Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
<h3>How to get the graph?</h3>
It can be deduced that the coordinates satisfy the equation of the line.
3y = 2x - 12
Divide through by 3.
y = 2/3x - 4.
The slope is 2/3.
In conclusion, the correct option is B.
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Answer:
m=25w+80
Step-by-step explanation:
m=money
w=weeks
280-130=150
150/6=25 this is how much she earns per week
25*2=50 this is how much she earned in two weeks
130-50=80 this is how much she had before she worked
m=25w+80
plug in to check:
(25*2)+80=130
(25*8)+80=280
Answer: m ⇒ e ∨ p
Step-by-step explanation:
First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.
- In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:
⇒ = " only if"
∨ = "or"
- Convert the phrases into variables where:
m = " You can see the movie"
e = "You are over 18 years old"
p = " you have the permission of a parent"
- Construct the statement sequentially.
You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)
- Remove the phrases and you'll have your answer:
m ⇒ e ∨ p
Answer:
44%
Step-by-step explanation:
11/25 =0.44
0.44 = 44/100 = 40%
11x4 =44
25x4=100
