Answer:
<h2><em><u>[-8, 7] also, - 8 ≤ y ≤ 7</u></em></h2>
Step-by-step explanation:
<em><u>As we</u></em><em><u> </u></em><em><u>know</u></em><em><u>,</u></em>
Range : Is how far the graph goes from down to up.
So here,
Furthest down point of y = - 8
Furthest upper point of y = 7
<em><u>Hence</u></em><em><u>,</u></em>
Range will be <em>[-8, 7] also, - 8 ≤ y ≤ 7</em>
Answer: The acute angle is the small angle which is less than 90°. If you choose the larger angle you. will have a Reflex Angle instead: The smaller angle is an Acute Angle, but the larger angle is a Reflex Angle.
Step-by-step explanation: An angle that is exactly 90 degrees is called a right angle. Angles greater than 90 degrees and less than 180 degrees are called obtuse angles. An angle that is exactly 180 degrees is called a straight angle. butt
The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.
These "changes" are indicated with the capital greek letter delta, 
, and when you write 
you mean the difference between the finial and the inital values of the variable x:
So, the acceleration is defined as
In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have
m/s^2
The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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