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nignag [31]
3 years ago
8

A function that can be written in the form f(x)=ax2+bx+c, where a, b & c are real numbers and a is not equal to zero.

Mathematics
1 answer:
patriot [66]3 years ago
7 0
Hello there!

I'm not exactly sure of what answer you are looking for, however,
f(x)=ax^2+bx+c represents a quadratic function.

Quadratic functions always have their highest exponent at 2, nothing more and nothing less.

Examples of quadratic functions are...
•x^2
•3x^2
•3x^2+2
•3x^2+2x
•3x^2+2x+1

I really hope this helps!
Best wishes:)
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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0
1 year ago
Fifty eight students were surveyed about how frequently they text during lunch. The results are summarized below. Which statemen
umka2103 [35]

Answer:The median number is 9 , Q3 is 11, data is skewed left, lowest 25%

Step-by-step explanation:

4 0
2 years ago
HELP PLZ!
Elza [17]

Answer:

-5 = y

Step-by-step explanation:

{y = 6x − 11

{y = x² + 4x − 10

x² + 4x − 10 = 6x − 11

- [6x − 11] - [6x − 11]

________________________

x² - 2x + 1

{[x - 1]}^{2} = 0

1 = x [Plug this back into both equations above to get the y-coordinate of −5]; −5 = y

I am joyous to assist you anytime.

3 0
3 years ago
ATA movie theater the size of popcorn has decreased by 10%. If the old bag held 14 cups how much does the new bag hold
Burka [1]

I think

Step-by-step explanation:

12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4

3 0
2 years ago
The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab
Tomtit [17]
1 hour: $60
2 hours: $82
3 hours: $104
4 hours: $126
8 hours: $214
4 0
3 years ago
Read 2 more answers
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