If xy = 144, x + y = 30, and x > y, what is the value of x – y ?F. 4
G. 6
H. 18
J. 22
K. 24

Answers

Answer 1

Answer: $xy=144\nx+y=30\to x=30-y\n\nsubstitute:\n\n(30-y)y=144\n-y^2+30y-144=0\n\n\Delta=30^2-4\cdot(-1)\cdot(-144)=900-576=324;\ \sqrt\Delta=√(324)=18\n\ny_1=(-30-18)/(2\cdot(-1))=(-48)/(-2)=24;\ y_2=(-30+18)/(2\cdot(-1))=(-12)/(-2)=6\n\nx_1=30-24=6;\ x_2=30-6=24\n\nx > y\ to x=24\ and\ y=6\n\nx-y=24-6=18\n\nAnswer:H.$

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What is 18/3 simplified?

Answers

18 6
------ = -------- = 6
3 1

18 ÷ 3 = 6

Hope I helped:P

divide the numerator and the denominator by 3. the answer 6/1 but you don't have to write the 1 so it's just 6

What does 100%, 4/4 ,1.000 have in common

Answers

They all end up being 1
100% = 1
4/4 = 1
1.000 = 1

They all come down to equaling 1

Simonne used the following steps to simplify the given expression.12 minus 3 (negative 2 x + 4)

Step 1: 12 + (negative 3) (negative 2 x) + (negative 3) (4)
Step 2: 12 + 6 x + (negative 12)
Step 3: 12 + (negative 12) + 6 x
Step 4: 0 + 6 x
Step 5: 6 x

What property of real numbers was used to transition from step 3 to step 4?
identity property of addition
inverse property of addition
associative property of addition
commutative property of addition

Answers

The property of real numbers that was used to transition from step 3 to step 4 is the identity property of addition.

The steps to simplify the given expression are as follows:

12 - 3 (-2 x + 4)

Step 1: 12 + (-3) (-2 x) + (-3) (4)

Step 2: 12 + 6x + (-12)

Step 3: 12 + (-12) + 6 x

Step 4: 0 + 6 x

Step 5: 6 x

As we know that the identity property of addition states that adding zero to any number does not change the value of that number.

In step 3, we have 12 + (-12), which is equivalent to adding zero to 12.

Therefore, the property used in this transition is the identity property of addition.

Learn more about the identity property of addition here:

brainly.com/question/1709448

#SPJ2

Answer:

Inverse property of addition

Step-by-step explanation:

The purpose of the inverse property of addition is to get a result of zero. The purpose of the inverse property of multiplication is to get a result of 1. We use inverse properties to solve equations. Inverse Property of Addition says that any number added to its opposite will equal zero.

Ba^4•(2ba^4)^-3
The answer key says 1/8b^2a^8 but I don't understand how they got that.

Answers

$a^(4)b(2ab^(4))^(-3)$

$a^(4)b( (1)/((2a^(4)b)^(3)))$

$a^(4)b( (1)/((2a^(4)b)(2a^(4)b)(2a^(4)b)))$

$a^(4)b( (1)/(8a^(12)b^(3)))$

$(1)/(8a^(8)b^(2))$

$ba^4\cdot(2ba^4)^(-3)=(ba^4)/((2ba^4)^3)=(ba^4)/(8b^3a^(12))=(1)/(8b^2a^8)$

What is the value of 1 raised to the power of any exponent

Answers

Any exponent of 1 is simply 1 multiplying itself

For example: $1^(5)$ is 1×1×1×1×1

Anything multiplied by 1 is the same number started with and 1 is no exception

So 1 raised to the power of any exponent is 1

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