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Morgarella [4.7K]
3 years ago
8

Let f(x)=81+3e−0.7x .

Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0
9.25
this is your answer
KiRa [710]3 years ago
5 0

Answer:

f(-3)=91.25

Step-by-step explanation:

Given :f(x)=81+3e−0.7x

To Find: Value of f(−3)

Solution:

f(x)=81+3e−0.7x

Putting x = -3

f(-3)=81+3e−0.7*(-3)

f(-3)=81+3e+2.1

f(-3)=83.1+3e

Since the defined value of e = 2.718

⇒f(-3)=83.1+3*(2.718)

⇒f(-3)=83.1+8.154

⇒f(-3)=91.25

Thus the value of f(-3)=91.25

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Answer:

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Relation 3: Function

Relation 4: Not a Function

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3 0
3 years ago
Determine if line AB is tangent to the circle.
galina1969 [7]

Answer:

<em>Is a tangent</em>

Step-by-step explanation:

<em>* Great question by the way *</em>

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

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7 0
3 years ago
The speed of light in a vacuum is 299,792,458 meters per second. Which number written in scientific notation is the best approxi
AfilCa [17]

We don't see the choices but the answer will be something like

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5 0
4 years ago
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vlabodo [156]

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Step-by-step explanation:

(4x * 4x * 4) * (4x * 4x * 4 )

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hope this helped a little

* = multiply

3 0
3 years ago
For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? (5 points) Up
IgorC [24]

Answer:

5 units to the right.

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