please help i don’t know if i got the right answer

Answer:

a) Equation of the tangent of the parabola

12 x - y -16=0

b)

slope of the tangent  at x=2.1

[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]

slope of the tangent  at x=2.01

[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]

Step-by-step explanation:

Step(i):-

Given parabola  y = x³  ....(i)

Differentiating equation (i) with respective to 'x'

  [tex]\frac{dy}{dx} = 3x^{2}[/tex]

slope of the tangent

[tex](\frac{dy}{dx})_{(2,8)} = 3x^{2} = 3(2)^{2} =12[/tex]

Step(ii):-

Equation of the tangent of the parabola

[tex]y-y_{1} = m (x-x_{1} )[/tex]

y-8 = 12 (x -2)

12 x - 24 -y +8 =0

12 x - y -16=0

b)

slope of the tangent  at x=2.1

[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]

slope of the tangent  at x=2.01

[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]

Answer:

750 feet below sea level

Step-by-step explanation:

This submarine is now 750 feet below sea level because:

450 + 300 = 750.

So, the answer is 750.

Hope this helps you!

Answer:

+9-22=-13

Step-by-step explanation:

Its 13 yrds lost

Answer:

H = 3t + 8

Step-by-step explanation:

Since the plant has an initial height of 8 inches, this will be added to the amount it grows each month.

3t will represent how much it grows t months after he bought the plant, since it grows 3 inches each month.

So, the equation will be H = 3t + 8

Answer:

it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7

Answer:

your slope 1/7x and your y-int is -1/7. Hope this helps!

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

between each point on the graph, the line goes down two and over one. 2/1 = 2. the slope is negative because it goes downwards

Answer:

slope could be -2/1. or -2

Step-by-step explanation:

if you do rise and run/ look at the change

rise: 2_____change in y:-2

run: 1______change in x:1

HOPE THIS HELPS!

Answer:

See attached graph.

Step-by-step explanation:

This equation is already in slope-intercept form.

This means the term next to the x is the slope, and the constant being added is the y-intercept.

We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].

A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.

This info can help us make the graph.

Hope this helped!

Answer:

90 in

Step-by-step explanation:

15 x 6 = 90 in

This is because

6 x 12 hrs = 3 days

Answer:

90 inches total

Step-by-step explanation:

1 day= 24 hours

12x2=24

15x2=30

30x3=90

3o inches of snow in a full day, and 3 days of snow so 90 inches total

Answer:

480

Step-by-step explanation:

4000 * 0.12 = 480

Answer:

the answer is 480

Step-by-step explanation:

Write 12% as

12

100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

12/100 of 4000

12/100 × 4000

Answer:

Step-by-step explanation:

first convert feet to inches because the measure of cubes is in inches

( 12 inches=1 foot)

9 ft = 12*9=108 inches

8 ft=12*8=96 inches

7 ft= 12*7=84

the volume of the one cube= 5*5*5=125

volume of the classroom: 108*96*84=870912

divide : 870912/125=6967 cubes

Answer:

end point of a segment  X₂ = - 8 ;  Y₂ = 21

Step-by-step explanation:

given;

midpoint = ( Mx = -4 , My = 13 )

endpoint ₁  = ( X₁ = 0 ,  Y₁ = 5 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 4 = (0 + X₂) / 2                 13 = (5 + Y₂) / 2

-8 = 0 + X₂                         26 = 5 + Y₂

X₂ = -8                                    Y₂ = 21

Answer:

  $93.75

Step-by-step explanation:

Multiply the conversion equation by 75:

  €1 × 75 = $1.298 × 75

  €75 = $93.75

Answer:

Hey there!

Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.

Hope this helps :)

Answer:

$17.82

Step-by-step explanation:

[tex]125.05 - 28.35 = 96.7 \\ 96.7 - 78.88 = 17.82[/tex]

Answer: $232.48

Step-by-step explanation: an equation you could use would be:

125.25+(28.35+78.88)

Add parentheses: 28.35+78.88= 107.23

Add the rest: 125.25+107.23= 232.48

Answer: m(x) = -7x

Step-by-step explanation:

egen2020

The which function has an inverse that is a function is m(x) = -7x

let f be a Function. If any horizontal line intersects the graph of f extra than once, then f does now not have an inverse. If no horizontal line intersects the graph of f greater than once, then f does have an inverse. The belongings of getting an inverse may be very vital in arithmetic, and it has a call.

There are one-of-a-kind forms of inverse function just like the inverse of trigonometric functions, the inverse rational capabilities, inverse hyperbolic features, and inverse log capabilities.

Learn more about Function here https://brainly.com/question/10439235

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Answer:

Step-by-step explanation:

Explanation:

Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.

Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.

Answer:

41/120, 7/20, 43/120, 11/30, 3/8

Step-by-step explanation:

Write the numbers.

1/3 & 2/5

We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.

Multiply 1/3 by 20/20:

1/3 = 20/60

Multiply 2/5 by 12/12:

2/5 = 24/60

Let's multiply each fraction again, but this time by 2/2.

1/3 = 40/120

2/5 = 48/120

Now it's easy to find 5 numbers between 40 and 48, so we get:

41/120, 42/120, 43/120, 44/120, 45/120

Some of these fractions can be reduced, so our answer is:

41/120, 7/20, 43/120, 11/30, 3/8

Answer:

[tex]x=2y+6[/tex]

Step-by-step explanation:

So we have the system:

[tex]-x+2y=-6\\3x+y=8[/tex]

If we isolate the x-variable in the first equation:

[tex]-x+2y=-6[/tex]

Subtract 2y from both sides:

[tex]-x=-6-2y[/tex]

Divide both sides by -1:

[tex]x=2y+6[/tex]

Therefore, we would substitute the above into the second equation:

[tex]3x+y=8\\3(2y+6)+y=8[/tex]

The answer is 2y+6

Further notes:

To solve for the system, distribute:

[tex]6y+18+y=8[/tex]

Simplify:

[tex]7y+18=8[/tex]

Subtract:

[tex]7y=-10[/tex]

Divide:

[tex]y=-10/7\approx-1.4286[/tex]

Now, substitute this value back into the isolated equation:

[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]

Step-by-step explanation:

Start by solving the equation for x (☓)

[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]

[tex]x = 6 + 2y[/tex]

[tex]3(6 + 2y) + y = 8[/tex]

[tex]y = - \frac{10}{7} [/tex]

[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]

[tex]x = \frac{22}{7} [/tex]

[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]

[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]

Answer:

59

Step-by-step explanation:

Answer:

morning - 40

afternoon - 85

Step-by-step explanation:

The bus traveled 40 miles in the morning and 85 miles in the afternoon.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The school bus traveled five miles more on a field trip in the afternoon than it did in the morning. If the journey was 125 kilometers long

Let x the distance traveled by bus in the morning.

As per the given condition, we can get the equation shown below:

⇒ x + 2x + 5 = 125

⇒ 3x + 5 = 125

⇒ 3x = 120

⇒ x = 40

In the afternoon, the bus traveled 2x + 5 miles.

Now substitute the value of x in the equation for the afternoon miles to include:

⇒ 2 × 40 +5 = 85

Therefore, the bus traveled 40 miles in the morning and 85 miles in the afternoon.

Learn more about the equation here:

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Answer:

12 inches

Step-by-step explanation:

area of square is given by side ^2 = side * side

given

area of square print = 9 sq. inches

side ^2 = 9 sq. inches

[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]

Thus, side length of print is 3 inches.

Perimeter of square is given by 4*side

Perimeter of print is =   4*side = 4*3 inches = 12 inches    answer

Answer:

  3) Dilation and rotation

Step-by-step explanation:

Rotation, translation, and reflection are rigid motions. They always result in congruent figures. If you don't want a congruent figure, you need to have dilation by a factor other than 1.

Similar, but not congruent, figures will be created by ...

  Dilation and Rotation

Answer:Dilation and rotation

Step-by-step explanation:

Answer:

0.3125

Step-by-step explanation:

type that into a calculator

Answer:

AD=2

Step-by-step explanation:

[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]

Answer:

1,8.9

Step-by-step explanation:

Answer:

(a) angle ACB is not proper way

Answer:

A.

Step-by-step explanation:

We can read the angle with the labels found in answers B, C and D.

how can a+b=0?

is a+b=0 a single word followed by the question mark ? the sentence is not complete if “a+b=0” is the subject, it’s like: how can cat?

is the sentence rather: how can a+b be equal to 0 ( meaning zero) ? in that case, supposing we are talking of the usual sum of two elements of an additive group : how can the sum of a and b, written a+b, can be equal to zero, then this seems more like a question about what powers do have any two elements of a group to, by association through addition, to obtain a zero value. Like “how can my brother and me get one of these chocolates ?”

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Now, in your question, maybe a and b are not any two elements of said group but elements well identified before,

suppose you know a is 1 and b is -1 for instance. Then how can 1–1=0? is a very good question : it marvels at the fact that the addition does what it is supposed to do. Lots of things don’t, and lots of people take it for granted that things do what they are supposed to de, like speeds add up, etc.

let’s suppose for example, a is 1 and b is 2.

Then your question is very justified : how can 1+2 be equal to 0 ? it’s a scandal, either the computer is broken, or my mind is , and if anywhere in the world 1+2 =0, there is something wrong with the world.

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Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

27.89

Step-by-step explanation:

It is 27.89 because if you subtract 2 from 30 you get 28 and 28- 0.11 is 27.89