a) 2 (5x-3) = 24
= 10x -6 = 24
= 10x = 24+6
= 10x = 30
= x= 30/10
b) 5 (2x+1) = 50
= 10x+5=50
= 10x = 50-5
= 10x = 45
= x = 45/10
c) (3x+4)/2=9.5
= (3x+4)/2=95/10
( On cross multiplication )
= 10(3x+4) = 2×95
= 30x+40=190
= 30x=190-40
= 30x=150
= x=150/30
(on simplification)
d) (7+2x)/3=5
(On cross multiplication)
= 1(7+2x)=5(3)
= 7+2x=15
= 2x=15-7
= 2x=8
= x=8/2
(on dividing)
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
Answer:
x= 
Step-by-step explanation:
Answer:
The new equation is 
Step-by-step explanation:
Given : Function 
were shifted 7 units to the right and 3 down.
To find : What would the new equation be?
Solution :
Shifting to the right with 'a' unit is
f(x)→f(x-a)
So, shifting g(x) 7 units to the right is
Shifting to the down with 'b' unit is
f(x)→f(x)-b
So, shifting g(x) 3 units down is
The new equation is
Multiply both sides by 4
subtract 24r from both sides
simplify r - 24r to -23r
divide both sides by -23
two negatives make a positive
simplify 14/5/23 to 14/5 x 23
simplify 5 x 23 to 115
switch sides
Answer: r = 14/115.
