Answer:
b = 3/4
Step-by-step explanation:
Hi!!!
You want the value of B. To get that, we have to divide both sides by 16:
Thus the answer to your question is 
.
<u>Check:</u>
3/4 * 16 = 3 * 4 = 12.
12 = 12
So we are correct!!!
Answer:
D) 0.500
Step-by-step explanation:
Blue Socks = 6
Grey socks = 10
Probabilities to find :
Since there are a total of 16 socks, the probability of both socks being blue is
Probability(blue) = 
The probability of both being grey is
Probability(grey) =
(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)
The probability two socks match:
Probability(blue) + Probability(grey) = 
+ 
= 
=
= 0.500
Answer:
0.5
Step-by-step explanation:
Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.
We want to combine the two fractions into one fraction. Therefore, we need a common denominator.
1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).
the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)
which simplifies to (x-1)/(x^2-1).
and that simplifies further to 1/(x+1).
Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.
limx->1 (1/(x+1)) = 1/2.
The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.
This is easy. He first earned $11 on Saturday and then on Sunday he earned some money. We don't know how much he earned, we just know he earned some money. Let's put the expression together. A good place to start would be the $11. Let's add eleven to the expression. And because he earned some more money, it's going to be addition. So currently, the expression stands at $11 +
And because we don't know how much money he made on Sunday, x will be the variable for how much he earned. So the expression will be
11 + x
Answer:
A) -84x^3 - 8x
B) -91x^4 + 143x^2 - 65x
C) 12b^2 - 7b - 10.
D) 16x^2 - 72x + 81
Step-by-step explanation:
A) -4x(21x^2-3x+2)
B) -13x(7x^3-11x+5)
C) (3b+2)(4b-5)
D) (4x-9)^2
In A) -4x(21x^2-3x+2) we are multiplying the binomial (21x^2-3x+2) by the monomial -4x; there are two multiplications involved:
-4x(21x^2) = -84x^3
and
-4x(-3x+2) = +12x^2 - 8x.
Hence A) -4x(21x^2-3x+2) = -84x^3 - 8x
B) The work done to find the product in B) is similar: Multiply each term in 7x^3-11x+5 by -13x:
The end result is -91x^4 + 143x^2 - 65x
C) Here we are multiplying together two binomials; we use the FOIL method: Multiply together the First terms, then the Outer terms, then the Inner terms, and finally the Last terms. This results in:
(3b+2)(4b-5) = 12b^2 -15b + 8b -10, or, after simplification, 12b^2 - 7b - 10.
In D) we are squaring a binomial. The formula for this is:
(a - b)^2 = a^2 - 2ab + b^2. Here,
(4x - 9)^2 = 16x^2 - 2(36x) + 81, or 16x^2 - 72x + 81
