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Anastasy [175]
3 years ago
14

Find the orthogonal projection of f onto g. use the inner product in c[a, b] f, g = b f(x)g(x) dx

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
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Which relation is represented by the arrow diagram?
lorasvet [3.4K]

The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.

Option: C.

<u>Step-by-step explanation:</u>

A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.

It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.

In the given diagram,

The values given in the left are domain and values given in the right are range.

Thus, -3 marks to 4, then can be written as (-3,4).

Similarly,

-1 marks 5 = (-1,5).

0 marks 7= (0,7).

2 marks 2= (2,2).

5 marks 7 =(5,7).

⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.

7 0
3 years ago
Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.
jeyben [28]
18 + 81 = 9(x²<span> + 6x + 9)
</span><span>11 = (x + 3)</span>²

When we are completing the square, we are going to move the value of c across the equals.  We will do that by adding, and end up with

18=9(x²+6x)

We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9

This is the value that completes the square.  However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)

Dividing both sides by 9, we have:
11=x²+6x+9

11=(x+3)²
8 0
3 years ago
Read 2 more answers
jackie drove 7 hours at an average of 60 miles an hour...how far did she travel... pls hurry i need to know soon thx
Furkat [3]

Answer: 420 miles

Step-by-step explanation: She drove 7 hours at an average of 60 mph. You have to do 7 times 60 because each hour she goes 60 miles. 7 multiplied by 60 will give you 420.

4 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t
Mekhanik [1.2K]

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

5 0
3 years ago
The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

4 0
3 years ago
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