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Darya [45]
3 years ago
7

F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

Mathematics
2 answers:
ziro4ka [17]3 years ago
6 0

Answer:

h(x)=9x-13

Step-by-step explanation:

We want to find out what h(x) is. We know what h(x) is equal to, which is

h(x)= f(x)+g(x)

We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.

h(x)= (2x-1)+(7x-12)

Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.

h(x)=(2x+7x)+(-1+-12)

Add 2x and 7x.

h(x)=(2+7)(x)+(-1+-12)  

h(x)= 9x+(-1+-12)

Add -1 and -12.

h(x)= 9x+(-13)

<u>h(x)=9x-13</u>

WINSTONCH [101]3 years ago
4 0

Answer:

<h2><em>h</em><em>(</em><em>x</em><em>)</em><em>=</em><em>9</em><em>x</em><em>-</em><em>1</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>h(x) = f(x) + g(x) \\  \:  \:  \:  \:  \:  \:  \:  = 2x - 1 + 7x - 12 \\  \:  \:  \:  \:  \:  \:  = 2x + 7x - 1 - 12 \\  \:  \:  \:  \:  \:  \:  = 9x - 13</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

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Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

np=50*0.78=39  \geq 10

n(1-p)=50*(1-0.78)=11 \geq 10

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

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With the following parameters:

\mu_ p = 0.78

\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586

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