Answer:
49/4
Step-by-step explanation:
x² -7x +(7/2)²=(x-7/2)²
x²-2x·7/2+ (7/2)²=(x²-7/2)²
(7/2)²=49/4
Answer:
Step-by-step explanation:
Cake=x
Pie=y
x+y=15
5x+7y=91
(x+y=15)-7
5x+7y=91
-7x+(-7y)=-105
5x+7y=91
-2x=-14
x=7
They sold 7 cakes
Answer to break even, cost = earnings= $455, number of miles to cover is 11
Step-by-step explanation: cost =422+3x, where x= number of miles covered
Earnings=400+5x
St break even, cost = earnings, then solving the linear equation, by collecting like terms, and dividing through by 22. x=11, the Pu x=11 in the either the cost or earnings expressing to get 455
X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
