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Gnoma [55]
2 years ago
10

A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds),

elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
Mathematics
2 answers:
Ivenika [448]2 years ago
6 0

Answer:

pen

Step-by-step explanation:

fddefefgerf

inysia [295]2 years ago
5 0
15 meters and 20 meters
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(07.04)
dolphi86 [110]

Answer:

1. 6

2. $1.63

3. 4.6

4. 32

5. 34n = 306

6. 3/8

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
find the formula for a rational function that satisfies all of the following. its x-intercept is (-3,0). it has a vertical asymp
Norma-Jean [14]

Let that be

\\ \rm\Rightarrow y=\dfrac{a(f(x))}{g(x)}

Two vertical asymptotes at -1 and 0

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x(x+1)}

If we simply

\\ \rm\Rightarrow y=\dfrac{a(f(x)}{x^2+1}

  • Denominator has degree 2
  • Numerator should have degree as 2 and coefficient as 3 inorder to get horizontal asymptote y=3 means the quadratic equation should contain 3x²
  • But there should be a x intercept at -3 so one zeros should be -3

Find a equation

  • 3x²+9x

Find zeros

  • 3x²+9x=0
  • 3x(x+3)=0
  • x=0,-3

Horizontal asymptote

  • 3x²/x²
  • 3

So our equation is

\\ \rm\Rightarrow y=\dfrac{3x^2+9x}{x(x+1)}

Graph attached

4 0
1 year ago
In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the
SSSSS [86.1K]

Answer:

A) (17 ; 550)

B) $17/item

C) 550

Step-by-step explanation:

First we must calculate the intersection point of the two lines. Since in that point <em>y</em> has the same value in both equations, we can obtain <em>x </em>by equalling the two equations and then using that value for obtaining <em>y</em>:

5x+465=-6x+652\\5x+6x=652-465\\11x=187\\x=\frac{187}{11}\\x=17

So the value of <em>x</em> in the intersection point is 17. We now use this value with either one of the equations to obtain <em>y</em><em>. </em>Let's use the supply equation:

y=5*17+465\\y=550

So the intersection point is (17 ; 550)

Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the <em>x</em> coordinate and the amount of items is the <em>y</em> coordinate, so that is a selling price of <em>$17/item</em> with a number of items of <em>550</em>.

3 0
2 years ago
Write a problem involving how much more Than and solve it. Explain how drawing a diagram helped you solve the problem
avanturin [10]
A very simple example problem to satisfy the required above is,
"John has 8 apples and 17 oranges. How much more oranges does John has than apple?"

To answer this item, one needs to subtract the number of apples from the number of oranges. This is as shown below,
     D = 17 - 8 = 9

The concept of "how much more than" is linked to finding the difference between the numbers. 
6 0
3 years ago
What is the answer ?
mina [271]

Answer:

1)x=15

2)x=38

3)x=7

4)x=10

Step-by-step explanation:

3 0
2 years ago
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