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
solmaris [256]
2 years ago
13

9) Write an equation of the line that passes through the point (4, –5) with slope 2.

Mathematics
1 answer:
aleksklad [387]2 years ago
8 0

Answer:

c

Step-by-step explanation:

You might be interested in
Write seven hundred two and six hundred fifty-six thousandths in standard form and in expanded form.
Naddik [55]
Standard Form: 702.656
Expanded Form: 700+2+0.6+0.05+0.006
7 0
3 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

3 0
3 years ago
Which figure has only rotational symmetry
NikAS [45]
Its either A or B but my bets are on A
4 0
3 years ago
Section J in an arena has 20 rows. Each row has 15 seats. Our tickets cost $18 each. If all the seats are sold, how much money w
Helga [31]
Section J has 20 rows....each row has 15 seats....so section J has (20 * 15) = 300 seats. If each seat costs $ 18, and all the seats are sold, then the amount of money collected would be : (300 * 18) = $ 5,400 <=
8 0
3 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
natta225 [31]

Answer:

y = 4x + 4

Step-by-step explanation:

Two points you can see on the graph are (0,4) and (-2,-4)

Now, to find the slope, use delta y/ delta x

(-4-4)/(-2-0)

(-8)/(-2) = 4

Slope is 4.

y = 4x + b

Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.

This value is 4. So, the y-intercept is 4

Substitute into your equation

y = 4x + 4

6 0
2 years ago
Read 2 more answers
Other questions:
  • 39,892 to the nearest 1000 on the number line
    11·1 answer
  • Fill in the missing reason for the argument shown!
    11·2 answers
  • What is the solution to the compound inequality 3x-8&gt;-5 and 2x-7&lt;5
    8·1 answer
  • Solve the system of equations and choose the correct answer from the list of options.
    5·1 answer
  • The LCD for<br> 17 and 1/2<br> is<br> 07<br> 08<br> 15<br> 56
    14·1 answer
  • Someone please help me
    11·1 answer
  • My dog, Lilly, weighs 3.8 pounds.
    7·2 answers
  • Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expen
    8·1 answer
  • Which is the angle of depression from b to c
    7·1 answer
  • The next model of a sports car will cost 4.7% more than the current model. The current model costs $48,000. How much will the pr
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!