Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Answer:
farmers market sold 4/9 plums in bushel
Step-by-step explanation:
We know that at the beginning of the day we have 7/9 of a bushel of plums and that after a while there are 1/3 of a bushel of plums, so to calculate how many were sold we have to subtract the bushel of plums that were left from the initial ones
7/9 - 1/3
if we want to do this subtraction we have to find a fraction equivalent to 1/3 that can be subtracted from 7/9
1/3 = (1 * 3) / (3 * 3) = 3/9
now we are just the top and leave the denominator the same as before
7/9 - 3/9 = 4/9
- From the table showing in the diagram, Let's pick the data in the first row:
Time = 3 hours
Money earned = $45
- The amount of money Carl earns per hour is calculated as:
3 hours = $45
1 hour = ?
Cross Multiply
1 hour x $45 / 3 hours
= $15
- Let's confirm our answer using the data in the last column
Time = 10 hours
Money earned = $150
The amount of money Carl earns per hour is calculated as:
10 hours = $150
1 hour = ?
Cross Multiply
1 hour x $150 / 10 hours
= $15
Therefore, the amount of money Carl earns per hour is $15
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You just swap the ordered pair units around. It’d be (-5, 3)
If you would like to know the average earning per week, you can calculate this using the following steps:
525 + 575 + 475 = 1575
1575 / 3 = 525
The correct result would be $525.