Answer:
option-A

Step-by-step explanation:
we are given
divisor is

Dividend is
=x-2
so, we can use synthetic division
so, we can write our expression as

so,
option-A
56 / 4 = 14
4 can go into 56 on 14 times...
It's adding 7 each time. So...
5, 12, 19, 26, 33, 40, 47, 54, 61, 68, 75, and
82
Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (y - 4)(y - 8) → B
Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g