A. True, 33/4 × 2/11 = 1,5$
b. False, 8.25÷5.5= 1.5$/kg
c) True
14.2 is the nearest tenth
Answer:
3x - 3
Step-by-step explanation:
(x + 4) + (2x - 7) =
The first step is to drop the parentheses since they are unnecessary.
= x + 4 + 2x - 7
Now group like terms together.
= x + 2x + 4 - 7
Combine like terms.
= 3x - 3
Z
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30
Part B;
Z
z=
Where x is a constant of proportionality,
when x=3, z=2
2=
a=3*2
a=6
When x is 13,
Z=
The Pyth. Thm. applies here:
(√x + 1)^2 + (2√x)^2 = (2√x + 1 )^2
Expanding the squares:
x + 2sqrt(x) + 1 + 4x = 4x + 4sqrt(x) + 1
Let's subtract x + 2sqrt(x) + 1 + 4x from both sides:
4x + 4sqrt(x) + 1
-(x + 2sqrt(x) + 1 + 4x)
-------------------------------
3x + 2sqrt(x) - 4x = 0
Then 2sqrt(x) = x
Squaring both sides, 4x = x^2, or x^2 - 4x = 0. Then (x-4)x = 0, and the two possible solutions are 0 and 4.
Check these results by substitution. Does the Pyth. Thm. hold true for x=4?