HELP PLEASE ASAPPP !!

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

What's the slope and y-intercept of the equation 3x + 4y = 8?

Anna71 [15]

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

$3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2$

6 0

3 years ago

Read 2 more answers

Multiply: (-3x - 6)(3x2 - 6x + 3)

VladimirAG [237]

-9 • (x + 2) • (x - 1)2

8 0

3 years ago

Read 2 more answers

A student is making a project that requires a large triangular base. The student has two pieces of wood that are 20in and 17in l

IRISSAK [1]

Answer:

Write a short story about a character who experiences a turning point in life. Use this Writing Plan/Graphic Organizer below to format (construct) your story. It must also be submitted with your short story and I will issue you two separate grades (one for the organizer one for the write-up).

Start with a writing plan (organizer)

1. Title - Your choice

2. Audience - Classmates and teacher

3. Theme - Your choice

4. Purpose - To entertain, share insight

5. Time Frame - Start today and due on 11-7-20 at 11:59 pm

6. Beginning - Introduce characters etc.

7. Middle - Turning point

8. End - Resolution

Use a minimum 150 words

Step-by-step explanation:

Write a short story about a character who experiences a turning point in life. Use this Writing Plan/Graphic Organizer below to format (construct) your story. It must also be submitted with your short story and I will issue you two separate grades (one for the organizer one for the write-up).

Start with a writing plan (organizer)

1. Title - Your choice

2. Audience - Classmates and teacher

3. Theme - Your choice

4. Purpose - To entertain, share insight

5. Time Frame - Start today and due on 11-7-20 at 11:59 pm

6. Beginning - Introduce characters etc.

7. Middle - Turning point

8. End - Resolution

Use a minimum 150 words

7 0

3 years ago

'Quiz: Math Review Quiz

pentagon [3]

Answer:

The tax rate is 4.3%

Step-by-step explanation:

First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.

Then, 100%/x%=2.27/0.12 and that gives us 4.3%!

Hope this helps.

8 0

3 years ago