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
Dafna1 [17]
3 years ago
5

Determine the domain and range of the given function. The domain is The range is

Mathematics
2 answers:
astra-53 [7]3 years ago
6 0
What is the function?
hoa [83]3 years ago
3 0
Domain: all values that go into a function
range: difference between the lowest and highest values
You might be interested in
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
11Alexandr11 [23.1K]

Answer:

Take b = \frac{-17}{25}(7,1) as the projection of u onto v and w \frac{1}{25}(-31,217) as the vector such that b+w =u

Step-by-step explanation:

The formula of projection  of a vector u onto a vector v is given by

\frac{u\cdot v}{v\cdot v}v, where cdot is the dot product between vectors.

First, let b ve the projection of u onto v. Then

b = \frac{u\cdot v}{v\cdot v}v= \frac{-6\cdot 7+8\cdot 1}{7\cdot 7+1\cdot 1}(7,1) = \frac{-34}{50}(7,1) = \frac{-17}{25}(7,1)

We want a vector w, that is orthogonal to b and that b+w = u. From this equation we have that w = u-b = (-6,8)-\frac{-17}{25}(7,1)= \frac{1}{25}(-31,217)[/tex]

By construction, we have that w+b=u. We need to check that they are orthogonal. To do so, the dot product between w and b must be zero. Recall that if we have vectors a,b  that are orthogonal then for every non-zero escalar r,k the vector ra and kb are also orthogonal. Then, we can check if w and b are orthogonal by checking if the vectors (7,1) and (-31, 217) are orthogonal.

We have that (7,1)\cdot(-31,217) = 7\cdot -31 + 217 \cdot 1 = -217+217 =0. Then this vectors are orthogonal, and thus, w and b are orthogonal.

5 0
3 years ago
(1+1/1)(1+1/2)(1+1/3)......(1+1/n)=n+1
podryga [215]

(2/1 )(3/2)(4/3)...(n-1/n-2)(n/n-1)(n+1/n) = n + 1

n + 1 = n + 1

1 = 1 ( Fact )

Thus it is not importent what the value of n is at all because the equation is always have the equal number ( which is 1 ) in both sides .

6 0
3 years ago
Read 2 more answers
How to do this plz tell​
VARVARA [1.3K]
3. = 6/12
6. = 4/6
9. = 8/12
12. = 9/12
15. = 9/9
18. = 4/6
Hope this helps !
6 0
3 years ago
Read 2 more answers
Simplify 16-4 [3+2÷(9-7)
elena-14-01-66 [18.8K]
16 - 4 [ 3 + 2 / (9 - 7)]
16 - 4 [ 3 + 2 / 2)]
16 - 4 [ 3 + 1 ]
16 - 4 [4]
16 - 16
0 <===
5 0
3 years ago
Read 2 more answers
Which equation represents a linear function?
olga nikolaevna [1]

Answer: Equation 3

Step-by-step explanation:

It does not have any exponents, meaning it's linear

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need to know what 1608 divided by 6 is plz
    6·2 answers
  • Question #12 Please help
    8·1 answer
  • What would this be ?
    10·1 answer
  • Marcus is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the r
    6·1 answer
  • How to convert 3.8 km into mm
    5·1 answer
  • Carl wants to buy a television that costs $745, including taxes. To pay for the television, he will use a payment plan that requ
    15·1 answer
  • The number of hours of​ daylight, H, on day t of any given year​ (on January​ 1, tequals​1) in a particular city can be modeled
    13·1 answer
  • at the six grade school dance there are 132 boys, 89 girls and 14 adults. write the ratio of the number of girls to the number o
    14·2 answers
  • The gross domestic product (GDP) of the United States is defined as
    5·2 answers
  • Use mathematical induction to prove the statement is true for all positive integers n. 1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = (n(2n-
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!