Calll x the smaller negative number.
The larger number will be x + 8
The product will be x(x+8) = 308
An the equation:
x^2 + 8x = 308
x^2 + 8x - 308 =0
If you solve that equation you will get x = -22 and x = 14.
The result that you are looking is the negative, x = -22.
The larger number is -22 + 8 = -14.
(-22)*(-14) = 308
Answer: x^2 + 8x - 308 =0
Answer:
=360x4+1440x3+24x+24
Step-by-step explanation:
6(x+4)(10)xx(6)x+(4)(6)x+24
=360x4+1440x3+(4)(6)x+24
=360x4+1440x3+24x+24
Hope it helps!!
Answer:
170
Step-by-step explanation:
The given relations can be used to write and solve an equation for the number of stickers Peter has.
<h3>Setup</h3>
Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).
The total number of stickers is 300:
p +p/2 +(p/2 -40) = 300
<h3>Solution</h3>
2p = 340 . . . . . . . . . . . . . . add 40, collect terms
p = 170 . . . . . . . . . . . divide by 2
Peter has 170 stickers.
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<em>Additional comment</em>
Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.
We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.
p +j +e = 300
p -2j +0e = 0
0p +j -e = 40
Answer:
2028 ft
Step-by-step explanation:
Let the feets of boards sold to get profit be x hence with the price of $1.13 which is inclusive of profit, the total sales will be 1.13 x
The cost per day will equally be the sum of variable cost which considers the feets of boards and the daily fixed charge. Considering the variable of $0.03 and fixed charge of $2230.80 then the equation is represented as 0.03x+2230.80
Relating the two equations then
1.13x=0.03x+2230.80 and rearranging like terms
1.13x-0.03x=2230.80
1.1x=2230.8
X=2230.8/1.1=2,028 ft
Therefore, to maximize daily profit, 2028 ft must be sold
Well now, I don't know. Let's find out:
The factors of 35 are 1, 5, 7, and 35 .
The factors of 45 are 1, 3, 5, 9, 15, and 45 .
The common factors are: 1 and 5 .
The biggest one is 5 .
