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Sholpan [36]
3 years ago
6

Which detail in text number one do you better understand because of details in the text number two

Mathematics
1 answer:
g100num [7]3 years ago
4 0
There is no question in this
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For all values of x f(x)
Firlakuza [10]

Answer:

f(g(5)) = 64

g(f(5)) = 28

Step-by-step explanation:

Given  that f(x) = x^2 and g(x) = x+3

f(g(x) = f(x+3)

f(x+3) = (x+3)^2

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

f(g(5)) = (5+3)^2

f(g(5)) = 8^2

f(g(5)) = 64

b) g(f(x)) = g(x^2)

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

g(f(5)) = 5^2 +3

g(f(5)) = 25 + 3

g(f(5)) = 28

Hence the value of g(f(5)) is 28

5 0
3 years ago
Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $485 a month for their daughter Suzanne unti
zhuklara [117]
\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &
\begin{array}{llll}
485\cdot 12\\
\underline{5280}
\end{array}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{a year, thus once}
\end{array}\to &1\\

t=years\to &4
\end{cases}
\\\\\\


\bf A=5280\left[ \cfrac{\left( 1+\frac{0.06}{1} \right)^{1\cdot  4}-1}{\frac{0.06}{1}} \right]

Joe is making $485 payments monthly, but the amount gets interest on a yearly basis, not monthly, so the amount that yields interest is 485*12

also, keep in mind, we're assuming is compound interest, as opposed to simple interest
3 0
3 years ago
A triangle has 2 sides that equal 5 inches. The other side equals 4 inches
miskamm [114]

Answer:

Isosceles triangle

Step-by-step explanation:

It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.

If the first side is represented by x and the second side by y,

x + y = 5

The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.

Therefore using pythagoras equation:

hyp^2 = sqrt(opp^2 + adj^2)

this implies that

4^{2} = \sqrt{x} (x^{2} +y^{2}

therefore

16 = sqrt (x^2 + y^2) ----------------- (i)

since x + y = 5, y = 5 - x ------------------- (ii)

substituting (ii) into eqn (i)

16 = sqrt ( x^2 + (5-X)^2)

16 = sqrt( x^2 + 25 -10x + x^2)

16 = sqrt( x^2 + x^2 - 10x + 25)

16 = sqrt( 2x^2 - 10x + 25)

squaring both sides

256 = 2x^2 - 10x + 25

this can be refined as

2x^2 - 10x - 231 = 0

Solving using quadratic equation:

where a = 2, b = -10 and c = -231

x = 13.53  or -8.53.

Since x is a side of a triangle that cannot be negative,

x = 13.53 but x can never be greater than 5 since x + y = 5

This implies that the triangle is not a right angle triangle; it is most likely an  isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.

substituting for x in

4 0
3 years ago
Problem 2 Example 2: Bruno spends $23 at the arcade. He purchased two drinks and spent $17 on games. What was the cost of each d
stiks02 [169]

Answer:

$3

Step-by-step explanation:

23-17=6

6/2=3

To check:

6+17=23

3 0
3 years ago
Read 2 more answers
Write sin(19°) in terms of cosine.
Leto [7]

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

3 0
3 years ago
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