Answer:
(1, 3)
Step-by-step explanation:
2x + 3y = 11 ------------(i)
-4x + 2y = 2 ------------(ii)
Multiply equation (i) by 2.
(i)*2 4x + 6y = 22
(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}
8y = 24
y= 24/8
y = 3
Plugin the value of y in equation (i)
2x + 3*3 = 11
2x + 9 = 11
2x = 11-9
2x = 2
x = 2/2
x = 1
<h3>
Answer: 7/13</h3>
======================================================
Explanation:
We know that the marble selected is red, so we don't need to focus on the other colors.
7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.
The probability the red marble came from urn B is therefore 7/13
The question is incomplete. Below you will find the missing graph.
The lowest value of the range of the function shown on graph is (B) -2.
Graph is the pictorial representation of the function or mathematical relation.
The lowest value of the graph is the value of y when 
gives the least value.
From the given graph we can clearly see that at 
the graph of the given function approaches the least value which is -2.
So the lowest value of the range of the function shown on the graph is -2.
Hence the correct option is (B).
Learn more about Graph here -
brainly.com/question/4025726
#SPJ10
<h3>Answer: A. 5/12, 25/12</h3>
============================
Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
--------
The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
Answer: A= 68 square centimeters
Step-by-step explanation:
A= 
+
/2 x h
6+11=17
17/2=8.5
8.5 x 8= 68
