The numerator of this function given may be factored out as follows,
x² - 2x - 15 = (x - 5)(x + 3)
Given that the expression x - 5 appears in both the numerator and the denominator, we can cancel them and the new function becomes,
f(x) = x + 3
which is continuous at 5.
Yes it is.
Step by step explanation:
Answer:
80 toy cars were left in the shop.
Step-by-step explanation:
Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:
Toy cars = 30%
Dolls and teddy bears = 70%
70/5 = 14 x 4 = 56
Dolls = 56%
Teddy bears = 14%
56 - 30 = 26
156/26 = 6 (1%)
Toy cars = 30 x 6 = 180
Dolls = 56 x 6 = 336
Teddy bears = 84
100 - 16 = 84
84 = 336 + 84 = 420
16 = X
84 = 420
16 = X
16 x 420/84 = X
80 = X
Therefore, 80 toy cars were left in the shop.
Step-by-step explanation:
X=y-5
Now,
4x-y=4
4(y-5)-y=4
4y-20-y=4
3y=24
Y=8
Substituting the value of y
8-5=x
X=3
