Hey there!
When factoring trinomials, we're usually looking at the trinomial in the format of:
ax^2 + bx + c
In order to factor these, we have to use a different method than when a<1. When a is less than one, we can simply figure out the factors that add to the middle term and multiply to the last, but here we have to do a little something different.
The first step is to factor out the GCD of these terms. As you can see, there isn't one, as 13 is prime.
The next step is to multiply a by c:
6(6) = 36
Next, we have to, using the pattern of trinomials(the two binomials would have factors that add to the middle term and multiply to the last), we have to find factors of 36 that multiply to 36 and add to -13. When we do this step, we can disregard the last term for now. Let's list factors of 36:
36 =
18, 2 = 20
9,4 = 13
-9, -4 = 13
-9 and -4 work for this. We can now write them as x terms and factor by grouping:
6m^2 - 4m - 9m + 6 (don't forget that last term)
For the left side, factor out a 2m:
2m(3m - 2)
For the right side, factor out a -3:
2m(m-2) - 3(m-2)
Now that we have our common factor of m-2, we can write them as a product of 2 binomials:
(2m-3)(m-2)
Hope this helps!
Answer:
You can buy 16.6666666 or 16
Step-by-step explanation:
You just needed to divide 5 by .30
Answer:
5/7
Step-by-step explanation:
Answer:
The probability that the mean receipt for dinner is between $24.50 and $25.50 is
P(24.50≤ x ≤ 25.50)= 0.8324
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of Population(μ) = $25
Given standard deviation of the Population (σ) = 2.30
Sample size 'n' = 40
Let 'X' be the random variable in normal distribution
Given X₁ = 24.50
Given X₂ = 25.50
<u><em>Step(ii):-</em></u>
The probability that the mean receipt for dinner is between $24.50 and $25.50
P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)
P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)
P(24.50≤ x ≤ 25.50)= 2 A( 1.375)
= 2 × 0.4162 ( from normal table)
= 0.8324
<u><em>Final answe</em></u>r:-
The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324
Answer:
Hey there!
Let's solve our equation below.
-2(x+3)= -2(x+1)-4
Let's distribute the parentheses.
-2x-6=-2x-2-4
We combine like terms.
-2x-6=-2x-6
We add 6 to both sides.
-2x=-2x
We divide both sides by -2
x=x
If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.
We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.
Therefore, there are infinitely many solutions.
I hope this helps!
