Answer:
x= 2
Step-by-step explanation:
so you add the values given in the brackets and leave X as it is (do this on both sides of the equation.
1. (x + 5)(x+4)= (x+12)(x+1)
2. multiply the parenthesis on both sides or one at a time
so,
+5x+4x+20 =
+12+1x+12
3. cancel like terms which we have
so remove that.
5x+4x+20=12+1x+12
4. collect like terms.
9x + 20 = 13x + 12
5. move like terms.
9x-13x=12-20 = -4 = -8
6. x=
divide both sides by 4 or basically simplify 4 divided by 8
which leaves u with
x= 2
hope this helps x, let me know if u have any questions. photomath is an app that helps too.
Answer: Jimmy's displacement is 6
Step-by-step explanation:
8-2=6
The correct answer is n=4:)
Answer:
<em>P=7.75t+13</em>
<em>t = 19 weeks</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.
The linear function can be expressed in the slope-intercept format:
y = mx + b
Another equation of the line can be used when two points are given.
The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).
Find the equation of the line:




The explicit formula is:
P = 7.75t + 13
Now we find when the beetle population is 161:
161 = 7.75t + 13
161 - 13 = 7.75t
7.75t = 148
t = 148/7.75
t = 19 weeks