Help !!!
See question in image.
Please show workings .
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Help !!!See Question In Image.Please Show Workings .

Answers

Answer 1

Answer:

[tex]\frac{dy}{dx}[/tex] = 2x + 3

Step-by-step explanation:

The gradient function is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

Given

y = x² + 3x + 1, then

[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{2-1}[/tex] + 3[tex]x^{1-1}[/tex] + 0 = 2x + 3[tex]x^{0}[/tex] = 2x + 3 ← gradient function


Related Questions

Which equation is true?
O 1150) = - 150
01 - 150 = 150
- 150 = 150
O-1 - 150= 150

Answers

THe 3rd equation is true

helpppp plzzzzzzzzzzzzzzz

Answers

Answer:

y= 0.2(0.05)^x

A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?

Answers

Answer:

$13.16

Step-by-step explanation:

Last one... hehe- sorry

Answers

Answer:

113

Step-by-step explanation:

I have no idea Imao

Graph the line.
Y+4=1/5(x-1)

Answers

Answer:

graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points

Step-by-step explanation:

The sales tax rate is 5%. If Rebecca buys a lawn mower priced at $61, how much tax will she pay?​

Answers

Answer:

3.05

Step-by-step explanation:

Step-by-step explanation:

(9a4 + 2a2 + 5) – (16a4 – 7a2 + 1)

A. 25a4 – 5a2 – 4

B. –7a4 – 5a2 + 6

C. 25a8 + 9a4 + 6

D. –7a4 + 9a2 + 4

5.Multiply 9x2(2x2 + 8x).

A. 18x4 + 72x3

B. 18x2 + 72x3

C. 11x4 – 17x3

D. 90x4

Select the table that represents a proportional relationship between X and Y​

Answers

A because it’s y = 3x

The answer is A

Step-by-step explanation:

Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.

Answers

Answer: one hosta = $5

One shrub = $8.

Step-by-step explanation:

Let the cost of one hosta be h

Let the cost of one shrub be s

Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:

8h + 5s = 80 ..... i

Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:

9h + 5s = 85 ..... ii

8h + 5s = 80 ..... i

9h + 5s = 85 ..... ii

Subtract i from ii.

h = 5

The cost of one hosta is $5

Since 8h + 5s = 80

8(5) + 5s = 80

40 + 5s = 80

5s = 80 - 40

5s = 40

s = 40/5 = 8

One shrub cost $8.

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

Area of the shaded region = 16(π - 2) in²

Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in

Step-by-step explanation:

Since, BDC is a quarter of the circle with radius = 8 in.

Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]

                                                     = [tex]\frac{1}{4}(64)\pi[/tex]

                                                     = 16π in²

Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(8)(8)[/tex]

                        = 32 in²

Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD

= (16π - 32)

= 16(π - 2) in²

Therefore, area of the shade region = 16(π - 2) in²

Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]

                                            = [tex]\frac{8\pi }{2}[/tex]

                                            = 4π in.

Length of the diagonal of a square = (Side)√2

                                                          = 8√2 in

Perimeter of the shaded region = Length of arc BD + Length of diagonal BD

= 4π + 8√2

= 4(π + 2√2) in.

helpppppppppppp???????????????????????????????????????????????\\

Answers

A. Plane f
B. B, C, F
C. A
D. if you can type two letters in AC, If only one try A

7x (6 x t) and (7 x 6) x t​

Answers

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

help , read the question. please help me

BRAINLIEST !

Answers

Answer:

9.76 years turns 900 dollars into 1200 dollars.

Step-by-step explanation:

A(t) = 900*(1.03)^t

1200 = 900 * (1.03)^t       Divide by 900

1200/900 = (1.03)^t

1.333 = 1.03^t                   Take the log of both sides.

log(1.3333) = t * log(1.03)log 1.3333 = .1249log 1.03     = .0128

1.249 = 0.0128*t

1.249/0.0128 t = 9.76 years.

These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False

Answers

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

Set up the equation you would use to solve the problem.Do not actually solve the equation.

A plane flies 390 miles with the wind and 325 miles against the wind in the same length of time. If the speed of the wind is 10 miles per hour, fine the speed of the plane in still air. (Let x = speed of the plane.)

A. 390/x+20 = 395/x

B. 390/x+10 = 325/x-10

C. 390/x = 325/x-20

D. 390/x-10 = 325/x+10

Answers

Answer: B

Explanation

I believe it’s B because it says when the plane fly with the wind it’s 390miles so if we want to know the speed of the plane In still air it should be 390/x + 10 because we need to consider that the speed of the plane + the speed of wind. While the plane fly at 325 against the wind so it should be 325/x - 10 cuz this time it goes against the wind.

Nayeli brought Jamba Juice smoothies for herself and Evelyn after school one day the smoothies cost 4.95 each plus 8.5% tax how much charge did she receive from a $20 bill

Answers

Answer: $9.26

Step-by-step explanation:

The total cost for each of their smoothies was:

= 4.95 * 2

= $9.90

Including taxes it will rise to:

= 9.90 * (1 + tax)

= 9.90 * (1 + 8.5%)

= $‭10.74

Change she will receive is:

= 20 - 10.74

= $9.26

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

Simplify (right answer only ) : 2(x – 9)

Answers

Answer:

2x-18

Step-by-step explanation:

2(x-9)

distribute the 2 in the ( )

2x-18

Hope this Helps!!!

2x-18 because you distribute the x so you multiply the 2 with x which is 2x and then the 2*9 is 18

The function (n) = nr can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
O the radius of the basketball when the volume is V
O the volume of the basketball when the radius is r
O the volume of the basketball when the radius is V
the radius of the basketball when the volume is r

Answers

Answer:

I believe it represents the volume of the basketball when the radius is r?

A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Answers

Answer:

The equation of the Parabola

 (y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

What is the sum of (8a+2b-4)

Answers

Answer:

2(4a+b-2)

Step-by-step explanation:

All you need to do is factor out 2 from the expression. (sorry if this is wrong)

Alicia drew a map of Texas. In the scale Alicia used for the map, 1/2 inch represents 20 miles. What is the distance between two cities on the map if the actual distance between the two cities is 360 miles?

Answers

Answer:

9 inches

Step-by-step explanation:

Given that,

For the graph, 1/2 inch represents 20 miles.

We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.

1/2 inch = 20 miles

1 mile = [tex]\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}[/tex]

For 360 miles, = 0.025 × 360

= 9 inches

Hence, the required answer is 9 inches.

lua is creating a rectangular prism the base of her prism is shown below she plans to have a height of 7 cubes

what will the volume of the completed figure be?
_______ cubic units

Answers

Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps


HURRY I NEED THIS IN 20 mins please help me

Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.

Answers

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Two cylindrical soup cans have a volume of 40 cubic inches. Can their surface areas be unequal?

Answers

Yes, it is definitely possible that their surface areas be unequal.

solve the system of equations
−4x−3y=-21
x=y

Answers

Answer: x and y = 3

Step-by-step explanation:

The new pastry chef at Jackson's Bakery specializes in sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?

Answers

Answer:

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238

Step-by-step explanation:

Step One:

To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:

Small Sheet Cake - $36Medium Sheet Cake - $46Large Sheet Cake - $56

Step Two:

If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:

= (36 x 17) + (11 x 46) + (56 x 20)

= 612 +  506 + 1120

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:

= $2,238

Cheers!

Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3,200 m.


How many kilometers did Issa travel from school to his house?

Answers

Answer:

9.6km

Step-by-step explanation:

3200/(1/3)=

3200*3/1=9600 m=9.6km

What is the equation of the line that passes through the point (-5,5)and has a slope of -1

Answers

Answer:

          y = - x  

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

Which equation is equivalent to 8x + 2y = 10?

Answers

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

What makes a linear pair with 84°?

Answers

Answer:

as per linear pair axiom it will be X + 84= 180

this answer is 106 degrees

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