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zepelin [54]
3 years ago
15

F(x)=(1.07)^

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0
F(x ) = 1.07^x
Is an exponential growth function of 7%
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I keep getting (10,5) or (0,5) someone pls help
rodikova [14]

Answer:

(4,-3)

Step-by-step explanation:

Multiplying the bottom equation by -6, we get -6x+12y=-60.

Adding this to the first equation gives 15y=-45, and thus y=-3.

So, it follows that 6x+3(-3)=15, and thus x=4.

4 0
2 years ago
the sum of three numbers is 63. The first number is twice the second number, and the third number is three times the first numbe
HACTEHA [7]

Answer:

Step-by-step explanation:

2x+x+3(2x)=63

3x+6x=63

9x=63

9x/9=63/9

X=7

2x=14

3(2x)=42

3 0
3 years ago
A bucket has 16 inches of water in it but there is a hole in the bottom. Use interval notation to write the domain and range of
Dennis_Churaev [7]

Answer: range:  {0in, 16in}

               domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

The range is the set of possible values of y and the domain is the set of all the possible values of x.

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

       0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y  = 0 = 16 - 1.25*x

      1.25*x = 16

            x  = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

5 0
3 years ago
The sum of an acute angle and an obtuse angle is an acute angle always sometimes or never true ???​
xxTIMURxx [149]

Answer:

Never

Step-by-step explanation:

Adding together an obtuse angle (greater than 90°) and acute angle (less than 90°) should result in an obtuse angle every time

6 0
3 years ago
Read 2 more answers
If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
dezoksy [38]

Answer:

  • See below

Step-by-step explanation:

<u>This a form of the proportional relationship:</u>

  • f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of items

<u>We have:</u>

  • f(5) = 12

<u>It means:</u>

  • Total cost of 5 cupcakes is $12
5 0
2 years ago
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