Answer:
see below
Step-by-step explanation:
20x^3+8x^2-30x-12
Factor out the greatest common factor 2
2 (10x^3+4x^2-15x-6)
Then factor by grouping
2 ( 10x^3+4x^2 -15x-6)
Factor out 2 x^2 from the first group and -3 from the second group
2 ( 2x^2( 5x+2) -3( 5x+2))
Factor out ( 5x+2)
2 ( 5x+2) (2x^2-3)
The 2 can go in either term to get binomials
( 10x +4) (2x^2-3)
or ( 5x+2) ( 4x^2 -6)
Answer:
3,4,5,6,..................any number bigger than 3 can be taken as the answer
Answer:
7.5 30
45 180
Step-by-step explanation:
The given line has x = 1.25 and y = 5.
y/x = 5/1.25 = 4
x is multiplied by 4 to get y since 1.25 * 4 = 5.
That means the equation is
y = 4x
For a proportional function, every value of x must be multiplied by 4 to get y.
x = 7.5
y = 4x = 4(7.5) = 30
7.5 30
We need to find the values for the last line.
11 * 4 = 44
There is no 44
13.75 * 4 = 55
There is no 55.
17.5 * 4 = 70
There is no 70
30 * 4 = 120
There is no 120.
45 * 4 = 180
There is a 180.
45 180
Answer:
7.5 30
45 180
Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
First find the slope using rise over run
0-1/5-0
-1/5
To get a perpendicular slope, find the negative reciprocal.
Reciprocal: -5/1
Negative of that: 5/1 or 5
The y intercept is 1 (0,1).
Plug the values into slope intercept
Final answer: y=5x+1
