number it sold was 721 on day 1
truck 2 sold 426 on day 3 but highest number was 732 on day 6
therefore this statement too is wrong 

C.
truck 1 - range between maximum(721) and minimum(425) = 296
truck 2 - maximum (732) and minimum (426) difference = 306
the range between maximum and minimum in truck 2 is 306 thats greater than range between maximum and minimum in truck 1, that's 296
therefore this statement is correct

D.
total number of tacos for each truck - 
truck 1 - 5291
truck 2 - 6107
food truck 1 sold less than truck 2 therefore this statement too is wrong 
5 0
3 years ago
Read 2 more answers
Identify the law illustrated by: 5n x 1 is the same as 5n
tangare [24]

<u><em>The law illustrated is Distributive Law</em></u>

This question is under a topic called algebra laws.

The laws are;

- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.

- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.

- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.

We are told in the question that ; 5n x 1 = 5n

This means that 5n and 1 are factors of 5n and this corresponds to distributive law

Read more at; brainly.in/question/39479409?tbs_match=1

7 0
2 years ago
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