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

Answers

Answer 1

Answer:

B. 2x+y+2+=0

Step-by-step explanation:

Given: x=3

First: you substitute for x in y=x^3-2x^2-3x-8

y=(3)^3-2(3)^2-3(3)-8

y=-8

Now all you have to do is plug y in each of the answers until you get 3 for x.

A. 2x-(-8)+2=0

   2x+10=0

   2x=-10

   x=-5

B. 2x+(-8)+2=0

   2x-6=0

   2x=6

   x=3

C. 2x+(-8)-2=0

   2x-10=0

   2x=10

   x=5


Related Questions

1. What translation is made from f(x) → -f(x)?

Answers

Answer: this is a reflection across the x-axis

how much coffee is in the cup, it the cup if 7 feet by 7 feet, and 1 cubic foot = 7.48052

How much coffee in the cup, please show how you did it with pi, volume radius etc. ​

Answers

Answer:

the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot

211.55 x 7.48052 =1583.36 gallons.

Step-by-step explanation:

(This is easy, but confusing) What is 1+ 2+ 3+ 4+ 5 -6 divided by 7 times 8 - 9???

Answers

Answer:

=-0.8

Step-by-step explanation:

1+2+3+4+5-6÷7×8-9

15-6÷7×8-9

15-0.85×8- 9

15-6.8-9

=-0.8

By which rule are these triangles congruent?

АА
SAS
SSA
AAS

Answers

Answer:

it's AAS is my opinion

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!

please help, thank you!

Answers

Answer:

x = 6

Step-by-step explanation:

45°+45°+m∆2 = 180°

m∆2 = 90°

; m∆2 = 16x-6

90 = 16x-6

96 = 16x

96/16 = x

6 = x

i see the other person already told u the answer so i want points don’t mind meee

Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).
2) Suppose the parallelogram is reflected over the x-axis, which vertex of the parallelogram will have the same coordinate before and after the reflection?
A) (0, 3)
B) (2, 0)
C) (2, 5)
D) (4, 2)

Answers

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

3. Avery noticed that of the apples in a basket are red. There are 45 red apples in the basket.
(a) Represent the situation with an equation. Use a for the variable.
(b) Solve the equation in Part (a). Show your work.
(c) What does the solution of the equation represent in the situation?

Answers

Answer:

Step-by-step explanation:

Something missing in "noticed that of the apples."  Perhaps "that 40% of . . .?"

But I'll try to answer, using an example:  

Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.

To find the total number of apples, X:

(0.30)X = 45

X = 150 apples total.  45, or 45/150, is 0.3 0r 30%.

Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt

Answers

Answer:

Ali= x + 5

Aunt= 4x

If you walked for 5 minutes, what would the ratio of feet to minutes be? Use your steps to minutes ratio from Task 1 to determine a ratio of feet to minutes. Show your calculation.

Answers

Answer:

2:1 RATIO

Step-by-step explanation:

If you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

How did we get the value?

To determine the ratio of feet to minutes, we can use the steps to minutes ratio from Task 1. Let's find the steps-to-feet ratio first:

Steps:Feet

4:10

6:15

12:30

30:40

Now, let's calculate the steps-to-feet ratio by finding the average of the steps-to-feet ratio from all the given data points:

Average Steps-to-Feet Ratio = [(10/4) + (15/6) + (30/12) + (40/30)] / 4

Average Steps-to-Feet Ratio = (2.5 + 2.5 + 2.5 + 1.333) / 4

Average Steps-to-Feet Ratio = 2.1665

Now, for the question at hand, if you walked for 5 minutes, the ratio of feet to minutes would be approximately 2.1665 feet per minute.

learn more about ratio: https://brainly.com/question/12024093

#SPJ3

If Sally has 5 apples and Joe has 2 more apples than Sally but Joe gets robbed how many apples does Sally and Joe have all together

Answers

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$16. Option B is a commission rate on weekly​ sales, and he averages ​$6400 in sales each week. What commission rate does he need to have to earn the same amount with the two​ options?

Answers

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

I would appreciate if some would help me w 13 ^^ ty

Answers

I think the answer is 8 I’m not sure tbh

PLEASE HELP QUESTION IN PICTURE.

Answers

Answer:

D

Step-by-step explanation:

Answer:

12 square units

Step-by-step explanation:

once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12

True or false: In(x+y)- In(x+y)=0. Explain your thinking.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf ln(x + y) - ln(x + y) [/tex]

[tex] \sf ln( \frac{x + y}{x + y} ) [/tex]

[tex] \sf ln(1) [/tex]

[tex] \sf0[/tex]

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!

What is 11k+9=42 ? and how to do the work for it

Answers

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

Answer:

k = 3

Step-by-step explanation:

[tex]11k+9=42\\\\11k+9-9=42-9\\\\11k=33\\\\\frac{11k}{11}=\frac{33}{11}\\\\k=3[/tex]

Insert two rational number between 1.3 bar and 1.4 bar​

Answers

General method:

Given numbers are 1.3 bar and 1.4 bar

1.3 bar = 1.333...1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

https://brainly.com/question/85169?referrer

____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry

Answers

Answer:

Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.

Step-by-step explanation:P I E C K_______

help please anybody which too are correct ​

Answers

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps

what number set does -7 belong to

Answers

Answer:

Integers

Step-by-step explanation:

Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.

Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?


pls help and please show how you got it pls

Answers

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

help ASAP please which too answers are correct ​

Answers

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

F(x)=-2x+4 g(x)= -2x^3 -3

find f(4) and g(-3)

simplify as much as possible

Answers

f(4)= -4 and g(x)= 213

please help me if you know thank you :)))

Answers

Answer:

a) -inf b) DNE c) 2 d) 3 e) 1

Step-by-step explanation:

Im not 100% sure about c and d

A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.

The scale is 2 cm:7 m. What are the width of the actual parking lot, if the

drawing width is 7.5 cm?

Answers

Answer:  26.25 meters

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

Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

Helppppppppppp!!!!!!!!!!!

Answers

A parallel line must have the same slope. The only one it can be is A

Solve for x
−4x+60<72 OR 14x+11<−31

Answers

Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour

Answers

350.15 divided by 23.5 hours equals 14.90

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard

Answers

Answer:

$49

Step-by-step explanation:

70 x 30%

70 x 0.3

21

70 - 21

49


Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box

Answers

Daniel has 37 photos
The answer is 37 photos
Hope this helps

Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)

A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3​

Answers

Answer:

ABE

Step-by-step explanation:

Perpendicular means the slope of the line and the answer are reciprocal to each other.

The slope of the line is -1/2, which means the slope of the answer should be 2.

From A we got: y=2x-1

B:y=2x

C:y=-2x+1

D:y=-1/2x-2

E:y=2x-3

So the answer is ABE

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