-3/2 is the factor would multiply the second equation to eliminate y.
The correct option is (C).
<h3>What is factor?</h3>
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
Given equation is :
9x+3/4 y =6
2x+1/2 y =9
If we have to eliminate the y variable so we have to multiply it by factor -3/2
Then the second equation become
-3/2(2x+1/2 y =9)
-3x- 3/4 y =- 27/2
As we can see the y variable of both the equation is same.
Hence, -3/2 is the factor would multiply the second equation to eliminate y.
learn more about this concept here:
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Answer:
a) Cost of the child-care center: y = 300 + 79x
Cost of the family-run childcare: y = 180 + 93x
Where x is the number of weeks.
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center.
c)The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
Step-by-step explanation:
Hi there!
a)Let y be the cost of childcare. In the child-care center, the cost is 300 plus 79 per week. Let x be the number of weeks, then the cost function for the child-care center will be:
y = 300 + 79x
In the same way, the cost of the family-run childcare will be:
y = 180 + 93x
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center. Let´s calculate the cost of both childcare options for low values of x:
Child-care center:
y = 300 + 79 x
x = 0, y = 300
x = 1, y = 379
x = 2, y = 458
x = 3, y = 537
x = 4, y = 616
Family-run:
y = 180 + 93x
x = 0, y = 180
x = 1, y = 273
x = 2, y = 366
x = 3, y = 459
x = 4, y = 552
c) We have to find the value of x for which the cost of the family-run childcare is greater than the cost of the child-care center:
cost family-run > child-care center
180 + 93x > 300 + 79 x
93x -79x >300 - 180
14x > 120
x > 120/14
x > 8.6
The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
Answer:
Step-by-step explanation:
Write in slope-intercept form, y
=
m
x
+b
.
Answer:
2.5678 to the nearest half is 13,000
Answer:
37
Step-by-step explanation:
4(9)+(2-1)
=36+1
=37
