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Free_Kalibri [48]
3 years ago
8

Question 1 plz show ALL STEPS

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

1a= 10

Step-by-step explanation:

f(g(1) = 3( - 2(1) + 7) - 5

= 3(5) - 5

15 - 5 = 10

romanna [79]3 years ago
6 0

Answer:

Step-by-step explanation:

f(x) = 3x - 5

g(x) = - 2x + 7

<em>(a)</em>. <em>f(g(1)) = 10</em>

g(1) = - 2(1) + 7 = 5

f(5) = 3(5) - 5 = <em>10</em>

<em>(b).</em> <em>f(g( - 4)) = 40</em>

g( - 4) = - 2( - 4) + 7 = 15

f(15) = 3(15) - 5 = <em>40</em>

<em>(c).</em> <em>g(f( - 2)) = 29</em>

f( - 2) = 3( - 2) - 5 = - 11

g( - 11) = - 2( - 11 ) + 7 = <em>29</em>

<em>(d).</em> <em>g(f(3)) = - 1</em>

f(3) = 3(3) - 5 = 4

g(4) = - 2(4) + 7 = <em>- 1</em>

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Elsa earns 5140 for working 20 hours
lys-0071 [83]

Answer:

$2.57

Step-by-step explanation:

divide 5,140 by 20,

5,140/20=257=2.57

7 0
2 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
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c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
3 years ago
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Two sides of an isosceles triangle measure 3 inches and 7 inches. Which could be the length of the third side?
slamgirl [31]

Answer:

7

Step-by-step explanation:

6 0
2 years ago
Simple: get the Equation
ivanzaharov [21]

Answer:

y=10x+10

Step-by-step explanation:

7 0
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lina2011 [118]

Answer:

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Step-by-step explanation:

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3 years ago
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