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2 years ago

Find a quadratic polynomial whose sum and and product is -7 and -2

Mathematics

1 answer:

vampirchik [111]2 years ago

3 0

Answer:

Step-by-step explanation:

The general form of a quadratic equation with roots a and b is expressed as shown;

x²-(sum of root) x + (product of roots) = 0

x² - (a+b)x + ab = 0 ... 1

Given the sum of roots a+b = -7

Product of roots ab = -2

Substituting this values in equation 1 above wil give;

x²-(-7)x+(-2) = 0

x²+7x-2 = 0

The resulting quadratic polynomial is x²+7x-2 = 0

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4267 divided by 31 in mixed number form

Rainbow [258]

Mixed Number Form:
<span>137 </span> $\frac{20}{31}$

8 0

2 years ago

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

6 0

2 years ago

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

Pani-rosa [81]

Answer

1/2 and -4/3

Step-by-step explanation:

7 0

2 years ago

If f(x) = 5x + 4, which of the following is the inverse of (fx)?

lys-0071 [83]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

$\frac{y-4}{5}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x-4}{5}$

3 0

3 years ago

Which graph represents the function f(x) = 2 · 4^x ?

NARA [144]

Answer:

The fisrt one were it almost hits 3

Step-by-step explanation:

7 0

2 years ago