Answer:
Y = -2X + 7
Step-by-step explanation:
Y = a(x-h)^2 + k
From (h,k) h = 0 k = 7 x = 2 y = 3
3 = a(2-0) + 7
3 = 2a - 0 + 7
Collect like terms
2a = 3 - 7
2a = -4
Divide both sides by 2
2a/2 = -4/2
a = -2
y = a(x-h) + k
y = -2(x-0) + 7
y = -2x + 0 + 7
y = -2x + 7 or
y + 2x - 7 = 0
20n-n-11n =16
20n-12n=16
8n=16
n= 16/8
n=2
Answer:
x>−3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
84>−24x+12
Step 2: Flip the equation.
−24x+12<84
Step 3: Subtract 12 from both sides.
−24x+12−12<84−12
−24x<72
Step 4: Divide both sides by -24.
−24x
/−24
<
72
/−24
Your equation is just to multiply 480 by 3/4.
Easy way to do these quick.
480 (3/4) is the same as (480 * 3) / 4
480 / 4 = 120
By simplifying, you are left with just 120 * 3 in the numerator
120 * 3 = 360
There are 360 people on the plane.
If you need to check your answer:
360 / 480
Take away the zeros at the end by dividing both by 10
36 / 48
Divide both by 6
6 / 8
Now divide by 2
3 / 4
Answer:
probability that you draw a black bead or a white bead that is P(E1 U E2)
= 20/35 = 0.571
Step-by-step explanation:
Given a bag containing 15 red beads, 12 white beads and 8 black beads
n(S) = 15 + 12 +8 = 35
Let 'E1 be the event of selecting black beads and E2 be the event of selecting white beads
n(E1) = 8 and n(E2) = 12
Probability of draw a black bead P( E1 ) = 

Probability of draw a white bead P( E2 ) = 

probability that you draw a black bead or a white bead that is P(E1 U E2)
and E1 n E2 = ∅ (disjoint events)
<u>Axiom of union </u>
<u></u>
<u></u>
E1 n E2 = ∅ ⇒ P(E1 n E2) = p(∅) = 0



