Answer:
y = x + 6.
Step-by-step explanation:
y = mx + c where m = the slope of the line and c is the y-intercept.
So here m = 4/4 = 1 and c = 6, so it's:
y = 1x + 6.
Answer:
2 days.
Step-by-step explanation:
Let, Sofia can type the x amount of work in 10 hours.
So, in one hour Sofia can type 
amount of work.
Again, Nova can type x amount of work in 15 hours.
So, in one hour Nova can type 
amount of work.
Hence, if they work together, they can type 
amount of work in one hour.
Therefore, working together they can type the x amount of work in 
days.
So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2
Answer:
5/6
Step-by-step explanation:
There are 6 points (discounting the one at the beginning for 0). That means it's fractions of 6. Point C is on the 5th point, meaning it's 5/6ths of the way to 1, meaning that point C is, indeed, 5/6th.
Answer:
the expression + 12
Step-by-step explanation:
anything that has 'than' after it will be comparing "a" and "b" will be switched
a: 12
b: the expression
a more than b
it'll become
'b + a'
because its comparing both variables of which one is greater than the other in terms of quantity
