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3 years ago

9

Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?

1 answer:

tresset_1 [31]3 years ago

4 0

Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15

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Use a benchmark to find an equivalent percent for each fraction. 9/10 and 2/5. Please help! :o will mark brainliest if can!

denpristay [2]

Answer

9/10=<u>90%</u> and 2/5=<u>40%</u>

Explanation

9÷10=0.9 0.9x100=90%

2÷5=0.4 0.4x100=40%

<em>hope this helps!</em>

<em>have a wonderful day :)</em>

3 0

3 years ago

I have nooooo clue, please help

Aleksandr-060686 [28]

Answer:

case a) $x^{2}=3y$ ----> open up

case b) $x^{2}=-10y$ ----> open down

case c) $y^{2}=-2x$ ----> open left

case d) $y^{2}=6x$ ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

$x=a(y-k)^{2}+h$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

$x^{2}=3y$

so

$y=(1/3)x^{2}$

$a=(1/3)$

so

$a>0$

therefore

The parabola open up

case b) we have

$x^{2}=-10y$

so

$y=-(1/10)x^{2}$

$a=-(1/10)$

$a$

therefore

The parabola open down

case c) we have

$y^{2}=-2x$

so

$x=-(1/2)y^{2}$

$a=-(1/2)$

$a$

therefore

The parabola open to the left

case d) we have

$y^{2}=6x$

so

$x=(1/6)y^{2}$

$a=(1/6)$

$a>0$

therefore

The parabola open to the right

3 0

3 years ago

Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark

bazaltina [42]

Answer:

3

Step-by-step explanation:

because 3x3= 9 and 4x3=12 and 5x3=15

5 0

2 years ago

A bicycle tire has a radius of 13.25 inches. How far will the bicycle travel in 40 rotations of the tire?

Effectus [21]

Answer:

it will travel 69 feet on the bike

Step-by-step explanation:

8 0

3 years ago

The temperature in Minneapolis was -9°F. The next day, the temperature was warmer than -9°F.

Dimas [21]

Answer:

The temperature in Minneapolis was -9°F. The next day, the temperature was warmer than -9°F.

let increased temperature be x

temperature of next day = -9°f +x

4 0

2 years ago