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Pavlova-9 [17]
3 years ago
10

Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

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

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Answer:

A number is added to fifteen

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The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
Nady [450]

Answer:

<em>9.3 + b = 14.5</em>

Step-by-step explanation:

We are learning about perimeter.

Look for the formula of the perimeter,

P = a + b + c

The question states "The longest side is twice that of the shortest side."

A is the longest side while b is the shortest side.

The shortest side equation would be found below :

6.2 = 2c

c = 3.1

Making a completion of the longest side :

14.5 = 6.2 + 3.1 + b

14.5 + 9.3 + b

3 0
3 years ago
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What is the solution to the equation 2/3 x + 1 = 1/6 x -7
slamgirl [31]

Answer:

x = -16

Step-by-step explanation:

2/3 x + 1 = 1/6 x -7

Multiply both sides of the equation by 6 to eliminate the fraction

6*(2/3 x + 1) =6( 1/6 x -7)

4x +6 = x -42

Subtract x from each side

4x-x +6 = -42

3x +6= - 42

Subtract 6 from each side

3x+6-6 = -42-6

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3x/3 = -48/3

x = -16

3 0
3 years ago
Anyone think they can solve this for me? ^^ Thank you so much!
dezoksy [38]
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6 0
3 years ago
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Matt Walker is paid weekly and earns a 3.5% straight commission on sales of $6,500 or less and 5% on sales in excess of $6,500.
Mumz [18]
His sales were $7558.82.

Let x be the amount of sales greater than 6500.  He earns 5% commission on these sales, which we represent as 0.05x.

Since he earns 3.5% on sales less than or equal to 6500, we can represent this as 0.035(x-6500).

Together, his commission was 415:
0.05x+0.035(x-6500) = 415

Using the distributive property, we have
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0.05x + 0.035x - 227.5 = 415

Combining like terms gives us
0.085x - 227.5 = 415

Add 227.5 to both sides:
0.085x - 227.5 + 227.5 = 415 + 227.5
0.085x = 642.5

Divide both sides by 0.085:
0.085x/0.085 = 642.5/0.085
x = 7558.82
6 0
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