Answer:
f = - 
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- 
= k
f = - m ← equation of variation
When m = 2 , then
f = - × 2 = -
Answer:
<em>Equation; y = - x + 3</em>
Step-by-step explanation:
To determine the equation, let us first determine the slope of the line, through the equation ( y2 - y1 ) / ( x2 - x1 ), in this case where y2 ⇒ 1, y1 ⇒ 5, x2 ⇒ 2, and x1 ⇒ -2;
( 1 - 5 ) / ( 2 - ( - 2 ) ) ⇒ Simplify,
( - 4 ) / ( 4 ),
<em>Slope; - 1</em>
Now that we have the slope, let us substitute this known value into the point - slope equation in the following form;
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
( So far we have ) y = - x + b,
Let us solve for the value of b in y = - x + b by substituting one of the points, say ( 2 , 1 ) where x ⇒ 2, and y ⇒ 1;
( 1 ) = - ( 2 ) + b,
1 = - 2 + b,
b = 3;
<em>Equation; y = - x + 3</em>
The greatest common factor (GCF) of 40 and 44 is 4.
Explanation:
44 = 4 x 11
40 = 4 x 10
<em>44 + 40 =</em><span> (4 x 11) plus (4 x10) = </span><em>4 times (11+ 10)</em>
Answer:
The coordinates of point B (-6, -1)
X - the number of days;
20 + 3 x = 12 + 5 x
20 - 12 = 5 x - 3 x
8 = 2 x
x = 8 : 2
x = 4
Answer: After 4 days they will have the same amount of money.
Alex : 20 + 4*3 = 20 + 12 = $32
Ellen: 12 + 4 * 5 = 12 + 20 = $32
