If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.
x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.
If you add the two purchases, you find 9 hotdogs and 9 hamburgers cost 24.75. One hotdog and one hamburger will cost 1/9 of that total, or 2.75.
... One hotdog and one hamburger costs $2.75.
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This is what your question asks. Usually, we want to know the individual costs of the items. If we multiply this total by 5, then we have the cost of 5 hotdogs and 5 hamburgers: 13.75. This $1.75 more than the cost of 5 hotdogs and 4 hamburgers, so the cost of a hamburger must be $1.75
... One hotdog costs $1.00
... One hamburger costs $1.75
Answer: 25
Step-by-step explanation:
Answer:
70%.
Step-by-step explanation:
Rearrange the inequality to isolate 
. Start by subtracting 
from both sides of the inequality:
,
.
Divide both sides by 
. (Keep in mind that if the multiplier or divisor is smaller than zero, it will flip the inequality sign.)
.
There are ten numbers in this set. Only seven of them will satisfy this inequality. Note that the "
" symbol means strictly greater than (while "
" means greater than or equal to.) As a result, 
will not count as a solution.
Assume that the number is picked randomly.
.
