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romanna [79]
2 years ago
5

Please help asap What is the sum of the following two polynomials? (3x2 – 5x + 3) and (-x2 – 3x)

Mathematics
2 answers:
Gnesinka [82]2 years ago
8 0

Answer:

2x² - 8x + 3

Step-by-step explanation:

( 3x² - 5x +3) + (-x² - 3x)

= 3x² - 5x +3 - x² - 3x

= 3x² - x² - 5x - 3x + 3

= 2x² - 8x + 3

Anton [14]2 years ago
4 0
(3x^2 - 5x +3) + (-2x -3x)
=3x^2-5x+3 + (6x^2)
=9x^2-5x+3
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Secants BE and CF intersect at point D inside A. What is the measure of CDE?
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<CDE = 120

answer
<CDE = 120°
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Step-by-step explanation:

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-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

Part 2) The range is the interval  (-∞,1]

Step-by-step explanation:

we have

f(x)=-x^2+14x-48

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

The range is the interval

(-∞,k]

Find the vertex

f(x)=-x^2+14x-48

Factor -1 the leading coefficient

f(x)=-(x^2-14x)-48

Complete the square

f(x)=-(x^2-14x+49)-48+49

f(x)=-(x^2-14x+49)+1

Rewrite as perfect squares

f(x)=-(x-7)^2+1

The vertex is the point (7,1)

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