Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
Answer: D
Step-by-step explanation:
Sketch and label the sampling distribution for the sample proportion of games containing a big bang, according to the Central Limit Theorem, assuming that the grandfather's null hypothesis is true. Also check whether or not the conditions hold for the CLT to apply. Of the 95 games in our sample, 47 contained a big bang.
Answer:
In the procedure
Step-by-step explanation:
we have
<em>System 1</em>
Ax+By=C -----> equation A
Lx+My=N -----> equation B
<em>step 1</em>
Multiply equation B by -1 both sides
(-1)*(Lx+My=)N*(-1)
-Lx-My=-N ------> equation C
<em>step 2</em>
Adds equation A and equation C
Ax+By=C
-Lx-My=-N
----------------
Ax-Lx+By-My=C-N
(A-L)x+(B-M)y=C-N -----> equation D
step 3
An equivalent system (System 2) is formed with
Ax+By=C -----> equation A
(A-L)x+(B-M)y=C-N -----> equation D
Answer:
A Is the Answer to this problem
Step-by-step explanation:
B is true. C is true. D is true because the are parallel
Answer:
3
Step-by-step explanation:
because 4 times 3=12
then you add 6 to make 18!
