Answer:
10
Step-by-step explanation:
hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x
then
hoh(x) = x
then
hoh(10) = 10
374 = 33
272 = x
374/33 = 272/x
x=(33*272)/374=24 minutes
Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the 
terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12
+ 5a² × - 7a² = - 35
Summing gives
12 - 35 = - 23
with coefficient - 23
Answer:
Samuel is correct i.e there are infinitely many solutions
Step-by-step explanation:
Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.
A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.
The first equation: –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1
The second equation: 7x + 7y = 7 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1.
Here, we get the equation which has the same slope and y-intercept as that of the first equation.
In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.
Hence, Samuel is correct.
