Mathematics, 03.08.2019 13:00, snikergrace

Given: p: 2x = 16 q: 3x – 4 = 20 which is the converse of p → q? if 2x ≠ 16, then 3x – 4 ≠ 20. if 3x – 4 ≠ 20, then 2x ≠ 16. if 2x = 16, then 3x – 4 = 20. if 3x – 4 = 20, then 2x = 16.

Answers: 2

Show answers

Answers

answered: jj1077348

If 3x-4 = 20 then 2x=16 that is Option 4

Explanation:

converse of p $\Rightarrow$ q

is q $\Rightarrow$ p

that means in given question we have If 2x=16 then 3x -4 =20

its converse will be If 3x-4=20 then 2x=16.

And p $\Rightarrow$ q is equivalent to $\sim q\Rightarrow \sim p$

Option 1 we have $\sim p\Rightarrow \sim q$ which is not the converse

Option 2 $\sim q\Rightarrow \sim p$ which is equivalent not converse.

Option 3 is p $\Rightarrow$ q which is not the converse of p $\Rightarrow$ q

answered: Guest

x= -3 and $x=\frac{-3+/-3i\sqrt{3} }{2}$

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

$(x^3-a^3)=$ $(x-a)(x^2+ax+a^2)$

where a is the cube root of $a^3$ .

here this is 27 and the cube root of 27 is 3. so we write using the form:

$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$ .

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

where a = 1, b=3, and c=9

$x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}$

this cubic has two complex roots.

answered: Guest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

Other questions on the subject: Mathematics

Mathematics, 20.06.2019 18:02, webbhlharryteach

During the 2012-2013 nba season, jamal crawford playing for the los angeles clippers, had a free throw percentage of 0.871. using complete sentences, describe the likelihood that he would make the free throw each time he stepped up to the line that season. explain your reasoning.

Answers: 2

continue

Mathematics, 21.06.2019 16:30, nick607

In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (1,-1), (2,0.5), (5,1.5), (8,2)

Answers: 2

continue

Mathematics, 21.06.2019 19:30, estherstlouis7812

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

Answers: 1

continue

Mathematics, 21.06.2019 22:30, ashleyrover11

(a. s."similarity in right triangles"solve for xa.) 10b.) 20c.) 14.5d.) [tex] 6\sqrt{3} [/tex]

Answers: 1

continue

Do you know the correct answer?

Given: p: 2x = 16 q: 3x – 4 = 20 which is the converse of p → q? if 2x ≠ 16, then 3x – 4 ≠ 20. i...