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Svetllana [295]
3 years ago
7

Express your answer as a polynomial in standard form.

Mathematics
2 answers:
NikAS [45]3 years ago
3 0

Answer:

x² + 16x + 64

Step-by-step explanation:

To find f(g(x)) , substitute x = g(x) into f(x), that is

f(x + 7)

= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL

= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms

= x² + 16x + 64

Firdavs [7]3 years ago
3 0
It’s b because i love how they say it my love
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For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

  • The initial value is b = 14500.
  • The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

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1 year ago
A triangle has side lengths of (10x + 7y) centimeters, (3x + 3z) centimeters, and (8z +10y) centimeters. Which expression repres
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Step-by-step explanation:

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The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat
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The true statements is the population was 4800 when the collection of data began. (3rd option)

<h3>What is an exponential function?</h3>

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = e^{x}

Where:

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When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

FV = PV (1 + r)^n

Where:

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Given this exponential equation : f(x) = 4800 (1.02)^t

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