How are slope and derivatives related.

Hello there, hope you are having a nice day.

We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:

y-7=-3(x-(-1)

y-7=-3(x+1)

y-7=-3x-3

Now, we move -7 to the right side, using the opposite operation:

y=-3x-3+7

y=-3x+4

This is the equation of our line. Hope it helps.

Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Answer:

S=16×2

S=32

................................

Answer:

Slope(m)=3

Y-intercept= 0

y = 3x +0

Proportional

Step-by-step explanation:

m = -6--12/-2--4

m=6/2

m=3

-12 = 3(-4) + b

-12 = -12 + b

0=b

Answer:

slope, m = 3

y-intercept, b = 0

Proportional

Step-by-step explanation:

If we assume this is a straight line, we can  calculate the slope between two  of the given points.  I'll pick (-2,-6) and 2,6).

Slope is the Rise (the change in y) over the Run (the corresponding change in x).

Rise for these two points:  6 - (-6) = 12

Run for the points is:  2-(-2) = 4

Rise/Run (Slope) = 12/3 = 4

The line becomes y=3x+b

b is the y-intercept.  We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0.  Behold:  one of the points is (0,0), so we already have b.  It is 0.

y=3x+0

y=3x is the equation.

slope, m = 3

y-intercept, b = 0

A non-proportional graph is a straight line that does not go through the origin.  A proportional graph is one that does, so this is a proportional graph.

Answers:

=================================================

Explanation:

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

[tex]f(x)=53[/tex]

Step-by-step explanation:

For [tex]f(x)=10x-7\\[/tex] substitute x for 6

[tex]10\cdot 6=60\\60-7=53[/tex]

[tex]f(6)=53[/tex]

Answer:

20, 35, 50

Step-by-step explanation:

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

Answer:

4y-4 Hope this helps! :)

Step-by-step explanation:

Answer: x = 3.030631 approximately

Explanation:

If you want to solve for x, then you could follow these steps:

[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]

In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line.  The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]

Step-by-step explanation:

x - 7 < -20

x < -20 + 7

x < -13

X = (-12, -11, -10,...)

[tex] \sf \longmapsto{x}−7<−20[/tex]

Let's start.

[tex] \sf \longmapsto \: x−7+7<−20+7[/tex]

[tex] \sf \longmapsto \: x<−13[/tex]

Answer:

x>1/3

Step-by-step explanation:

unless you are missing something else on the question.

equilateral means all sides are the same

so if one side is 9x-3 the other sides should also be 9x-3

9x-3=0

9x=3

x=1/3

Answer:

not a direct variation

Step-by-step explanation:

x = (y-2)/9 is also x = y/9 - 2/9

we can convert this into slope-intercept form

y/9 = x + 2/9

y = 9x + 2

this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation

the direct variation equation y = kx does not have a b or a y-intercept

Answer:

1. Recursive formula: b(n-1)+2

2. Explicit formula: −2n+5

3. -20

4. 2, 11, 20, 29, 38, 47, 56, 65, 74, 83, 92, 101, 110, 119, 128

Step-by-step explanation:

Answer:

x = 60

y = 30

Step-by-step explanation:

We know that all triangles' interior angles combined must have a sum of 180.

Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.

Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:

90 - 60 = y

90 - 60 = 30

y = 30

Now that we know the value of y, it's time to find the value of x.

We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).

Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:

180 - (90 + y) = x

180 - (90 + 30) = x

180 - 120 = x

180 - 120 = 60

x = 60

This gives us the answers y = 30 and x = 60

Answer:

30y+14

Step-by-step explanation:

add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14

Answer:

Below

Step-by-step explanation:

1. 3x+9=5

2.  3x+9-9=5-9

3. 3x=-4

5. 3x/3=-4/3

6. -4/3

7. -1 1/3

Answer:

The answer is -4/3 or - 1 1/3

Step-by-step explanation:

3x+9= 5

    -9    -9

3x = -4

 /3    /3

Y= -4/3 or [tex]-1\frac{1}{3}[/tex]

Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.

Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now

Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y

Step 4: Divide 3 from -4 and you get -4/3

Let me know if you have any questions and I hope this helps :)

Answer:

_____

Step-by-step explanation:

Im pretty sure it would be 45 ____

Answer:

0.86 as a percent is 86%.

Step-by-step explanation:

Have a great rest of your day

#Nova

P.S

give the braineist to the other person pls

Answer:

y=-4x+8

Step-by-step explanation:

Hi there!

We are given the line y=-4x+1, and we want to write the equation of the line that is parallel to that line and that also passes through the point (2, 0)

Parallel lines have the same slope, so it makes sense to find the slope of the line y=-4x+1

The line is written in the format y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, the slope of the line is -4.

It's also the slope of the line parallel to it.

We can write the slope of the new line in slope-intercept form as well; this is the line so far, after substituting -4 as m:

y=-4x+b

Now we need to find b, which is the value of the y intercept

Remember that are given the point (2,0), which we can use to help solve for b; substitute 2 as x and 0 as y.

0=-4(2)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation:

y=-4x+8

Hope this helps!

Step-by-step explanation:

120÷24

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

Answer:

[tex]k=-2[/tex]

Step-by-step explanation:

Let's write the left hand side as a negative power, and 9 as a power of 3:

[tex]3^-^k=3^2[/tex] At this point, for the equality to still stand, the exponents have to be equal:

[tex]-k = 2 \rightarrow k=-2[/tex]

[tex]\sf 6-2x+5+4x[/tex]

[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]

[tex]\sf \longmapsto - 2x + 4x + 11[/tex]

[tex]\sf \longmapsto2x + 11[/tex]

Answer:

the first option; b = 5 minus three-halves r

Step-by-step explanation:

4b+6r=20

4b=20-6r

b=5-3/2r

Answer: A

Step-by-step explanation: This is the answer for edge 2021 im a student

Answer: 549

Step-by-step explanation:

Answer: x=2  y=18

Step-by-step explanation

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

Answer: i think it's A or D

Step-by-step explanation:

Answer:

A) x > -6

Step-by-step explanation:

X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.

Answer:

a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it

b. He should subtract 1 1/2 instead

c. 3 3/22

Step-by-step explanation:

Work for c.

4 7/11 - 1 1/2

4 14/22 - 1 11/22

3 3/22

-Chetan K

Answer:

3 3/22

Step-by-step explanation:

a) he subtracted 5 from a mixed fraction without converting it first

and for 1 1/2 - sign should be there

b) first convert mixed fraction and add the terms in the parentheses

c) 9 7/11 - (5 + 1 1/2)

= (9*11 + 7) / 11  - ( 5 + (1*2 + 1)/2 )

= 106/11  - (5 + 3/2)

= 106/11 - (5*2 + 3)/2

= 106/11 - 13/2

= lcm of 2 and 11 is 22

= (106*2 - 13*11) / 22

= (212 - 143) / 22

= 69/22

= 66 + 3 / 22

= 3 3/22