Answer:
The slope is most easily defined as rise over run.
First, find a point you like because it is directly on the line and is where for example starting from the origin which you know should be always (0, 0).
Then find another point that is on the line and is perfectly aligned where on the graph is like (1, 2).
Then, as I said earlier, rise over run. So you climb up from for example the origin which is in the graph and climb up to the (1, 2) point. It should go up two units because it is increasing in intervals of 2 but has the notches in the half mark of 1.
So the rise is 2 because it climbed from 0 to 2.
The run is running from the 0 in the origin on the x-axis and running to the 1 because it is (1, 2) where it is in the form (x,y).
Since it is rise over run, the rise is 2 and the run is 1 so 2 over 1 is 2.
Hence the slope is 2.
Step-by-step explanation:
Answer:
56 days
Explanation:
where A is final amount, Ao is initial amount, t is time taken, h is half life
Here given:
initial amount: 400 millicuries
final amount: 3.125 millicuries
half life: 8 days
time taken: ?
Hence solve for time taken:
<u>insert values given</u>
<u>divide both sides by 400</u>
<u>apply exponent rule</u>
<u />
<u>simplify</u>
<u>multiply both sides by 8</u>
ANSWER: u=4
2( 4u -9) = 14
8u -18 = 14
Add18 from both sides.
8u -18+18= 14+18
8u= 32
Divide both sides by 8.
8u/8= 32/8
u=4
1.
f(x) = (x + 1)²
f(2) → put the x = 2 to the equation of the function
f(2) = (2 + 1)² = 3² = 9
2.
f(x) = -x + 6
It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y:
for x = 0 → y = -0 + 6 = 6 → (0, 6)
for x = 6 → y = -6 + 6 = 0 → (6, 0)
Answer:
Slope is -3, and y-intercept is (0,8)
Step-by-step explanation: