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Aleonysh [2.5K]
3 years ago
5

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

Step-by-step explanation:

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Answer:

The answer is 7.2368421053 .

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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
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Suppose x and y vary together such that x is 7 times as large as y. write a formula that defines x in terms of y.
Ainat [17]
Since y is less than x by 7 times \frac{x}{7}=y so in terms of x we write
x=7y
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Each exterior angle of a regular polygon is 24º.<br>How many sides does the polygon have?​
valina [46]

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

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Plato combining functions mastery test please help
just olya [345]

Answer:

<em>Choice: B.</em>

Step-by-step explanation:

<u>Operations With Functions</u>

Given the functions:

f(x)=\sqrt[3]{12x+1}+4

g(x)=\log(x-3)+6

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

(g-f)(x)= g(x) - f(x)

(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)

Operating:

(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4

Joining like terms:

\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}

Choice: B.

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