In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.
<h3>When does the car stop?</h3>
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.
To learn more on quadratic equations: brainly.com/question/2263981
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3/4 2/3
This is a multiplication of fractions
1.- Multiply the numerators and the denominators
3/4 x 2/3 = (3x 2) / (4 x 3)
= 6/12
2.- Simplify
= 3/6
= 1/2
Answer: the answer is 15m + 35
Step-by-step explanation:
In the equation y=mx+b, the b value represents the y intercept. However, y must be completely isolated. You must divide all numbers by 15. The y intercept is equal to -750/15 which equals -50
Answer:
x=53/4 or 4x=53
Step-by-step explanation:
First move the variable to the left-hand side and change its sign.
6x+12-10x=-41 to 6x-10x=-41-12
Then collect the like terms
6x-10x=-41-12 to -4x=-41-12 which equals to -4x=-53
Now you divide both sides of the equation by -4
-4x=-53 to x=53 over 4 then if you want you divide which gives you x=13.25
Second way:
Kind of the same thing as the first one
Move the variable to the left-hand side and change its sign
6x+12=10x-41 to 6x=12-10x=-41
Then you collect the like terms
6x-10x=-41-12 to -4x=-41-12
Now you multiply both sides of the equation by -1
-4x=-53 to 4x=53
