Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
There are C(30, 6) = 30!/(6!*(30-6)!) = 593,775 ways to pick 6 numbers from the first 30 positive integers.
The probabilty of matching 6 randomly chosen integers is 1/593,775.
Okay. So the equation is 4x² - 16. We're talking about moving 7 units to the right and 3 units down. That formula would be h(x) = 4(x - 7)² - 19, because you would add -3 to the -16 units to get -19, and you would put the parenthesis around x and the 7 in order for it to move right. Keep in mind that parenthesis around x and a term means that we move either left or right, which didn't occur in the original equation. -16 is the amount of units down and adding -3 to it makes it -19. The answer is A.
Answer:
x+y= 30
8x+7.5y=234
you need to work 18 hours as a dog walker and 12 hours at the carwash
Step-by-step explanation:
x is the number of hours spent dog walking
y is the number of hours spent at the car wash
x+y is to total number of hours work (30)
8x is the amount made dog walking
7.5y is the amount made working at the carwash
234 is the total amount made by working 30 hours
x+y= 30
8x+7.5y=234
to solve:
x+y=30 (isolate the variable x) x=30-y
8(30-y)=234 (substitute in the 30-y for x)
240-8y+7.5y=234 (distribute the 8)
240-.5y=234 (combine like terms)
-.5y=-6 (subtract 240 from each side)
y=12 (divide by .5)
x+12=30 (put 12 in for y)
x=18 (subtract 12 from both sides)
you need to work 18 hours as a dog walker and 12 hours at the carwash
