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enot [183]
3 years ago
12

Find the inverse function of g(x) = 2x + 4.g -1(x) = 4x + 2 g -1(x) = 2 x + g -1(x) = x - 2g -1(x) = 2x - 4

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0
Exchange x and y and solve for y

y=2x+4
x=2y+4
2y=x-4
y = x/2 - 2
g(x)=x/2 - 2
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kotykmax [81]
<span>A plane is a flat surface that extends infinitely in all directions; thus, a lot of points can be found on a given plane. The plane can be named by taking any three points on it, in no specific order, as long as these points are not on a straight line. An example is plane ABC, given that points A, B and C are found on the plane and are not collinear.</span>
5 0
3 years ago
PLS HELP DUE SOON WILL MARK BRAINLIEST
Eva8 [605]

Answer:

you have 9 yes and 3 no. so 3/9=1/3=.333

6 0
3 years ago
Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h
kozerog [31]
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\  \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\  \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\  \\  \therefore P= \frac{50,000}{81.770994} =\$611.46

Therefore, her monthly payment is about $611.50
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3 0
3 years ago
A clothing store has the sign shown in the shop window.
kicyunya [14]

Pani would pay $59 if she gets a discount of $3 on each shirt and $3 on each jeans

Step-by-step explanation:

Given

Price of shirt = $12

Price of jeans = $19

Price of shirt after $3 discount = 12-3 = $9

Price of jeans after 3 discount = 19-3 = $16

So

The total money Pani has to pay will be:

9(3)+16(2)\\=27+32\\=\$59

Pani would pay $59 if she gets a discount of $3 on each shirt and $3 on each jeans

Keywords: Discount, percent

Learn more about discount at:

  • brainly.com/question/4703820
  • brainly.com/question/4706270

#LearnwithBrainly

8 0
3 years ago
The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
2 years ago
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