The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = [tex]x^{3}[/tex] – 2[tex]x^{2}[/tex] – 3x – 8 at x = 3, find the equation of the line.



Select one:


a. 2x − y + 2 = 0


b. 2x + y + 2 = 0


c. 2x + y − 2 = 0


d. None of these

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

[tex]\mathfrak{7x(-4)} [/tex]

[tex]\mathfrak{=7x*-4} [/tex]

[tex]\boxed{\mathfrak{=-28x}} [/tex]

[tex]\mathbb{MIREU} [/tex]

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was a. $80.07

The cost of the calculator was:

= Cost of calculator x ( 1  - discount)

= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

= $3.17

The total cost would be:

= Cost + Sales tax + Shipping fee

= 70.55 + 3.17 + 6.35

= $80.07

In conclusion, the total is $80.07.

Find out more on such at https://brainly.com/question/11239587.

Answer:

C = 11.18

Step-by-step explanation:

You're trying to find c's value, right?

For triangles, a^2 + b^2 = c^2

What you want to do is replace the values into the formula.

A = 5

B = 10

5^2 + 10^2 = c^2

(^2 means squared by the way if you don't know)

Square the values.

25 + 100 = c^2

125 = c^2

You then have to find the root value of 125. What number squared equals 125?

Using a calculator, you would find the number is 11.18.

So, the value of c is 11.18

Please let me know if that wasn't what the question was asking and I'll try to help :)

Answer:

I know the pythagorean theorem

Step-by-step explanation:

ok

Answer:

you're right, keep it up! you're very smart

Answer:

1:45 pm

Step-by-step explanation:

its the hand thats a littke more on the left after 6

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Answer:

2. (3,4)

Step-by-step explanation:

17 is 60.7% percentage of the number 28.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Answer:

[tex]y=-\frac{12}{5}[/tex]

I think this is the correct answer

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.

Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ

Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

Learn more about CPCTC here:

https://brainly.com/question/9890904

#SPJ7

D. it is d because I said so >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    

Percent Change = (new quantity - old quantity) / old quantity

#2:

(64 - 52) / 52

12 / 52

0.2308

23%

#4:

(12 - 18) / 18

-6 / 18

-0.33

33% decrease

#5:

(10 - 16) / 16

-6 / 16

-0.375

38% decrease

Hope this helps! :)

From figure we have , ∠GFH = 80°  and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°

Now,

In ∆HGF

Since Sum of the angles of a triangle is 180° :  

∠GFH + ∠HGF + ∠GFH = 180°

80° + 60° + 40° = 180°

14° + 40° = 180°

54° = 180° ………..(1)

∠GFH + ∠GFE = 180° [Linear pair]

80° + x° = 180°

x° = 180°-80°

x° = 100°

Hence the value of ∠x is 100°

Among the given options option (D) 100° is correct.

also read similar questions: EFG and ∠GFH are a linear pair, m∠EFG 3n+23, and m∠GFH 4n+17. What are m∠EFG and m∠GFH?...

https://brainly.com/question/1617686?referrer

Angle EFG and gfh are a linear pair the measure of EFG equals 4n + 25 and the measure of gfh equals 3n + 15 what are the measures of EFG and the measure of gfh...

https://brainly.com/question/4787517?referrer

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4

x

2

y

3

Step-by-step explanation:

Answer:

[tex]4x^3y^4[/tex]

Step-by-step explanation:

The value of x is 3.

Given that,

If  [tex]5 + 20 \times 2^{2-3x}[/tex],

And Baseline = [tex]10 \times 2^{-2x}+5[/tex]

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]

                   [tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]

                    [tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]

                   [tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]

                    [tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]

Hence, The required value of x is 3.

For more details about the Exponent refer to the link given below.

https://brainly.com/question/25959524

Answer:

Simon:         55     hours

Alvin:           70     hours

Theodore:  159   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

Answer:

The sum of 7/13 and 11/26 is 25/26.

Step-by-step explanation:

7/13 + 11/26

The common denominator is 26

7/13 *2/2 +11/26

14/26 + 11/26

25/26

Answer:

y=(5/3)x + 5

Step-by-step explanation:

Every line is in the form: y = ax+b. If some points are on this line, they satisfy this equation. So we can write:

-5 = a(-6) + b

0 = a(-3) + b

It's a system of equations. We can solve them by subtracting the second equation from the first:

-5-0 = -6a - (-3a) + b - b

That becomes:

-5 = -3a

Therefore:

a = 5/3

Now we plug this value in the second equation of the system, and find the value of b:

0 = 5/3*(-3) +b

b=5

The final line equation will be: y=(5/3)x + 5

y = [tex]\frac{5}{3}[/tex]x + 5

First, find the slope. The formula to find slope can be defined as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

Given points (-6, -5) and (-3, 0), we can substitute those values in and find that the slope for this line will be [tex]\frac{5}{3}[/tex].

Using slope-intercept form, our equation so far is y = [tex]\frac{5}{3}[/tex]x + b. To find b, we substitute the coordinates of any point and solve. Doing so gets us a value of 5 for b.

Therefore, our final answer is y = [tex]\frac{5}{3}[/tex]x + 5.

Answer:

80%

Step-by-step explanation:

First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%

Answer:80%

Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation:

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

I can't see it can you retake the picture please so I can try to help if I know it?

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

Answer:

it simple there nothing there Step-by-step explanation:

Answer:

Ive alredy answered your quesiton but what ever

20%

43*0.8=34.4

Hope This Helps!!!