YES it’s is a linear function
Answer:
The domain is all real numbers (see the explanation)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (-5,-5)
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
In this problem
The domain is the interval (-∞,∞)
The domain is all real numbers
The range is the interval [-5,∞)
All real numbers greater than or equal to -5
Answer:
The first one is 160
The second one is 680
Step-by-step explanation:
Answer:
Girls to boys = 1:2
Girls to students = 1:3
Boys to students = 2:3
Step-by-step explanation:
So, let's subtract the number of girls from the number of students in the class:
60 - 20 = 40
This means that for every 20 girls there are 40 boys in the ratio of girls to boys:
20:40
This can be simplified down by factoring, here we can divide by 20:
(20 ÷ 20) : (40 ÷ 20)
1:2
So the ratio of girls to boys is 1:2
The ratio of boys to students can be calculated via:
40:60
This can be simplified by dividing by 20 again:
(40 ÷ 20) : (60 ÷ 20)
2:3
So the ratio of boys to students is 2:3
The ratio of girls to students can be put in a ratio of:
20 : 60
This can be simplified down by dividing by 20:
(20 ÷ 20) : (60 ÷ 20)
1:3
So the ratio of girls to students is 1:3
Hope this helps!
Answer: A. profit of $4500
<u>Step-by-step explanation:</u>
r(x) = x² + 6x + 10
- <u>c(x) = x² - 4x + 5</u>
(r - c)(x) = 10x + 5
(r - c)(4) = 10(4) + 5
= 40 + 5
= 45
(r - c)(x) represents the profit (in hundreds of dollars) in x months
(r - c)(4) represents the profit (in hundreds of dollars) in 4 months
So, the new store will have a profit of $4500 in 4 months