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tresset_1 [31]
3 years ago
14

Let v(t)=t2−2tv(t)=t2−2t be the velocity, in feet per second, of an object at time tt, in seconds.

Mathematics
2 answers:
kirza4 [7]3 years ago
6 0
Thee function is given as:

<span>v(t)=t^2−2tv(t)=t^2−2t 

</span>(a) What is the initial velocity? 

Base from the function, the initial velocity would be zero.

(b) When does the object have a velocity of zero?

It would be during time zero. Also, at a time equal to two.
Anni [7]3 years ago
3 0

Answer:

v(0) =0

t=0,2

Step-by-step explanation:

Given that velocity in feet per second of an object  at time t in seconds is given by the quadratic equation

v(t) = t^2-2t

Initial velocity is the velocity at time 0.

Substitute t=0 in v(t)

a) Initial velocity = v(0) = 0^2-2(0)=0

b) Equate velocity function to 0 and solve for t.

v(t) = t^2-2t=0\\t(t-2)=0\\t=0,2

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What is the value of the variable -38 = 2b + 25 - (-7b)
ddd [48]
The variable in this equation is b, therefore we have to calculate the value of b.

-38=2b+25-(-7b)
-38=2b+25+7b
2b+7b=-38-25
9b=-63
b=-63/9
b=-7

Answer: the value of the variable is b=-7

We can check it out this answer:
-38=2b+25-(-7b)
-38=2(-7)+25-(-7(-7))
-38=-14+25-49
-38=-38
4 0
3 years ago
Which of these correctly explains the solution of the system of equations shown
borishaifa [10]

The solution of the system of equations is the point (-6, 6), so the correct option is B.

<h3>Which statements are correct about the system of equations?</h3>

Here we have the system of equations:

2x + 3y = 6

x + 3y = 12

First, let's write these two lines in the slope-intercept form:

y = (6 - 2x)/3 = 2 - (2/3)*x

y = (12 - x)/3 = 4 - (1/3)*x

Now, because "y" is the represents the same variable in both equations, we can write:

2 - (2/3)*x = y = 4 - (1/3)*x

Now we can solve that for x.

2 - (2/3)*x =  4 - (1/3)*x

2 - 4 = (2/3)*x - (1/3)*x

-2 = (1/3)*x

3*(-2) = x = -6

Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:

y =  4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6

Then the solution of the system is the point (-6, 6). Then the correct statement is B:

"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."

If you want to learn more about systems of equations:

brainly.com/question/13729904

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8 0
2 years ago
Consider the quadratic function f(x) = ax? + bx + 22. The equation of the axis of symmetry is
Triss [41]

Answer:

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Step-by-step explanation:

5 0
3 years ago
I need help with slope (8th grade)
Triss [41]

Answer:

(y1-y2)/(x1-x2)

Step-by-step explanation:

if you have two points from the graph then you can use them to find the slope, for example:

(2,3) and (0,5)

you would take the first point and put it in a fraction (and the second point) but the x goes on the bottom and the y goes on the top:

3/2 and 5/0

Next you put them together minusing one of the equations, but make sure that the two coordinates line up (it doesn't matter which one, in the order):

3-5/2-0

Then you solve:

-2/2

-1

which means that -1 is the slope for this

(the "/" is a fraction bar, in case you didn't already know that)

5 0
3 years ago
Let “a” represent Andrew’s age TODAY. Write an expression to represent the situation. Andrew’s age in 4 years.
serious [3.7K]
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7 0
3 years ago
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