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saveliy_v [14]
3 years ago
6

If f(x)=2x+4 and g(x)=x-5, find (f-g)(x)

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

[

f

o

g

]

(

x

)

=

2

x

2

−

1

Explanation:

f

(

x

)

=

2

x

+

5

,

g

(

x

)

=

x

2

−

3

then,

[

f

o

g

]

(

x

)

=

2

(

g

(

x

)

)

+

5

=

2

(

x

2

−

3

)

+

5

[

f

o

g

]

(

x

)

=

2

x

2

−

6

+

5

[

f

o

g

]

(

x

)

=

2

x

2

−

1

Step-by-step explanation:

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olga_2 [115]
This would be 12 - 12*cos(30) = 12 - 6\sqrt{3} =  1.608 ft off the ground. 
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12. Find the values of x and y in the diagram below.
ehidna [41]

Answer:

x = 15

y = 19

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The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)/2 h Solve for a.
yKpoI14uk [10]

Answer:

a=\frac{2A}{h}-b

Step-by-step explanation:

Hello, I think I can help you with this.

According to the information provided in the problem, the area of ​​a trapezoid is given by

A=\frac{a+b}{2} *h\\

Step 1

solve for a, it means isolate a

A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b

Have a good day.

5 0
3 years ago
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{115 - 100}{15}

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

5 0
1 year ago
Compare the two fractions. Use &gt;, &lt;, or =.<br><br> 5/12{ ]3/6
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5/12 < 3/6
The answer is <
3 0
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