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

Directions: Name the coefficient (s) in the following expressions:

1. 9s + 4t

2. 46rs + 10x

3. 18q + 14x

4. 10x + 14y

5. 17rs + 32x

6. 5x + 7y - 5z

7. 3ab + 70m

8. 3r + 20a + 10m

9. 7k + 16m

10. 7r + 5s

11. 9j + 120m

12. 12k + m

13. 6c + 15h + w

14. 2c - 19d + 12f

15. 3t + 14r - 31j

can someone just answer god

Answers

Answer:

Coeffecients are the letters before the numbers.

1. 9 and 4

2. 40 and 10

3. etc

Step-by-step explanation:

9 and 4
46 and 10
18 and 14
10 and 14
17 and 32
5 and 7 and -5
3 and 70
3 and 20 and 10
7 and 16
7 and 5
9 and 120
12
6 and 15
2 and -19 and 12
3 and 14 and -31

Basically the number before the letter!

Hope this helps!!

You have at most $10 to spend on notebooks and markers. Markers cost $1 each, and
notebooks cost $1.25 each. You want to buy at least 5 items. Write an inequality that
represents this situation. Identify and interpret two solutions.

Answers

Answer is provided in the picture uploaded with steps

Please help I will give good points! Fake answers=report

Answers

Answer:

159

Step-by-step explanation:

10^2+(3+5)^2-5

First do the parentheses: 3+5 is 8

Now the equation is

10^2+8^2-5

Exponents:

10^2 is 100

8^2 is 64

100+64-5

Simplify and you would get 159

Thus the answer is 159

Hope this helps!

First thing we want to know is what it is asking us.

So, it is asking us to evaluate this expression. Which means to find the answer to it.

Second thing is the order of Operations.

P- (Parentheses)

E-Exponents

M Multiplication

D Division

A Add

S Sub

Now that we know what that means, we may now solve it.

you see a parenthesis, right? Do what is inside first

1.3+5=8

Now there is a exponent by the parentheses. We do that next

(Exponent means we times that number by the number. Like 4 to the power of 3 is really just 4x4x4)

2.8 to the power of 2 is 8x8 which is 64.

So, we got 64 down let's see our equation now.

10^2+64-5

Now, the next step in PEMDAS Is to do the exponents. 10 to the power of 2 is really just 10x10.

(A trick is that if you see the little number beside the 10, it means how many zeros there are like 10to the power of 2 is 100)

So, our new equation is

100+64-5.

Now all we have to do it add and sub right to left

100+64=164

Our new equation is 164-5 which is 159.

I hope this helps! If it's wrong blame me..

help ASAP please hmmmm ​

Answers

Answer:

the 3rd and 4th one r correct

Step-by-step explanation:

hope this helps!!!!

How can I Graph
-7x= -105

Answers

Answer:

see explanation

Step-by-step explanation:

- 7x = - 105 ( divide both sides by - 7 )

x = 15

A line with equation x = c is a vertical line parallel to the y- axis passing through all points with an x- coordinate of c

Thus x = 15 is a vertical line passing through all points with an x- coordinate of 15

Plot (15, 0 ) , (15, 3 ) and (15, - 3) and join a straight line through them for graph

76 % of 150 calculate this

Answers

76% of 150 would be 114 I think I’m not to sure tho

I don’t quite understand how to solve question 1-A.

Answers

Answer:

for every 1000 people, the maximum noise level goes up by 1.5

Estimate the product. Then find the actual product.
483 x 9.2
please label what the actual product is and the estimate

Answers

Answer:

it  is in the steps 4443.6 actual product

estimate is 4444

Step-by-step explanation:

483*9.2=4443.6 actual product

Actual Product:

4443.6

Estimated Product:

4444

How is it 4444?

4443.6

the 6 is greater than 5 making the 3 go to 4.

Given this graph of the function f(x) a) b) c) d) please a need help

Answers

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

Bus A and Bus B leave the the bus depot at 2 pm.

Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.

If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Assume the buses have have no breaks in between routes.

Give your answer as a 12-hour clock time.

Answers

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

Please help me with my question

Answers

Answer:

[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]

Given ,

[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]

Also According to Question ,

on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.

Therefore , putting the value of x as ( x = -2 )

[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]

[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]

also given that..

when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)

putting value of x = 1/2 in equation (1)

[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]

Now , we have equations (2) and (3) as...

4a + b = 26... (2)

a + 4b = -56... (3)

multiply equation (2) by 4..

16a + 4b = 104...(4)

Solving equations (3) and (4)

a ‎ ‎ ‎ ‎ ‎+ 4b = -56

16a + 4b = 104

-‎ ‎ ‎ ‎ ‎‎ -‎ ‎ ‎ ‎ ‎- ‎ ‎ ‎ ‎ ‎‎ ( bc signs are same )

solving these equations we get,

-15a = -160

a = -160/-15

a = 32/3

putting value of a in (2) , we get...

[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]

hope helpful~

-5 5/6 - ( -2 1/3 ) + 5 1/6

Answers

the answer is 1 2/3!

A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.

Write an equation that relates C, x and y.

Answers

Answer:

Cy-Cx=10,000 this is the best answer ever

help me with this no links

Answers

Answer:

6 maybe I'm not sure jkeneekenene

Answer:

3x

Step-by-step explanation:

A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:

(3x-3)+(3x-3)=6x-6

And because we are given our perimiter, simply subtract the lengths we do know:

(12x+6)-(6x-6)=6x

This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:

6x/2=3x

Based on this, our length of the indicated side is 3x!

Hope this helped!

HELP!! Select the values for the domain and range of the functions graphed below.

Answers

Answer:

Graph 1

Domain = -8 =< x =< 10

Range = -9 =< f(x) =< 9

Graph 2

Domain = -1 =< x =< 5

Range = -1 =< f(x) =< 2

Explaination:

Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).

Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.

Solve for x. −4.5(x+3.21)= −33.21 HELP PLZ

Answers

Answer:

4.17

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

When two parallel lines are intersected by a transversal, alternate exterior angles are?

1. Different
2. 180 degrees
3. 90 degrees
4. congruent

Answers

1 is your welcome the answer

So im stuck again can anyone help with #4,6,7 TwT srry 2 ask again

Answers

- #4 -

y = 12

[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other

8x - 61 = 6x - 13

8x - 48 = 6x

-48 = -2x

24 = x

[] Then, we will plug it into one of the angles (with x) and solve:

8x - 61

8(24) - 61

192 - 61 = 131

[] Last, these are supplementary angles so we can add them together and set it equal to 180:

131 + 3y + 1 = 180

132 + 2y = 180

2y = 48

y = 12

- #6 -

y = 22

[] First we will solve for x. These angles are vertial angles, so we can do the following:

9x + 42 = 15x

42 = 6x

7 = x -> x = 7

[] Then, we will plug it into one of the angles (with x) and solve:

15x = 15(7) = 105

[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:

4y - 13 + 105 = 180

4y + 92 = 180

4y = 88

y = 22

- #7 -

y = 9

[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:

x + 21 + 3x + 11 = 180

4x + 32 = 180

4x = 148

x = 37

[] Then, we will plug it into one of the angles (with x) and solve:

3x + 11 = 3(37) + 11 = 111 + 11 = 122

[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:

122 = 14y - 4

126 = 14y

9 = y

- See attached for where I pulled numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg

Answers

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

3 1/8 - b = 1 3/4
how do I figure out what b is?

Answers

Exact form: b=11/8

Mixed form: b= 1 3/8
First, your goal is to get the variables to one side, and the numbers to the other. In this case, subtract the 3 1/8 from both sides. Then you will have a negative variable. You can flip the sign on the other side to get a positive variable = a number.

Did not want to do the real math. Explanations are worth more than answer

The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?

Answers

Answer:

  135 ft

Step-by-step explanation:

Each centimeter represents 15 feet, so 9 centimeters will represent ...

  9 × 15 ft = 135 ft

The plane is 135 feet long.

Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition

Answers

Answer:

start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6  

Step-by-step explanation:

Answer A division

Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty

Answers

Answer:

3.7

Step-by-step explanation:

39.5 - 35.8 is 3.7

[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]

if its any number from 5 and larger, you can round it up to a whole.  

please help me with this

Answers

MN= 9.1 cm
LM= 9.9 cm

M(ax+by+c)=0 make y subject

Answers

[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]

Twenty is what percent of 25?

Answers

Answer:

80%

Step-by-step explanation:

20:25*100 =

(20*100):25 =

2000:25 = 80

Now we have: 20 is what percent of 25 = 80

Question: 20 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=25$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=25(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{25}{20}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{20}{25}$

$\Rightarrow x=80\%$

Therefore, $20$ is $80\%$ of $25$.

Hopes This Helps :)

Can someone help me?

Answers

Answer:

d

Step-by-step explanation:

15 more than the quotient of a number x and 12.

Answers

Answer:

(x/12)+15

Step-by-step explanation:

If f(x)=2x+1 and g(x)= x² +3 find g(f(x)) and simplify completely.

Answers

Answer:

4x²+ 4x +4

Step-by-step explanation:

g(f(x)) = (2x + 1)² + 3

= 4x² + 4x + 1 + 3

= 4x²+ 4x +4

Answer:

(4x^2) + (4x) + 4

Step-by-step explanation:

Let a = f(x) = 2x+1

g(a) = a^2 + 3 = (2x+1)^2 + 3 = 4x^2 + 4x + 4

Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)

Answers

look up the pdf of the test
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