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sukhopar [10]
3 years ago
11

Simplify the expression

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

its B bro come on

Step-by-step explanation:

ok good

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Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2
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Tems11 [23]

Given, the equation that represents the height of an object:

y(t)=100t-16t^2

First, we will find the velocity of the object which is the first derivative of the height using the method of the limits

\frac{dy}{dt}=\lim_{h\to a}\frac{y(3+h)-y(3)}{(3+h)-(3)}

We will find the value of the function y(t) when t = 3, and when t = 3+h

\begin{gathered} y(3+h)=100(3+h)-16(3+h)^2 \\ y(3+h)=300+300h-16(9+6h+h^2) \\ y(3+h)=300+300h-144-96h-16h^2 \\ y(3+h)=156+4h-16h^2 \\ y(3)=100(3)-16(3)^2=156 \end{gathered}

Substitute y(3+h) and y(3) into the expression of the limit

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}\frac{156+4h-16h^2-156}{3+h-3}=\lim_{h\to a}\frac{4h-16h^2}{h} \\  \\ \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \end{gathered}

Where a = 0

d) compute the instantaneous velocity at t = 3

\frac{dy}{dt}|_{t=3}=100-16*2*3=4

So, the answer will be:

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \\ a=0 \\  \\ \frac{dy}{dt}|_{t=3}=4\text{  ft/sec} \end{gathered}

5 0
1 year ago
What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​
meriva

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

−

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

image of graph

Step-by-step explanation:

7 0
2 years ago
1. In the diagram below which expression represents x, the measure of the exterior angle shown?
IRISSAK [1]

Answer:

a) a + b

Step-by-step explanation:

4 0
3 years ago
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