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
Semenov [28]
3 years ago
9

How to find the point-slope form for the slope of 6 and passing through(-7,1)​

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer: y-1=6(x+7)

Step-by-step explanation:

The formula for point-slope form is y-y_1=m(x-x_1). Since we are given the point and slope, we can directly plug them in.

y-1=6(x-(-7))            [distribute by -1]

y-1=6(x+7)

Now, we know that the point-slope form is y-1=6(x+7).

You might be interested in
1) Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given
neonofarm [45]

Answer:

Check below, please

Step-by-step explanation:

Hello!

1) In the Newton Method, we'll stop our approximations till the value gets repeated. Like this

x_{1}=2\\x_{2}=2-\frac{f(2)}{f'(2)}=2.5\\x_{3}=2.5-\frac{f(2.5)}{f'(2.5)}\approx 2.4166\\x_{4}=2.4166-\frac{f(2.4166)}{f'(2.4166)}\approx 2.41421\\x_{5}=2.41421-\frac{f(2.41421)}{f'(2.41421)}\approx \mathbf{2.41421}

2)  Looking at the graph, let's pick -1.2 and 3.2 as our approximations since it is a quadratic function. Passing through theses points -1.2 and 3.2 there are tangent lines that can be traced, which are the starting point to get to the roots.

We can rewrite it as: x^2-2x-4=0

x_{1}=-1.1\\x_{2}=-1.1-\frac{f(-1.1)}{f'(-1.1)}=-1.24047\\x_{3}=-1.24047-\frac{f(1.24047)}{f'(1.24047)}\approx -1.23607\\x_{4}=-1.23607-\frac{f(-1.23607)}{f'(-1.23607)}\approx -1.23606\\x_{5}=-1.23606-\frac{f(-1.23606)}{f'(-1.23606)}\approx \mathbf{-1.23606}

As for

x_{1}=3.2\\x_{2}=3.2-\frac{f(3.2)}{f'(3.2)}=3.23636\\x_{3}=3.23636-\frac{f(3.23636)}{f'(3.23636)}\approx 3.23606\\x_{4}=3.23606-\frac{f(3.23606)}{f'(3.23606)}\approx \mathbf{3.23606}\\

3) Rewriting and calculating its derivative. Remember to do it, in radians.

5\cos(x)-x-1=0 \:and f'(x)=-5\sin(x)-1

x_{1}=1\\x_{2}=1-\frac{f(1)}{f'(1)}=1.13471\\x_{3}=1.13471-\frac{f(1.13471)}{f'(1.13471)}\approx 1.13060\\x_{4}=1.13060-\frac{f(1.13060)}{f'(1.13060)}\approx 1.13059\\x_{5}= 1.13059-\frac{f( 1.13059)}{f'( 1.13059)}\approx \mathbf{ 1.13059}

For the second root, let's try -1.5

x_{1}=-1.5\\x_{2}=-1.5-\frac{f(-1.5)}{f'(-1.5)}=-1.71409\\x_{3}=-1.71409-\frac{f(-1.71409)}{f'(-1.71409)}\approx -1.71410\\x_{4}=-1.71410-\frac{f(-1.71410)}{f'(-1.71410)}\approx \mathbf{-1.71410}\\

For x=-3.9, last root.

x_{1}=-3.9\\x_{2}=-3.9-\frac{f(-3.9)}{f'(-3.9)}=-4.06438\\x_{3}=-4.06438-\frac{f(-4.06438)}{f'(-4.06438)}\approx -4.05507\\x_{4}=-4.05507-\frac{f(-4.05507)}{f'(-4.05507)}\approx \mathbf{-4.05507}\\

5) In this case, let's make a little adjustment on the Newton formula to find critical numbers. Remember their relation with 1st and 2nd derivatives.

x_{n+1}=x_{n}-\frac{f'(n)}{f''(n)}

f(x)=x^6-x^4+3x^3-2x

\mathbf{f'(x)=6x^5-4x^3+9x^2-2}

\mathbf{f''(x)=30x^4-12x^2+18x}

For -1.2

x_{1}=-1.2\\x_{2}=-1.2-\frac{f'(-1.2)}{f''(-1.2)}=-1.32611\\x_{3}=-1.32611-\frac{f'(-1.32611)}{f''(-1.32611)}\approx -1.29575\\x_{4}=-1.29575-\frac{f'(-1.29575)}{f''(-4.05507)}\approx -1.29325\\x_{5}= -1.29325-\frac{f'( -1.29325)}{f''( -1.29325)}\approx  -1.29322\\x_{6}= -1.29322-\frac{f'( -1.29322)}{f''( -1.29322)}\approx  \mathbf{-1.29322}\\

For x=0.4

x_{1}=0.4\\x_{2}=0.4\frac{f'(0.4)}{f''(0.4)}=0.52476\\x_{3}=0.52476-\frac{f'(0.52476)}{f''(0.52476)}\approx 0.50823\\x_{4}=0.50823-\frac{f'(0.50823)}{f''(0.50823)}\approx 0.50785\\x_{5}= 0.50785-\frac{f'(0.50785)}{f''(0.50785)}\approx  \mathbf{0.50785}\\

and for x=-0.4

x_{1}=-0.4\\x_{2}=-0.4\frac{f'(-0.4)}{f''(-0.4)}=-0.44375\\x_{3}=-0.44375-\frac{f'(-0.44375)}{f''(-0.44375)}\approx -0.44173\\x_{4}=-0.44173-\frac{f'(-0.44173)}{f''(-0.44173)}\approx \mathbf{-0.44173}\\

These roots (in bold) are the critical numbers

3 0
3 years ago
What is the equation for the line in slope-intercept form?
iragen [17]

Answer:

y = -4x + 5.

Explanation:

Count rise/run to find the slope, find the y-intercept.

5 0
3 years ago
Read 2 more answers
Help with this please
saul85 [17]
7/8 because you subtract them both by either turning them into decimals and subtracting and the
8 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is x-3y= -18 Fully simplify your answer.
qwelly [4]

Answer:

-3

Step-by-step explanation:

Isolate -3y by subtracting x from both sides

-3y = -18 - x

Divide everything by -3

y = 6 + 1/3x

Slope is 1/3, and perpendicular lines have the reverse reciprocal slope, so our slope is -3

7 0
2 years ago
You are trying to hack into your mom's computer. You know your password is 4 letters and then a number but you can not remember
podryga [215]
The amount of passwords you can guess are 4,569,760. 
 How this is found is by multiplying the amount of numbers in the alphabet by itself 4 times, then multiplying by the amount of 1 digit numbers there are, so multiply by 10, it is ten because you can have the number as 1 2 3 4 5 6 7 8 9 or 0, and then the number you get is your answer. Hope this helped! ^_^
7 0
3 years ago
Other questions:
  • a hardware store paid $87.50 for a lawn mower and then sold it for $159.95 what was the gross profit​
    6·1 answer
  • Solving two step equations: <br> -3k = -5k <br> Find "k"
    9·1 answer
  • Veronica is saving money to by a saddle for her horse that costs 175 . She plans to save $10 the first month and then increased
    10·1 answer
  • Find four fractions between 1/10 and 1/8
    5·1 answer
  • 6.2 as a improper faction
    9·1 answer
  • PLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZPLZ!!!!!
    14·1 answer
  • The number of hours you work. Suppose that you earned $102 for working 12 hours, how much
    11·1 answer
  • ANSWER ASAP CORRECT ANSWER WILL GET BRAINLIEST PLUS 78 POINTS
    5·1 answer
  • The perimeter of a rectangular tray is 28 inches. The length of the tray is 2 inches longer the width of the tray. Determine the
    14·1 answer
  • What is the area of a sector when r = 2 and 0 = 1.75 radians?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!