Answer:
= 4sqrt3
Step-by-step explanation:
-2i sqrt -12
= -2i * i sqrt12 <-- i^2 = -1
= -2i^2sqrt12
= -2(-1)sqrt12
= 2sqrt12
= 2 * 2 sqrt3
= 4sqrt3
Answer:
15*C
Step-by-step explanation:
The temperature rises by 2.4 every 3 cycles per second. So you would have to keep the pattern going.
6 cycles p/second = 19.8*C
3 cycles p/second = 17.4*C
0 cycles p/second = 15.0*C
So, because 0 cycles means the engine is resting, 15*C would be the answer.
Answer:
15H = D
Step-by-step explanation:
Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:
15H = D
So, for example, if Louis worked 10 hours, the equation would operate as follows:
15 x 10 = D
150 = D
Te x intercepts are where the graph crosses the x axis or wher y=0
the y intercept is where the graph crosses the y axis or where x=0
to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a
so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8
vertex is (-2,-8)
intercepts
x intercept is where y=0
0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)
yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)
vertex at (-2,-8)
xints at x=

and

or at the points

and

yint at y=7 or at (7,0)