Answer:
x:y:z = 12:3:2
Step-by-step explanation:
x = 4y
2y = 3z ⇒ 4y = 6z
⇒ x = 4y = 6z
To find x:
Multiply the coefficients of y & z: 4 × 6 = 24
To find y:
Multiply the coefficients of x & z: 1 × 6 = 6
To find z:
Multiply the coefficients of x & y: 1 × 4 = 4
⇒ x:y:z = 24:6:4 = 12:3:2
Answer:
"The sum of two rational numbers is rational."
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
Hi I am sorry if i give you the wrong answer but I think it's three games and 2 movies because 6 times 3 = 18 then 4 times 2 = 8 and 18 + 8 = 26 :)
Answer:
Step-by-step explanation:
the y- intercept is at -3 so is either
y= x-3 or y=2x -3
the x-intercept is at 2 so when y=0, x must be 2
0= x-3 so x=3
0=2x-3 so 2x=3 and x=3/2
in conclusion none of the equations given are the graphed
FYI the equation for the graphed line is
y= 3/2 x-3
9514 1404 393
Answer:
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
Step-by-step explanation:
My favorite "technology" for problems like this is the Desmos graphing calculator app or web service. It easily displays the vertex (and/or zeros) of the function.
Of course, vertex form is ...
f(x) = a(x -h)² +k . . . . . . . . vertex (h, k), leading coefficient 'a'
The solution is found by reading the graph and putting the numbers in the formula. The leading coefficient is copied from the standard form equation.
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25