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AysviL [449]
2 years ago
8

Add: f(x)+g(x) f(x) = 2x2 – 3x² + 7x+1 g(x) = 4x2 + 5x +12 Submit

Mathematics
1 answer:
prisoha [69]2 years ago
8 0

Answer:

f(x) + g(x) = 2x^3 + x^2 + 12x + 13

Step-by-step explanation:

We are given these following functions:

f(x) = 2x^3 - 3x^2 + 7x + 1

g(x) = 4x^2 + 5x + 12

Add: f(x)+g(x)

To add them, we combine the like terms. So

f(x) + g(x) = 2x^3 - 3x^2 + 7x + 1 + 4x^2 + 5x + 12 = 2x^3 + (-3+4)x^2 + (7+5)x + 1 + 12 = 2x^3 + x^2 + 12x + 13

The added function is:

f(x) + g(x) = 2x^3 + x^2 + 12x + 13

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Answer:

1) There are 13 students in Jerry's study.

2) There are 39 students in Kathy's study.

3) Jerry's study is more trustworthy!

Step-by-step explanation:

1) Jerry's study is the one with the dot plot.

Now, the number of students is calculated by adding the total number of dots in the plot.

We have a total of 13 dots.

Thus, there are 13 students in Jerry's study.

2) Kathy's study is the one with the histogram.

The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.

Total number of students = 9 + 11 + 7 + 12 = 39 students

3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.

4 0
3 years ago
#15: Which point in the number line below represents the number opposite the number -5 1/2?
densk [106]

Answer: D

Step-by-step explanation:

You have -5 1/2 to find the complete opposite all you have to do is take away the negative sign and find the number on the number line.

Good luck !

3 0
3 years ago
Find the domain of ( (a+b/b) − (a/a+b))÷( (a+b/a) − (b/a+b) )
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Answer:

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b

Step-by-step explanation:

The domain refers to values for which the expression is defined.

This implies that, the denominators are not equal to zero.

(\frac{a + b}{b} -  \frac{a}{a + b}) \div ( \frac{a + b}{a} -  \frac{b}{a + b})

(\frac{(a + b)(a + b)-ab}{b(a + b)})\div(\frac{(a + b)(a + b)-ab}{a(a + b)})

\frac{(a + b)(a + b)-ab}{b(a + b)} \times\frac{a(a + b)}{(a + b)(a + b)-ab}

\implies \frac{a}{b}

Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b

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Step-by-step explanation:

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