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pantera1 [17]
4 years ago
6

F (x) = -3x+5x^2+8 has blank roots.

Mathematics
1 answer:
defon4 years ago
7 0

Answer:

F (x) = -3x+5x^2+8 has complex roots.

Step-by-step explanation:

number of roots?

ok.

f(x) =   5xx - 3x + 8  =   5xx + 5x  - 8x  + 8   ( I was guessing what numbers would sum to -3)

nope.

ok try discriminant:    (-3)^2 - 4*5 * 8 =   9 - 160  < 0

2 complex roots

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Area= 7 1/4 x 11 2/3
Vesna [10]

Answer:

Area=84.5833333333

Step-by-step explanation:

7 0
3 years ago
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A restaurant charges $5.00 for a slice of pizza that is 1/3 of a pizza and $4.50 for a slice that is 1/5 of a pizza. One day the
katrin [286]

Answer:

<h3>5ths</h3>

Step-by-step explanation:

Given that:

  • Price of whole pizza (A) = 5 × 3 = $15
  • Price of whole pizza (B) = 4.50 × 5 = $22.50

They make 8 whole pizzas.

Therefore

  • Thirds (A) = 15 × 8 = $120
  • Fifths (B) = 22.50 × 8 = $180

They'll make more money if they slice it into fifths.

180 - 120 = $60

Because if they slice it into thirds, total profit will be $60 less

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7 0
2 years ago
A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 122 degrees, what does ADC measures
iren2701 [21]

Answer:

61°

Step-by-step explanation:

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

5 0
4 years ago
Drag the expressions into the boxes to correctly complete the table.
lora16 [44]

Answer:

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form ax^n.

Here:

n = non-negative integer

a = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

x^4+\frac{5}{x^3}-\sqrt{x}+8

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains \sqrt{x}, so it is not a polynomial.

Also it contains the term \frac{5}{x^3} which can be written as 5x^{-3}, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression x^4+\frac{5}{x^3}-\sqrt{x}+8 is not a polynomial.

Given the expression

-x^5+7x-\frac{1}{2}x^2+9

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

\left|x\right|^2+4\sqrt{x}-2

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

x^3-4x-3

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

\frac{4}{x^2-4x+3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

3 0
3 years ago
When juggling a ball travels in a complete circle every 10 seconds how many circle does it make in a minute.Please Help and expl
WITCHER [35]

Answer:

It make 6 circles in a minute.

Step-by-step explanation:

Given:

a ball travels in a complete circle every 10 seconds

i.e

one complete circle = time taken 10 seconds.

Two complete circle = time taken 20 seconds.

Three complete circle = time taken 30 seconds.

Four complete circle = time taken 40 seconds.

Five complete circle = time taken 50 seconds.

Six complete circle = time taken 60 seconds.

60 seconds =  one minute.

∴ Six complete circle  in one minute.

8 0
3 years ago
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