Answer:
D
Step-by-step explanation:
Given
x = 6 - x² ( subtract 6 - x² from both sides )
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
- 3 × 2 = - 6 and 3 - 2 = + 1, thus
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Sum of solutions = - 3 + 2 = - 1 → D
Answer:
320
Step-by-step explanation:
j u s t a g u e s s b u t i t h i n k i t s r i g h t
It would still be a rectangle
Answer:
2=x
Step-by-step explanation:
8(4-x)=7x+2
Distribute
32 - 8x = 7x+2
Add 8x to each side
32 - 8x+8x = 7x+8x+2
32 = 15x+2
Subtract 2 from each side
32-2 = 15x+2-2
30 = 15x
Divide each side by 15
30/15 = 15x/15
2 =x
Answer:
The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.
Step-by-step explanation:
The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:
<u>Revenue</u> <u>Frequency</u>
Under $2,000 18
$2,000 - $4,000 10
$4,000 - $6,000 26
$6,000 - $8,000 14
$8,000 - $10,000 8
Over $10,000 4
Total 80
The probability of an event <em>E</em> is defined as:

Here,
n (E) = favorable outcome
N = total outcomes
The favorable outcomes of the event <em>X</em> : "more than $6,000 in revenue" is defined as:
n (X) = 14 + 8 + 4 = 26
Total number of outcomes is, <em>N</em> = 80.
Compute the probability of the event <em>X</em> is:

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.