Answer:
X=½ or 3
Step-by-step explanation:
0=2x²-7x+3
0=(2x-1)(x-3)
0=2x-1 or 0=x-3
1=2x or 3=x
½=x
Answer:
The fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
Step-by-step explanation:
Given that Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
we have to find the fraction of chores Janie did to earn total of $13.50
Let the fraction of chores is x which Janie wants to earn enough money to buy a CD for $13.50.
Total money=$3+$1.20(fraction of chores)
$13.50=$3+$1.20(x)
$13.50-$3=$1.20(x)
x=8.75~9
Hence, the fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)