X is pretzels and y is hot dogs
3x + 2y=195
x +15 =y
3x + 2(x+15)=195
5x=165
x=33
D
4x5x2 ...small box 40cm3
10x4x8 ...big box 320cm3
Add both results
360cm3
Hope it works!
Good luck!
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this firm use the method of completing the square
Factor out - 1 from each term
y = - (x² - 9x + 12)
To complete the square
add/subtract (half the coefficient of the x- term )² to x² - 9x
y = - (x² + 2( -
)x +
-
+ 12 )
= - ( (x -
)² -
)
y = - (x -
)² +
← in vertex form
Clear the fraction <span>When equations have a lot of fractions in them, the easiest way to solve them is to first clear all the fractions. In order to do this, </span>you must multiply every term by the LCD (least common denominator).<span> </span>
Answer:
x = 39
Step-by-step explanation:
there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two
so, (36 + 42)/2 = x
36 + 42 = 78
78/2 = 39