Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:

A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33.

Naya [18.7K]

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be x and y, where y is the larger of the two numbers.

Since y is the larger number, it is one more than the smaller number. So:

$y=x+1$

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

$-2x+y^2=33$

Substitute:

$-2x+(x+1)^2=33$

Solve for x. Square:

$-2x+(x^2+2x+1)=33$

Simplify:

$x^2+1=33$

Subtract one from both sides:

$x^2=32$

And take the square root of both sides:

$x=\pm\sqrt{32}=\pm 4\sqrt{2}$

Since y is positive, we can ignore the negative case. So, the smaller number is:

$x=4\sqrt{2}\approx5.66$

And the larger number is:

$y = 4\sqrt{2} + 1 \approx6.66$

3 0

3 years ago

The country of Freedonia has decided to reduce its carbon dioxide emission by 3 5 %every year. This year the

Degger [83]

Answer:

Brainliest?

Step-by-step explanation:

The amount after t years 40 millions tons

Bit by bit clarification:

Given as :

The pace of abatement of carbon dioxide one another = 35%

The amount of carbon dioxide radiated for this present year = 40 million tons

Let the amount of carbon dioxide discharged after t year = A millions tons

Presently, According to address

The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×

Or on the other hand, A millions tons = 40 millions tons ×

So,The amount after t years = A = 40 millions tons

Consequently The amount after t years 40 million

6 0

3 years ago

How many square centimeters of the wrapping paper will be used to wrap the The Shoe Box

Kryger [21]

Answer:

answer is in the picture.

5 0

3 years ago

Given the polynomial 2x^3+18x^2-18x-162, what is the value of the constant "k" in the factored form?

maxonik [38]

2x³+18x²-18x-162 =
2(x³+9x²-9x-81)=
2(x²(x+9)-9(x+9))=
2(x²-9)(x+9)=
2(x+3)(x-3)(x+9)

Answer: k=3

7 0

3 years ago

Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.

Strike441 [17]

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

x=quarts of 6% butterfat

First, write an equation.

0.06x+0.01(75-x)=0.03*75

Multiply both sides by 100.

0.06x*100+0.01*100(75-x)=100*0.03*75

Simplify

6x+75-x=3*75

6x+75-x=225

Solve

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

8 0

3 years ago