Step-by-step explanation:
the area is
length × width
(3x - 2) × width = 9x² - 4
to find width we could do a real polynomial division or simply recognize the fact that
(a + b)(a - b) = a² - b²
and we see that in our area calculation we are missing the (a + b) factor.
so, width = (3x + 2)
but if you want the division :
9x² - 4 : 3x - 2 = 3x + 2
- 9x² - 6x
-----------------
0 6x - 4
- 6x - 4
----------------------
0 0
again, width = (3x + 2)
Answer:
13/102
Step-by-step explanation:
In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.
Probability of drawing a black card = 26/52 = 1/2
Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.
Probability of drawing a heart from this deck of 51 = 13/51
In general, for the probability of event A <u>and then</u> event B, we multiply.
1/2 x 13/51 = 13/102
Answer:
Step-by-step explanation:
From the question, we are informed that 15⋅324=4,860. Thee exact product of 1.5⋅3.24 will be:
= 1 × 5 × 3 × 24
= 360
The answer will therefore be 360
Answer:
f(x) = 2(x + 4)² - 2
Step-by-step explanation:
Equation of quadratic function whose vertex is (h, k),
f(x) = a(x - h)² + k
Equation of the function with vertex (-4, -2) shown in the graph will be,
f(x) = a(x + 4)² - 2
This graph is passing through a point (-6, 6) also,
6 = a(-6 + 4)² - 2
6 + 2 = a(-2)²
a = 
= 2
Therefore, quadratic function is f(x) = 2(x + 4)² - 2
