Answer:
Exponential decay is the decrease in quantity
<u>The </u><u>ones</u><u> </u><u>that are correct are:</u>
1 <em> (depreciates means diminish or decrease)</em>
4
6
7
It’s going up by 2/9 . if you did it for the first one it’d b 3/9 which is 1/3
Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
Answer:

Step-by-step explanation:
<u>Slope-intercept form</u> of a linear equation:

where:
- m is the slope
- b is the y-intercept
<u>Given equation</u>:

Therefore, comparing the given equation with the slope-intercept form:
- slope (m) = -2
- y-intercept (b) = -2
The slopes of <u>parallel lines</u> are equal.
Therefore, the slope of the new line is -2.
Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:




Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:

Learn more about the slope-intercept form here:
brainly.com/question/27317293
brainly.com/question/28185014
Absolute value is the distance from a value to zero. In this case, it'd be written as | -282 |. If x = | -282 |, then x = 282