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algol13
3 years ago
5

What is the quotient when −3x3 + 5x + 14 is divided by x − 2?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
6 0
The answer is A. -3x2 - 6x - 7
Anika [276]3 years ago
6 0

Answer:

-3x^{2} -6x-7

Step-by-step explanation:

The given expression is :

\frac{-3x^{3}+5x+14}{x-2}

Factoring -3x^{3}+5x+14

Factor out common term -1

3x^{3}-5x-14

Now dividing leading coefficients of numerator and divisor.

\frac{3x^{3}}{x}=3x^{2}

Multiplying x-2 with 3x^{2} = 3x^{3}-6x^{2}

Subtracting 3x^{3}-6x^{2} from 3x^{3}-5x-14

we get 6x^{2} -5x-4

Therefore, \frac{-3x^{3}+5x+14}{x-2} = 3x^{2} +\frac{6x^{2}-5x-14}{x-2}

Now repeating these same steps until (x-2) is factored out, we get the quotient as :

-3x^{2} -6x-7

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Wittaler [7]
The answer is actually 3 and 4.

\sqrt{7} lies between the two consecutive numbers 3 and 4.

I hope this helped! :))
5 0
3 years ago
Draw 6 circles.<br> Make 3 groups.<br> Shade 1 group.
krek1111 [17]

Answer:

ummm I think this is obvious

Step-by-step explanation:

2 circles in each group, shade in one group of 2.

7 0
3 years ago
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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i
ahrayia [7]

Answer:

42.25 feet

Step-by-step explanation:

The height function is a parabola.  The maximum value of a negative parabola is at the vertex, which can be found with:

x = -b/2a

where a and b are the coefficients in y = ax² + bx + c.

Here, we have y = -16t² + 52t.  So a = -16 and b = 52.  The vertex is at:

t = -52 / (2×-16)

t = 13/8

Evaluating the function:

h(13/8) = -16(13/8)² + 52(13/8)

h(13/8) = -169/4 + 169/2

h(13/8) = 169/4

h(13/8) = 42.25

7 0
3 years ago
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Given f(x)=2a^2b+3a^3b^2+2a^2b^4 what is the degree?
lilavasa [31]
We have the following function:
 f (x) = 2a ^ 2b + 3a ^ 3b ^ 2 + 2a ^ 2b ^ 4
 We note that the function depends on x because it is f (x).
 However, there is no variable x in the function.
 Therefore we can assume that the function is constant, since:
 a = constant
 b = constant
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The function is zero degree.
7 0
3 years ago
0.3(n-5)=0.4-0.2 solve for n!
mariarad [96]

Answer:

n = 5.67

Step-by-step explanation:

0.3(n-5)=0.4-0.2

0.3(n-5) = 0.2

Dividing 0.3 both side

\frac{0.3(n-5) }{0.3}  = \frac{0.2}{0.3}

n-5 = 0.67

n = 0.67+5

n = 5.67

4 0
3 years ago
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