The reciprocal of any number is the other number you must multiply it by to equal one. In this case it's 9/2
Answer:
Hot dog:155 calories Cottage cheese: 200 calories
Step-by-step explanation:
Make 2 equations ---->(y=cottage cheese, x=hot dog) 2x+3y=910, 5x+2y=1,175---> solve for one variable---> x+1.5y=910---> x=605-1.5 y-----> do for both-----> x=155, y=200
According to property the diagonals are equal in rectangle
6x+19=9x-5
9x-6x=19+5
3x=24
x=24/3
x=8
Answer:
Step-by-step explanation:
In the quadratic
the sign on the leading coefficient is positive, so the parabola opens upwards. The y-intercept exists where the x's are equal to 0, so the y-intercept is (0, -8). Match that to the table that has those characteristics in it.
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
