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Sonbull [250]
3 years ago
9

Which type of equation would best model the data shown?

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0
I have to say <span>C. Exponential</span>
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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
3 years ago
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brai
Artemon [7]

Answer:

  • 1) y = 13.5x + 1
  • 2) y = 12x + 4
  • 3) Sam won the race

Step-by-step explanation:

<h3>Part 1</h3>

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

  • y = 13.5x + 1
<h3>Part 2</h3>

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

  • y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>

<u>After 15 seconds the distance from the start line is:</u>

  • Sam   ⇒ y = 13.5*15 + 1 = 203.5 ft
  • Alice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

5 0
2 years ago
Fill out the ratio table boys 20 and girls 120
Gennadij [26K]

Answer:6

Step-by-step explanation:

You will divide 120/20

5 0
3 years ago
300 is 10 times as much as what. please help me
Arlecino [84]
300 is 10 times as much as 30.
because if you do 30 x 10 you get 300
7 0
3 years ago
Read 2 more answers
Which problem solving strategy would be best to solve this problem?
g100num [7]

Answer:

A.

Step-by-step explanation:

You should be tracking your work so that you can find a pattern within the graph to correctly write the next answer.

5 0
2 years ago
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