Answer:
answer is c
Step-by-step explanation:
3/2 + b = 7/4
First rewrite 3/2 to have the same denominator as 7/4:
3/2 x 2 = 6/4
Now you have 6/4 + b = 7/4
To find b subtract 6/4 from 7/4:
b = 7/4 - 6/4
b = 1/4
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
Lowest common denominator for 3,4,6 is 12
5/6 = 10/12
1/4 = 3/12
2/3 = 8/12
a)
10/12 + 3/12 = 13/12 = 1 1/12
So you need to use first and second cables
b)
3/12 + 8/12 = 11/12
To reach 1 yard Carl need 1/12 yard cable
Step-by-step explanation:
the second and the 6th options keep the same graph but shift it to the left.
the other options :
the first option changes the graph (the factor -2 stretched and flips the graph).
the third and the 5th options shift the graph up and down. but not to the left.
the 4th option shifts it to the right.
when you add a constant inside the x terms, you shift to the left.
when you subtract a constant inside the x terms, you shift to the right.
e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.
in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.
