Hey there!
Let's first evaluate this problem, and the keyword we need to use. The problem says that out of the total number of bracelets Brianna has, x, 1/3 of them are pink. The reason the word of is so important throughout math is that it signifies multiplication. For example, 1/2 of 10 is 5 because 1/2 times 10 is 5.
Now, to apply that to this situation, we need to create an equation, a mathematical statement that indicated the equilibrium or equality of two values. Since we have 1/3 of all her bracelets, x is four, we can set up our equation. Here's another good keyword- is. Is signifies an equation, because it means "equal to" mathematically. For example, 5 is equal to 20/4.
We have:
1/3(x) = 4
(One-third of x, the total amount of bracelets, is four.)
We don't want that fraction there. In order to get rid of it and keep the expression equal, we multiply both sides by 3. We have,
x = 12
Hope this helps!
Answer:
What is the question?
Step-by-step explanation:
Just substitute x = 2 and y = 5 into the equation wherever you see x and y.
2 + (12 - 5x) · 2y
2 + (12 - 5(2)) · 2(5)
2 + (2) · 10
4 · 10
40, is the answer which should be the first box.
Answer:
1 real
Step-by-step explanation:
The discriminant is:
which comes from the quadratic formula.
The rules are:
If the discriminant is > 0, there are 2 real solutions
If the discriminant is = 0, there is 1 real solution
If the discriminant is < 0, there are 2 imaginary solutions
(there are 2 other situations involving square roots, but these are the most basic ones in Algebra 2 books when you study quadratics)
First, we have to get that quadratic in standard form, which means getting everything on one side of the equals sign and setting it equal to 0:
where a = 1, b = 4, c = 4
Filling in the discriminant:
gives us
16 - 16 = 0
Therefore, our quadratic has one real solution. Factor it and see if you'd like, to prove that it is true.
Use the distance formula to get your answer. The distance formula is d=sqrt(x2-x1)^2+(x1-y1)^2 Once you plug your coordinates into it, you'll get your answer.
