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g100num [7]
3 years ago
12

We can find the length of DE using the Pythagorean Theorem:

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
The answer is 

<span>C)  <span>DE = <span>(4 - 1)2 + (1 - 3)<span>2

rewriten 

</span></span></span></span>DE = sqrt (4 - 1)^2 + (1 - 3)^2
prohojiy [21]3 years ago
6 0
What's the difference between A) and C)??
There should be an E) because the correct answer would be in either of these forms:
{DE}^{2}  =  {(4 - 1)}^{2}  +  {(1 - 3)}^{2}  \:  \: or \\  DE  =  \sqrt{( {3}^{2}  +  {2}^{2} )} \:   \: or \\  {DE}^{2}  =  {(4 - 1)}^{2} +  {(3 - 1)}^{2}
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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
4 years ago
Meredith deposits $1,400 into an account that earns 3% annual simple interest. How many years will it take Meredth to earn $294
Valentin [98]

Answer:

21 years

Step-by-step explanation:

8 0
3 years ago
Which equation of the least squares regression line most closely matches the data set?
Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0
3 years ago
Read 2 more answers
I'm confused! Given: f(x) = x 2 + 2x + 1, find f(x + h) and simplify. is that the derivative formula? what should I do?
ZanzabumX [31]
<span>x 2 + 2x + 1 if you wanted is just 4x+1

</span>
7 0
3 years ago
Please help me out on this one please thank hope y’all are safe love you all
inysia [295]

Answer:

it

Step-by-step explanation:

it is C hope this helps

8 0
2 years ago
Read 2 more answers
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