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SVETLANKA909090 [29]
2 years ago
7

Explain why the initial value of any function of the formf(x) = a(b) is equal to a.​

Mathematics
1 answer:
Fynjy0 [20]2 years ago
4 0

Answer:

The answer in the procedure

Step-by-step explanation:

we have

f(x)=a(b)^{x}

This is a exponential function

where

a is the initial value

b is the base

we know that

The initial value of the function is the value of f(x) when the value of x is equal to zero

substitute x=0 in the function

f(0)=a(b)^{0}

Remember that any number to the zero power is one

so

(b)^{0}=1

substitute

f(0)=a*1=a

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Can anyone identify the two variables
valentina_108 [34]
The two variables are time (x) and distance (y)

And the answer is they will meet after 1 mile

The function of the aunt and uncle is y=25x+5

The function of yourself is y2=30x

Since you want to know when you’ll meet, you just resolve y=y2 or 25x+5=30x

Wich will be x=1 so 1 mile
8 0
2 years ago
How do I do 3? Thanks a bunch
Nataly_w [17]
A does

Hope that helps!


5 0
3 years ago
What transformation was not done to the linear parent function, f(x) = x, to
Butoxors [25]

Answer:

C.

Step-by-step explanation:

The function shifted <em>left</em> five units instead of <em>right</em> five units.

There's no vertical compression in the equation provided, but that's probably just a typo since there's a random bracket that I assume was supposed to be a fraction.

7 0
2 years ago
Can someone help me plzzzz
PSYCHO15rus [73]

Answer:

279 feet

Step-by-step explanation:

To find x, we solve using the Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = 64°

Length of the shadow = Adjacent = 136 feet

Height of the building = Opposite = h

Hence,

tan 64 = h/136 feet

Cross Multiply

h = tan 64 × 136 feet

h = 278.84132245 feet

Approximately, h to the nearest foot ≈ 279 feet

Therefore, the height of the building = 279 feet

8 0
2 years ago
A company is setting up offices in two different cities. The number of employees hired by the company for its office in city A o
labwork [276]
For this case we have the following functions:
 City A:
 f (x) = 9x
 City B:
 g (x) = 3 (2) ^ x
 The total number of employees will be:
 h (x) = f (x) + g (x)
 Substituting we have:
 h (x) = 9x + 3 (2) ^ x
 Rewriting we have:
 h (x) = 3 (3x + (2) ^ x)
 For 5 months we have:
 h (5) = 3 * (3 * (5) + (2) ^ 5)
 h (5) = 141
 Answer:
 the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
 h (x) = 3 (3x + (2)^x); 5 months
3 0
3 years ago
Read 2 more answers
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