1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
2 years ago
8

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g*h) (-3)

Mathematics
1 answer:
polet [3.4K]2 years ago
8 0

Answer:

14/5.

Step-by-step explanation:

(g*h) ( x) =  (x + 1)( 4 - x) / (x - 2)

So (g*h) (-3) =   (4 - -3) (-3 + 1) / (-3-2)

=  7 * -2 / -5

= -14/ -5

= 14/5.

You might be interested in
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th
saul85 [17]

Answer:

The standard form of the ellipse is \frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1.

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y) (1)

If we know that V_{1} (x,y) = (4,0) and V_{2}(x,y) = (4, 14), then the coordinates of the center are, respectively:

(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)

(h,k) = (2,0) + (2, 7)

(h, k) = (4, 7)

The length of each semiaxis is, respectively:

a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}

a = 3

b = \sqrt{(4-4)^{2}+(0-7)^{2}}

b = 7

The standard equation of the ellipse is described by the following formula:

\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1

Where:

h, k - Coordinates of the center of the ellipse.

a, b - Length of the orthogonal semiaxes.

If we know that h = 4, k = 7, a = 3 and b = 7, then the standard form of the ellipse is:

\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1

4 0
2 years ago
If a 45 45 90 triangle has the hypothenuse of 10 what would the legs x and y be
melamori03 [73]

Answer:

Step-by-step explanation:

When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.

10/ sqrt(2) = 7.1 is the rounded answer.

to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)

3 0
3 years ago
A) The cost of tickets to the amusement park is $22 for 1 ticket and $110 for 5 tickets
Sav [38]

Answer:

What's your question?

Step-by-step explanation:

8 0
3 years ago
In a topographical map of a city, the vertices of the city limits are A(10,9),B(18,9),C(18,2),D(14,4.5),E(10,4.5). The coordinat
Viefleur [7K]
I think it’s D??????
3 0
2 years ago
What is the length of segment AB?<br> answer choices are...<br> 10<br> 12<br> 13<br> 15
gogolik [260]

Answer:

15

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • the value of a car depreciates at a rate of 5.4% a year if the costs £6300, how much will it be worth in 3 years
    8·1 answer
  • List factors that are important to you for renting a place to live
    10·2 answers
  • What is the order pair for the orgin
    6·1 answer
  • HELP PLEASE!!Which of the following is an asymptote for the graph below?
    10·1 answer
  • Drawn the graph of y=6-2x on the grid
    7·1 answer
  • Find the domain, holes, vertical asymptotes, horizontal asymptotes, oblique/slant asymptotes, x intercepts, and y intercepts
    7·1 answer
  • Help me please <br> Help me
    9·1 answer
  • Please help! What is the base?
    15·2 answers
  • 9,3,1, what is the sequence and what is it equal to?
    13·1 answer
  • Three pupils are given some books to share among themselves. Molly receives 772 books, which is 345 more than Marie. Marie recei
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!