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amid [387]
3 years ago
13

How many roots does the graph polynomial function have?

Mathematics
2 answers:
lisov135 [29]3 years ago
6 0
The graph crosses the x axis 3 times so there are 3 roots.

B
sergejj [24]3 years ago
3 0

Answer:

The number of roots of the graph is 3

B is correct.

Step-by-step explanation:

We are given a graph of polynomial.

Graph start from negative infinity and end at positive infinity.

The degree of polynomial must be odd.

In graph, we can see it cuts at three points

(-6,0)    (-2,0)    (-1,0)

This graph has three x-intercept.

Number of x-intercept is equivalent to real roots of the polynomial.

This graph is cubic polynomial because it has three x-intercept.

Hence, The number of roots of the graph is 3

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If f(x) = 6x – 4, what is f(x) when x = 8?Which represents where f(x) = g(x)?
Alexxx [7]
F(x) = 44 as for having 8 as x

7 0
3 years ago
Read 2 more answers
Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later
sergejj [24]

Answer:

  (y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

  (x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

  (x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0
3 years ago
Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li
agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours? 

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0
2 years ago
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Elena-2011 [213]

Answer:

probability is 9

Step-by-step explanation:

4 0
3 years ago
If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
1 year ago
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