Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
We learned that ratios are value comparisons, and proportions are equal ratios. Ratios can be written with colons or as fractions. So, to compare the number of girls to boys in a litter of puppies, we can write 2:4 or 2/4 to say that there are two girls to four boys.
5 is to 7 as is to 49 is to 51
Answer:
a) Total weekly cost = $300
b) For Cassey to break even she has to sell 4 baskets
Step-by-step explanation:
Cost of electricity and rent in a week = $200
Cost of ingredients to make one dessert basket = $2.50
Total cost of making 40 dessert basket= 40*25
= $100
a) Cassey total cost in a week is $200 + $100
= $300
b) if each basket is sold at $25,the total selling price of 40 baskets will be $(25*40)
= $1000.
For Cassey to break even with the cost of production she has to sell y basket.
y = cost of producing 25 baskets / cost of selling 1 basket
y = 100/25
y = 4 baskets
Answer:
divide: 40
multiply:4.5x10^10
Step-by-step explanation:
