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Pani-rosa [81]
3 years ago
9

Write an equation for a rational function with:

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0
Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.
0 = (x-5)(x+1)
The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.
y = \frac{(x-5)(x+1)}{(x+4)(x-3)}
Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6
y = \frac{6(x-5)(x+1)}{(x+4)(x-3)}


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Work out the precentage change when a price of 40 is decreased to 38
aksik [14]

Answer:

5%

Step-by-step explanation:

38 is 95% of 40 therefore the change is 5%

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A juice machine is set to dispense 16 ounces of juice. The amount of juice
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Read 2 more answers
1-Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the ho
jasenka [17]

Answer:

1. The correct option B.

2.The correct option A.

Step-by-step explanation:

The given function is

f(d)=-0.6d^2+5.4d+0.8

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

0=-0.6d^2+5.4d+0.8

Quadratic formula:

d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using the quadratic formula we get

d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}

d=-0.146,9.146

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

9.146\approx 9.15

Therefore the correct option is B.

2.

The given equation is

y=(x-1)^2+1                 .... (1)

The standard form of parabola is

y=a(x-h)^2+h             .... (2)

Where, a is constant and (h,k) is vertex.

On comparing (1) and (2), we get

a=1

h=1

k=1

Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).

Put x=0 in the given equation.

y=(0-1)^2+1

y=1+1=2

Therefore the y-intercept is (0,2) and option A is correct.

8 0
3 years ago
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Romashka-Z-Leto [24]

Answer:

A

Step-by-step explanation:

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So area =

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5.5 also = 5\frac{1}{2}

Hence, the correct answer is A

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lord [1]

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Is there supposed to be a photo

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