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vampirchik [111]
3 years ago
7

Please help mee 3f + 4(2f - 5)

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0
11f-20
Explanation:
Use the distributive property to distribute the 4 to the values in the parenthesis
3f+8f-20

Then add your like terms to get your final answer
11f-20
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You bought a boat for $10,000. You have owned it for one year, and it is now worth $8,500. What is the percent decrease in your
Ede4ka [16]

Answer:

15%

Step-by-step explanation:

You find it by taking 10,000 and subtracting 8,500 and get $1,500. Now take $1500 and divide by the actual amount 10,000 and get 15%

5 0
3 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
What is the value of x?
Ksju [112]

Answer:

if we are finding the perimeter it would be x = 24

but if it is area it would be x = 480

Step-by-step explanation:

3 0
2 years ago
Help please anyoneee
DENIUS [597]

Answer:

here's the answer to your question

5 0
3 years ago
George the Pigeon travels the same distance of 72 miles
NNADVOKAT [17]

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = u miles/hr

Let the speed of air = v miles/hr

Distance traveled = 72 miles

Relative speed against the wind = (u-v) miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = (u+v) miles/hr

Time taken against the wind = 3 hours

Using the formula:

Speed = \dfrac{Distance}{Time}

u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)

u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)

Adding (1) and (2):

2u=42\\\Rightarrow u = 21\ miles/hr

By equation (1):

v = 21-18\\\Rightarrow v = 3\ miles/hr

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

8 0
2 years ago
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