Answer:
Step-by-step explanation:
let x be the numerator of the rational number then 2x is the denominator
original fraction = 
subtracting 3 from numerator and adding 7 to denominator , gives
= 
( cross- multiply )
5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )
5x - 15 = 4x + 14 ( subtract 4x from both sides )
x - 15 = 14 ( add 15 to both sides )
x = 29
rational number =
(g+f) (3).
=16 hope this helps<3
Answer:
A and E
Step-by-step explanation:
The translation f(x) - 2 means to subtract 3 from the whole function. As an equation this is 3x - 2. On the graph, the function will shift down vertically 2 units.
Answer:
C) 0.4 x (2a - 0.3b) = 0.8a - 0.12b
Step-by-step explanation:
0.4 x (2a - 0.3b)
= 0.4(2a) - 0.4(3b)
= 0.8a - 0.12b
<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
3x - 2y = 3
<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3
use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3
add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5
<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2
<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
