Answer:
Either -17 or 17
Step-by-step explanation:
Answer:
the degree of the monomial is 11
Step-by-step explanation:
x = 1
y^3 = 3
z^7 = 7
add the exponents 1+3+7 = 11
Answer:
$20 per hour
Step-by-step explanation:
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
Answer:
1.25 seconds
Step-by-step explanation:
Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.
At the maximum:
8π/5 t = 0
t = 0
At the minimum:
8π/5 t = π
t = 5/8
t = 0.625
The time from maximum to minimum is 0.625 seconds. Therefore, the time from minimum back to maximum is also 0.625 seconds. So the total time is:
0.625 + 0.625 = 1.25
Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
