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Lelechka [254]
3 years ago
12

Find the derivative of f(x) = -5/x at x = 11.

Mathematics
1 answer:
frozen [14]3 years ago
3 0
Hello : 
f'(x) = 5/x²
<span>the derivative of f(x) = -5/x at x = 11.is : f'(11) = 5/11² = 5/121</span>
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The equation of line L is y=5x+1
Nookie1986 [14]

Consider the complete question is "The equation of the line L_1 is y=5x+1 and the equation of line L_2 is 2y-10x+3=0. How can you show that these two lines are parallel?"

Given:

Equation of L_1 is y=5x+1.

Equation of L_2 is 2y-10x+3=0.

To show:

The these line as parallel.

Solution:

We have,

y=5x+1        ...(i)

2y-10x+3=0      ...(ii)

Equation (ii) can be written as

2y=10x-3

y=\dfrac{10x-3}{2}

y=\dfrac{10x}{2}-\dfrac{3}{2}

y=5x-\dfrac{3}{2}           ...(iii)

Slope intercept form of a line is

y=mx+b          ...(iv)

where, m is slope and b is y-intercept.

On comparing (i) with (iv), we get slope of line L_1.

m_1=5

On comparing (iii) with (iv), we get slope of line L_2.

m_2=5

Since, m_1=m_2, therefore, lines L_1 and L_2 and parallel because slope of two parallel lines are always equal.

Hence proved.

8 0
3 years ago
PLEASE HELP ILL GIVE YOU BRAINLIIEST
AlekseyPX

Answer:

the first term is a1

the 8th term is a8

the 4th term is a4

we have:

a8=a1.3^{7}\\\\4374=a1.3^{7}\\\\a1=2

with a1 = 0,002 => a4 = a1.3³ = 2.27 =54

Step-by-step explanation:

3 0
3 years ago
A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.
dezoksy [38]
So y=mx+b

cost=m(number of pages)+b

cost=y
# of pages=x


so points are
(x,y)
(50,1.55)
(100,2.25)
(150,2.95)
(20,3.65)


so solve for slope/m you do  (y₁-y₂)/(x₁-x₂) so
just use any for example
(1.55-2.25)/(50-100)=-0.70/-50=1 times 0.7/50=7/500= (to convet to decimal form) 14/1000=1.4/100=0.14/10=0.014/1=0.014

slpoe is 0.014

y=0.014x+b

input one of the points exg 50 for x and 1.55 for y and solve for b
1.55=0.014(50)+b
1.55=.7+b
subtract .7 from both sides
0.85=b

so the equation is
y=0.014x+0.85

which is C
7 0
3 years ago
The x coordinates of the point where 2y-x=10 intersect the line y=3x​
Andrei [34K]

Answer:

5

Step-by-step explanation:

2y=10+x

y=3x

Equalizing both sides:

10+x=3x

10=3x-x

10=2x

x=5

8 0
3 years ago
Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each boo
Kobotan [32]

Answer:

(x+y) / 72

Step-by-step explanation:

Kate needs to read 2 books

she's not sure how many pages are in each book.

Let

Number of pages in the first book = x

Number of pages in the second book = y

Total pages of the two books = x + y

Kate's summer vacation = 72 days

she is planning to read the same number of pages each day of her summer vacation.

Number of pages she will need to read each day = (x+y) pages / 72 days

Number of pages she will need to read each day = (x+y) / 72

6 0
3 years ago
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