Answer:
(4x + 7) or
(16x^2 - 28x + 49)
Step-by-step explanation:
This is the sum of cubes. If you have choices you really should list them because often the way we write answers is not in agreement with what you are given.
Step One
Factor 64x^3 and 343 into prime factors.
64x^3: 4*4*4*x * x *x
343: 7 * 7 * 7
Step Two
Factor using the sum of cubes.
(4x + 7)([4x]^2 - 7*4x + 7^2)
(4x + 7)(16x^2 - 28x + 49)
Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
<span>33 / 75=0</span>.44 is the answer
Answer: x = 17 
Step-by-step explanation:
From the question: y α x
⇒ y = kx
y=4 and x = 10 implies
4 = 10k
k = 4/10
k = 2/5
substitute k = 2/5 into the equation
y = 2/5 x
When y = 7 , the equation becomes
7 = 
35 = 2x
35/2 =x
Therefore : 17
x =
Answer:
y= 1.2x+1
Step-by-step explanation:
(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1
double check:
y = 1.2(-5) + 1
y = -6 + 1
y = -5
coordinates : (-5,-5)
