Y = (x-4)(x+20) ===> 0 = (x-4)(x+20)
that means the roots of that quadratic are x = 4 and x = -20.
now, the vertex will be between these two guys, right in between.
from -20 to 4 there are 24 units, half-way of that is 12 units, so, if we move from -20, 12 units to the right or towards 4, we'll end up at -20 + 12 = -8.
so, the vertex's x-coordinate is -8 then, what's "y" anyway?
y = (x-4)(x+20) x = -8
y = [(-8) - 4] [(-8) + 20]
y = (-12) ( 12)
y = -144
therefore, the vertex is at (-8 , -144)
Answer:
a) So, she can expect a 2.4 calls per hour.
b) So, the standard deviation is 0.8.
Step-by-step explanation:
We know that probability model below describes the number of repair calls that an appliance repair shop may receive during an hour.
Repair Calls 1 2 3 4
Probability 0.1 0.5 0.3 0.1
a) We calculate how many calls should the shop expect per hour.
We get:
So, she can expect a 2.4 calls per hour.
b) We calculate the standard deviation:
So, the standard deviation is 0.8.
Answer:
-3 < -2 < -1 < 4 < 5 < 6 < 23
Step-by-step explanation:
Im really sorry if im wrong
Answer:
x=-4
Step-by-step explanation:
−3(7−2x)+3=8x−10
Step 1: Simplify both sides of the equation.
−3(7−2x)+3=8x−10
(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)
−21+6x+3=8x+−10
(6x)+(−21+3)=8x−10(Combine Like Terms)
6x+−18=8x−10
6x−18=8x−10
Step 2: Subtract 8x from both sides.
6x−18−8x=8x−10−8x
−2x−18=−10
Step 3: Add 18 to both sides.
−2x−18+18=−10+18
−2x=8
Step 4: Divide both sides by -2.
−2x
−2
=
8
−2
x=−4
Answer:
opposite side of an angle
hypotenuse
