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Sav [38]
3 years ago
8

5x+ 4y = -20 5x + 12y = -10 HELPPPPPP

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

We are to find x and y in this equation.

5x+4y= -20.

- 5x+12y= -10.

which is y=5/4 or 1.25.

then substitute y=1.25 into eqtn I.

5x+4(1.25)=-20.

5x+5= -20.

5x=-20-5.

5x= -25.

x= -5.

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Jade's car can go 27.6 miles per gallon of gas. How many miles can she drive with 7 gallons of gas?
Readme [11.4K]

Answer:

193.2

Step-by-step explanation:

27.6x7 27.7\\ x   7\\--------\\     19.39

5 0
3 years ago
Select the better answer for the definition: Step Function.
Ainat [17]

Answer:

3

Step-by-step explanation:

it resembles a staircase when graphed

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
Hurry I need help pls hurry.
Sav [38]

Answer:

55

Step-by-step explanation:

8 0
2 years ago
I thought of a two-digit number. The digits of my number are different. The unit digit of my number is the tens digit raised to
earnstyle [38]

28.

2 to the third power is 8. Therefore, the answer is 28.


Hope this helps!

4 0
3 years ago
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