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3 years ago

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed.

1 answer:

Volgvan3 years ago

8 0

For roots r1 and r2, the factors are (x-r1)(x-r2)

r1=i
r2=-i
don't forget i^2=-1

(x-i)(x-(-i))=(x-i)(x+i)=x^2-i^2=x^2-(-1)=x^2+1

the function is
f(x)=x^2+1

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In the graph above, what's the distance between (-1,-4) and (-1,5)?

nignag [31]

B) 9 units because they have the same x value meaning you just count the spaces so 5 to 0 and 0 to -4 so 9 units, you can’t have negative units away

3 0

3 years ago

You sell tickets at school for fundraisers. You sold car wash tickets, silly string fight tickets and dance tickets – for a tota

yulyashka [42]

Answer:

11 dance tickets were sold. ( approx )

Step-by-step explanation:

Let x represents the number of car wash tickets, y represents the number of silly string fight tickets and z represents number of dance tickets,

Total tickets = 380,

⇒ x + y + z = 380 -----(1),

The car wash tickets were $5 each, the silly string fight tickets were $3 each and the dance tickets were $10 each, also total cost is $1460,

⇒ 5x + 3y + 10z = 1460 ----(2)

Also, there are twice as many silly string tickets as car wash tickets,

⇒ y = 2x -----(3)

From equation (1) and (2),

x + 2x + z = 380 ⇒ 3x + z = 380 -----(4)

5x + 3(2x) + 10z = 1460 ⇒ 11x + 10z = 1460 ------(5)

For finding the value of z,

3 × equation (5) - 11 × equation (4),

We get,

30z - 11z = 4380 - 4180

19z = 200

z = 10.5263157895 ≈ 11

Hence, 11 dance tickets were sold.

3 0

3 years ago

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

Ne4ueva [31]

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

$Area=\frac{(a+b)}{2} \times c$

$Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6$

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

#SPJ1

5 0

2 years ago

An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili

victus00 [196]

Answer:

0.79

Step-by-step explanation:

Here,

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

7 0

3 years ago

How many atoms in something determines it

Citrus2011 [14]

The chemical formula for water is H2O which means that every molecule of water has 2 atoms of hydrogen (H) and one atom of oxygen (O). Here comes the key part. From the Periodic Table of Elements, one sees that one mole of hydrogen atoms weighs 1 gram while one mole of oxygen atoms weighs 16 grams.

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3 years ago