Answer:
The answer to your question is: the third option.
Step-by-step explanation:
c < 28
Cate' problem
The shelter can house 15.6 cats because 15.6 < 28. This option is incorrect because cats are integers we can not count 0.6 cats.
The shelter can house –8 cats because –8 < 28. -8 is a negative number, cats are not negative so this option is wrong.
The shelter can house 17 cats because 17 < 28. This is the correct option, 17 is an integer lower than 28.
The shelter can house 28 cats because 28 < 28. 28 is not consider by the inequality, so this option is wrong.
Answer:
5.29
Step-by-step explanation:
Answer:
y = 3(x + 15)^2 - 625
Step-by-step explanation:
y = 3x^2 + 90x + 50
To complete the square, the coefficient of the x^2 term must be 1. We have 3x^2, so we factor out a 3 from the first two terms.
y = (3x^2 + 90x) + 50
y = 3(x^2 + 30x) + 50
To complete the square, square half of the coefficient of the x term. The x term is 30x. Half of 30 is 15. 15 squared is 225.
Since you are adding 225 inside the parentheses, and the quantity in parentheses is being multiplied by 3, you have really added 3 * 225 = 675 to the polynomial, so you must subtract 675 from the polynomial to keep it equal.
y = 3(x^2 + 30x + 225) + 50 - 675
Now we change the trinomial which is perfect square into the square of a binomial.
y = 3(x + 15)^2 - 625
Answer:
21+3x
Step-by-step explanation:
3(7+x)
3*7+3*X
21+3x