X^2 = 4x + 12
x^2 - 4x - 12 = 0, use the quadratic equation
Solve for x over the real numbers:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 (or x = -2 only positive solution)
Answer:
(see attachment for tree diagram)

<h3><u>Part (a)</u></h3>

<h3><u>Part (b)</u></h3>

<h3><u>Part (c)</u></h3>


<h3><u>Part (d)</u></h3>
As the six-sided die does not have a side labelled "7", the probability of rolling a 7 is zero.

The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
So this equation is in exponential equation format, which is
, with a = initial value (aka y-intercept) and b = growth/decay.
Looking at our equation, since 1 is in the a placeholder, this means that the <em>y-intercept is (0,1)</em>. Looking at our four graphs, the only graph that has (0,1) as the y-intercept is the third graph. Therefore, <u>the correct answer is the third graph.</u>
Answer:
50 km per hour
Step-by-step explanation:
250/5=50