Two lines that are parallel have the same slope. Thus, the slope of the given line is 2 and the slope of the new line is also 2.
General slope-intercept equation of a str. line is y = mx + b.
Let m = 2: y = 2x + b
This new line passes thru (3,11). Thus, subst. 3 for x and 11 for y in
y = 2x + b, to find b:
11 = 2(3)+b
11 = 6 + b so b=5
Thus, the equation of the new line, parallel to the old, is y = 2x + 5.
<em>Answer: There are 5 trumpet players and 15 saxophone player</em>
<em>Step-by-step explanation: Let a be the number of trumpet players
</em>
<em>Let b be the number of saxophone players
</em>
<em>---------------------
</em>
<em>(1) a = b-10
</em>
<em>(2) b =3a
</em>
<em>----------------
</em>
<em>Substitute </em>
<em>(2) into (1)
</em>
<em>(1) a =3a-10
</em>
<em>(1) 2a =10 </em>
<em>
</em>
<em> (1) a = 5and
</em>
<em>(2) b = 3(5)(2) </em>
<em>b = 15
</em>
<em>------------------
</em>
<em>There are 5 trumpet players and 15 saxophone player</em>
The outcome for the flip is 2.
Probability:
Probability refer the possibility of the event required.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given,
There are 4 coins.
You get a dollar for every head. all four coins are flipped.
To find the outcome of the flips.
The possible outcomes from the initial flip are:
"4 heads" x 1
"3 heads" x 4
"2 heads" x 6
"1 heads" x 4
"0 heads" x 1
This gives an expected return of
=> (4 + 12 + 12 + 4 + 0)/16 = 2
So, the outcome is 2.
Either if you keep it then you have 2 as outcome of the flips, otherwise if you reflip the coins then you will get the same probability for it also.
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-2w^2=66.54-201.02
-2w^2= -134.48
w^2 = 134.48/2
w=square root of (67.24)=8.20
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
<h3>How to determine if he is correct?</h3>
The points are given as:
(3,6.5) and (4,17.55)
Calculate the rate of change using:
r = y4/y3
This means that:
r = 17.55/6.5
r = 2.7
So, the next point on the graph is:
Next point = 2.7 * y4
Substitute 17.55 for y4
Next point = 2.7 * 17.55
Evaluate
Next point = 47.39
This means that the next point on the graph is (5,47.99)
Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
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