Answer:
4.5
Step-by-step explanation:
→ Set up the direct proportion equation
z = kx
→ Substitute in the values
12 = 3k
→ Divide both sides by 3 to isolate k
4 = k
→ Substitute the value of k back into the original direct proportion equation
z = 4x
→ Substitute the value of z in
18 = 4x
→ Divide both sides by 4 to isolate x
4.5 = x
6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)
Answer:
Option D
Y=2.6x
Step-by-step explanation:
When y=10.4 and x=4, these two can be related by the equation
10.4=4x
Making x the subject of the formula then x=10.4/4=2.6
Relating x and y then we have the equation
Y=2.6x
For example, when x is 4 then y=2.6x=2.6(4)=10.4 as given in the question. Therefore, the right option is D
Y=2.6x
To divide the expression we proceed as follows:
12x⁴y²÷3x³y⁵
=12x⁴y²/3x³y⁵
=(12÷3)×(x⁴÷x³)×(y²÷y⁵)
when you divide number with the same base, you subtract the numerators:
=4×(x⁴⁻³)×(y²⁻⁵)
simplifying this we get
=4xy⁻³
Answer: 4xy⁻³
