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Mashutka [201]
3 years ago
14

Which is the graph of parent function f(x)=2^x

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0

Option D is the correct answer

navik [9.2K]3 years ago
3 0

Answer:

Graph D

Step-by-step explanation:

f(x)= 2^x

Given f(x) is a exponential function

The graph (a) is a graph of an absolute function because we have V shaped graph

The graph (b) is the graph of a line so it is a graph of a linear function

The graph (c) is a U shaped graph. U shaped graph is a graph of a quadratic function.

The graph (d) is a curve shaped graph. It is a graph of an exponential function.

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Find a third-degree polynomial equation with rational coefficients that has roots -4 and 6 + i.
dolphi86 [110]

Answer:

x³ - 8x² - 11x + 148

Step-by-step explanation:

Given that x = 6 + i is a root then x = 6 - i is also a root

Complex roots occur as conjugate pairs.

The factors are therefore (x - (6 + i)) and(x - (6 - i))

Given x = - 4 is a root then (x + 4) is a factor

The polynomial is the product of the factors, that is

p(x) = (x + 4)(x - (6 + i))(x - (6 - i))

      = (x + 4)(x - 6 - i)(x - 6 + i)

      = (x + 4)((x - 6)² - i²)

      = (x + 4)(x² - 12x + 36 + 1)

      = (x + 4)(x² - 12x + 37) ← distribute

      = x³ + 4x² - 12x² - 48x + 37x + 148

      = x³ - 8x² - 11x + 148

 

3 0
3 years ago
What is 2 3/8 as an improper fraction?<br><br> Give answers, please.
m_a_m_a [10]

To convert a mixed fraction into an improper fraction, we must follow some steps.

First, we take the whole part and multiply it by the denominator of the fraction.

In this case, we take 2 and multiply it by 8.

Now we add the numerator:

16+3=19

The denominator stays the same:

\frac{19}{8}

Hope it helps! :)

3 0
3 years ago
Simplify The Expression 16(1/2x)^4
Bond [772]
16(1/2x)^4
Answer: X^4
8 0
3 years ago
What is four blank four blank four equals 4
attashe74 [19]
4 - 4 + 4 = 4.
four minus for plus four equals four.
3 0
3 years ago
An item is regularly priced at $40 . Milan bought it at a discount of 45% off the regular price. How much did Milan pay?
maw [93]
45%=.45
40*.45=18
40-18=22
8 0
3 years ago
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