Answer:
c = 75
Step-by-step explanation:
Add 6 to both sides: 2/5c = 30
Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2
c = 75
By remainder theorem:
f(x) = x³ - 2
factor, x - 1 = 0
x = 1,
Remainder = f(1)
f(x) = x³ - 2
f(1) = 1³ - 2 = 1 - 2 = -1.
Hence remainder is = -1.
QUESTION 1
The given binomial is;

First terms are multiplied: 
Outside terms are multiplied: 
Inside terms are multiplied: 
Last terms are Multiplied: 
This gives us;


QUESTION 2
We want to factor

The HCF is 
We factor to get;

QUESTION 3;

Split the middle term;

Factor




The solutions are;
and 
These are the x-intercepts of the graph of the function

(2x² + 7x + 10) - (x² + 2x - 9) =
2x² + 7x + 10 - x² - 2x + 9 =
x² + 5x + 19
Answer:
7kg of potatoes cost 56 R (dollars)
Step-by-step explanation:
First, we have to find the unit price of 1kg of potatoes. To do this we divide <em>24 by 3</em>. That's <em>8</em>. Each kg of potato costs 8 dollars.
Now, all we have to do is multiply <u><em>8 by 7</em></u>.
8 is the unit rate/kg and 7kg is the amount they are asking.
<u><em>8x7=56</em></u>
7kg of potatoes cost 56R