Answer : yes
explication :
Answer:
12x + 18y + 6z + 4x - 4z
Step-by-step explanation:
Given the expression : 3(4x + 6y + 2z) + 4(x – z)
To eliminate the parenthesis ; we use the distributive property :
3(4x + 6y + 2z) + 4(x – z) becomes ;
3*4x + 3*6y + 3*2z + 4*x + 4*-z
12x + 18y + 6z + 4x - 4z
Hence,
12x + 4x + 18y + 6z - 4z
16x + 18y + 2z
Answer:
Factorial design
Step-by-step explanation:
Factorial design refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. A factorial design is often used by to understand the effect of two or more independent variables upon a single dependent variable.
Answer:
11/850 or about 1.29%.
Step-by-step explanation:
Prob ( first drawn = heart) = 13/52 = 1/4.
Prob ( second drawn = heart) = 12/51 = 4/17.
Prob ( third drawn = heart) = 11/50.
Required probability = 1/4 * 4/17 * 11/50
= 11/850.
<h3>Part 1</h3>
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
<u>The first binomial can be further factored:</u>
<h3>Part 2</h3>
The quadratic expression needs to have two roots in order to be factored as two binomials.
<u>The discriminant must be positive or zero:</u>
We have a = 3, b = k, c = -8
<u>So we get following inequality:</u>
- k² - 4*3*(-8) ≥ 0
- k² + 96 ≥ 0
<u>Since k² is positive for any value of k, the solution is any value of k:</u>
