X = smaller number, y = larger number
x + y = 15.....x = 15 - y
4x = 2y - 60
4(15 - y) = 2y - 60
60 - 4y = 2y - 60
60 + 60 = 2y + 4y
120 = 6y
120/6 = y
20 = y <==== larger number is 20
x + y = 15
x + 20 = 15
x = 15 - 20
x = - 5
If 100 miles = 1 in.
650 = 6.5 x 100 and 6.5 x 1 = 6.5
so, if the journey is 650 m...... the map is 6.5 in.
Answer:
<u><em>canvases over weeks
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<u><em>Step-by-step explanation:
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<u><em>Given:
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<u><em>w(h) represents how many hours per week
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<u><em>c(t) approximates how many canvases she paints per hour
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<u><em>In function composition, if we have two function f(x) and g(x) then
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<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
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<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6
Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
11 = -3k - 22 - 8k
11 = -11k - 22 <em>added like terms (-3k and -8k)</em>
<u>+22</u> <u> +22 </u>
33 = -11k
-3 = k
Answer: k = -3