Answer:
the last option: 
Step-by-step explanation:
Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:
f(4) = -14 (what the blue function reads [its y-value] when x is 4)
g(4) = 10 (what the red function reads [its y-value] for x=4)
g(-2) = 4 (y-value of the red function when x is -2)
f(2) = -8 (y-value of the blue function for x = 2)
f(-2) = 4 (y-value of the blue function for x =-2)
use them to compare the options they give you, and the only one that matches is the last option.
-2__0__2
Hopefully this helps :)
Answer: For instance, if we cut the pie into 6 equal slices, then 1 slice represents 1/6 of the whole pie. In the same way, if we break 1 into 6 equal parts, 1 part represents 1/6 of 1. Unit fractions are 1 part of the number 1. Notice that the more pieces you slice the pie into, the smaller the pieces of pie become.
Step-by-step explanation:
Answer:
4<em>s</em> + 10<em>p</em> <= 100
<em>p</em> >= 5
Step-by-step explanation:
So it's important to remember here that this isn't one linear inequality to represent everything, it's a system. One of the inequalities that are part of the answer won't answer the entire question by itself, so don't worry about that. It might sound like tedious work, but you can break it down pretty easily into logic.
So the soil costs Marsha $4 per bag, and the plants cost her $10 each. She can't spend more than $100 dollars.
Let <em>p</em> = number of plants and let <em>s</em> = number of bags of soil
If each soil bag costs her $4, then 4<em>s</em> is the amount she spends on soil (4 [which is the cost of each individual soil bag] x number of bags = total cost of soil bags).
If each plant costs her $10, then 10<em>p</em> is the amount she spends on plants (same logic).
Because she can't spend more than $100 on both soil and plants together,
4<em>s</em> + 10<em>p</em> has to be less than or equal to 100.
4<em>s</em> + 10<em>p</em> <= 100
Since she wants to buy at least 5 plants, <em>p</em> has to be greater than or equal to 5.
<em>p</em> >= 5
And there you have it! Your system of inequalities is:
4<em>s</em> + 10<em>p</em> <= 100
<em>p</em> >= 5
Pretty simple c:
Answer:
(5²)³ = 5⁶
Step-by-step explanation:
(5²)³ = 5²ˣ³ = 5⁶
