Answer:
Step-by-step explanation:
4(x+1)²=100
(x+1)²= 5²
(x+1)²- 5² = 0
(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)
(x - 4 ) (x+6) =0
x - 4 = 0 or x+6 = 0
x = 4 or x = - 6
It would be the points (0,80) and (15,10)
Step-by-step explanation:
The midline is the average of the lowest point and the highest point.
y = (4 + 6) / 2
y = 5
The amplitude is the distance from the midline to the lowest/highest point:
a = 5 − 4 = 1, or a = 6 − 5 = 1
It's also half the distance between the lowest point and the highest point:
a = (6 − 4) / 2
a = 1
The period is the time it takes to complete a full cycle, so the period is 12 hours.
Graph y = x (black)
(0; 0); (2; 2)
Symmetry <span>about the x-<span>axis (green)
Translation down 1 unit (red)
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Hi Student!
Looking at this problem, it's fairly simple and just asks us to determine whether x = 1 is a solution to the expression that was provided. The first step that we must take to solving this is to plug in the value 1 for each of the places that we have x. Then we simplify and look at the final expression and if it evaluates to true than x = 1 is a solution to the expression.
<u>Plug in the values</u>
<u>Simplify both sides</u>
Looking at the final expression that is shown, we can see that it states that 4 is greater than or equal to 4 which evaluates to true since 4 is equal to 4. Therefore, x = 1 would be considered a solution of the expression that was provided in this problem.