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Ivan
2 years ago
5

What are the zeros of the function? f(x) = 8x2 + 2x – 21

Mathematics
2 answers:
Naddika [18.5K]2 years ago
4 0
X= 3/2 and -7/4
Factored is: (2x-3)(4x+7) you can find zeros by setting each of them to zero
amid [387]2 years ago
3 0

Answer:

x=\frac{3}{2} and x=-\frac{7}{4}

Step-by-step explanation:

Since, the zeroes are the input values in which the value of a function is zero,

Here, the given function,

f(x)=8x^2+2x-21

For zeroes,

f(x) = 0

\implies 8x^2 + 2x - 21 =0

By middle term splitting,

8x^2 + 14x - 12x - 21=0

2x(4x+7) - 3(4x+7)=0

(2x-3)(4x+7)=0

By zero product property,

2x - 3 = 0 or 4x + 7 = 0

⇒ x = 3/2 or x = -7/4

Hence, the zeroes of the given equation are x=\frac{3}{2} and x=-\frac{7}{4}

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0.9+2.10=2.19
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
Help!! 50 points and brainliest!
Viktor [21]

Answer:

Second choice:

x=2t

y=4t^2+4t-3

Fifth choice:

x=t+1

y=t^2+4t

Step-by-step explanation:

Let's look at choice 1.

x=t+1

y=t^2+2t

I'm going to subtract 1 on both sides for the first equation giving me x-1=t. I will replace the t in the second equation with this substitution from equation 1.

y=(x-1)^2+2(x-1)

Expand using the distributive property and the identity (u+v)^2=u^2+2uv+v^2:

y=(x^2-2x+1)+(2x-2)

y=x^2+(-2x+2x)+(1-2)

y=x^2+0+-1

y=x^2

So this not the desired result.

Let's look at choice 2.

x=2t

y=4t^2+4t-3

Solve the first equation for t by dividing both sides by 2:

t=\frac{x}{2}.

Let's plug this into equation 2:

y=4(\frac{x}{2})^2+4(\frac{x}{2})-3

y=4(\frac{x^2}{4})+2x-3

y=x^2+2x-3

This is the desired result.

Choice 3:

x=t-3

y=t^2+2t

Solve the first equation for t by adding 3 on both sides:

x+3=t.

Plug into second equation:

y=(x+3)^2+2(x+3)

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

y=(x^2+6x+9)+(2x+6)

y=(x^2)+(6x+2x)+(9+6)

y=x^2+8x+15

Not the desired result.

Choice 4:

x=t^2

y=2t-3

I'm going to solve the bottom equation for t since I don't want to deal with square roots.

Add 3 on both sides:

y+3=2t

Divide both sides by 2:

\frac{y+3}{2}=t

Plug into equation 1:

x=(\frac{y+3}{2})^2

This is not the desired result because the y variable will be squared now instead of the x variable.

Choice 5:

x=t+1

y=t^2+4t

Solve the first equation for t by subtracting 1 on both sides:

x-1=t.

Plug into equation 2:

y=(x-1)^2+4(x-1)

Distribute and use the binomial square identity used earlier:

y=(x^2-2x+1)+(4x-4)

y=(x^2)+(-2x+4x)+(1-4)

y=x^2+2x+-3

y=x^2+2x-3.

This is the desired result.

3 0
3 years ago
Read 2 more answers
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