Answer:
D
0.4
Step-by-step explanation:
P(A)=0.6
P(B)=0.3
P(B∩A)=0.5
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A or B)=P(A∪B)=0.6+0.3-0.5=0.9-0.5=0.4
Answer:
-4m-17
Step-by-step explanation:
g(2m+7) = -2*(2m+7) -3
= -4m -14 -3
= -4m -17
Answer:
7x² + x + 3
Step-by-step explanation:
Step 1: Write expression
(3x² - 2x + 1) + (4x² + 3x + 2)
Step 2: Combine like terms
7x² + x + 3
Answer:
A. 3:30 pm
Step-by-step explanation:
45 + 25 = 70 --> 1 hour 10 minutes
4:40 minus 1 hour 10 minutes --> 3:30
Answer:
<h3>
f(x) = 6(x - 2)² + 3</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
"the parabola opens upward" means: a>0
"the parabola has x = 2 as an axis of symmetry" means: h = 2
so f(x) = a(x - 2)² + k
"the parabola contains the point (1, 9)" means:
9 = a(1 - 2)² + k
9 = a(-1)² + k
9 = a + k
k = 9 - a
"the parabola contains the point (4, 27)" means:
27 = a(4 - 2)² + k
so:
27 = a(2)² + 9 - a
27 = 4a + 9 - a
3a = 18
a = 6
and k = 9 - 6 = 3
Therefore the vertex form for this parabola is:
<u> f(x) = 6(x - 2)² + 3</u>
