Answer:
Yes they ate Equivalent
Step-by-step explanation:
Given the expression
h(x) = - 3x – 1;j(x) = – 7x + 11 ; k(x) = 21.22 – 262 – 11
H(x)•j(x) = (-3x-1)(-7x+11)
H(x)•j(x) = (-3x)(-7x)-3x(11)-1(-7x)(-1)(11)
H(x)•j(x) = 21x²-33x+7x-11
H(x)•j(x) = 21x²-26x-11
This shows that H(x)•j(x) = k(x)
Answer:
Regular proof is all about known facts that is for e.g X must be true, while in indirect proof you assume X is true
Answer:
The solution for the system of equations is
x=2,y=−2
Explanation:
4x−3y=14.....equation (1)
y=−3x+4.....equation (2)
Solving by substitution
Substituting equation 2 in equation 1
4x−3⋅(−3x+4)=14
4x+9x−12=14
13x=14+12
13x=26
x=2
Finding y by substituting x in equation 1
4x−3y=14
4⋅2−3y=14
8−3y=14
8−14=3y
3y=−6
y=−2
It takes 1.5 hours for 4 workers to paint the same room
<em><u>Solution:</u></em>
Given that 3 workers can paint a room in 2 hours
To find: Time taken for 4 workers to paint the same room
Assume the time needed to paint the room is inversely proportional to the number of worker

Where, "k" is the constant of proportionality
<em><u>3 workers can paint a room in 2 hours</u></em>
Substitute number of workers = 3 and time = 2 hours

Therefore,

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

Thus it takes 1.5 hours for 4 workers to paint the same room
-8k+8m+5
I think this is the answer