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2 years ago

5

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for

this function? f(x) has two real roots and one complex root. f(x) has two complex roots and one real root. f(x) has three complex roots. f(x) has three real roots.

2 answers:

Marat540 [252]2 years ago

8 0

Answer:

B.

Step-by-step explanation:

f(x) has two complex roots and one real root.

ioda2 years ago

4 0

Answer:

Option 'B' is the answer

Step-by-step explanation:

I got it right on edge 2020

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If a swimming pool is being filled at a rate of 1 liter per second, how long will it take in minutes to fill a 6,000 liter pool?

stellarik [79]

1 minute = About 60 Liters
60 x 100 = 6000
6000 ÷ 60 = 100

100 minutes at 1 L per second.

3 0

3 years ago

Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximu

gregori [183]

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$\frac{-13}{-4}=\frac{-4a}{-4}$

$\frac{13}{4}=a$

Therefore, the equation $y=-(\frac{13}{4})(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-(\frac{13}{4})(x-2)^2+18$

$0-18=-(\frac{13}{4})(x-2)^2+18-18$

$0-18=-(\frac{13}{4})(x-2)^2$

$-18*(\frac{4}{13})=-(x-2)^2$

$\frac{72}{13}=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{\frac{72}{13}}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

7 0

3 years ago

For a health assignment, Janet and Kate record how many students wear glasses in each of their classes. In Janet's class, 15 out

prohojiy [21]

Answer:

There are equal ratios

Step-by-step explanation:

100/25=4 and 15x4 is 60

100/20=5 and 12x5 is also 60

5 0

3 years ago

Read 2 more answers

What is the upper bound and lower bound for 35.7

stepladder [879]

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

some examples for u..

Mark me the Brainliest..PLS

7 0

3 years ago

Carolyn flips a coin 20 times and writes down the results of each flip. Is this event independent or dependent? Explain.

Alex

Answer:

Dep

Step-by-step explanation:

I guess Dep., Because Depending on which side it lands Is the outcome.

8 0

3 years ago