Mathematics High School

If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

Answers

Answer 1
The slope of the line is 4.  y = 4x + 2
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.

Related Questions

What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?

Answers

3,6,12...

this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.

start with 3
3 * 2 = 6
6 * 2 = 12
12 * 2 = 24...this would be ur next term

so ur answer is : multiply by 2

Simplify 8 - (-5) - 4(-7).

-63
-15
41
68

Answers

8 - (-5) - 4(-7).
= 8 + 5 + 28
= 13 + 28
= 41

answer
41

Jan can type 61.3 words per minute. How many words can she type during a 15-minute test

Answers

919.5 words
multiply 61.3 x 15

Answer:

919.5

Step-by-step explanation:

Jessie's bus ride to school is 5 minutes more then 2/3 the time roberts bus ride. if jessie's time riding the bus is y and robert's time riding the bus is x write an equation to represent the situation

Answers

x=2/3y because you want to know what roberts time is

Jessie's total bus ride time, represented by y, is 5 minutes longer than [tex]\frac{2}{3}[/tex] of Robert's bus ride time, which is represented by x, leading to the equation y = ([tex]\frac{2}{3}[/tex])x + 5.

Jessie's bus ride to school is 5 minutes longer than [tex]\frac{2}{3}[/tex] the time of Robert's bus ride. Given that Jessie's time riding the bus is represented by y, and Robert's time riding the bus is represented by x, the equation to represent this situation is:

y = ([tex]\frac{2}{3}[/tex])x + 5.

This equation indicates that if you take [tex]\frac{2}{3}[/tex] of Robert's ride time (x) and then add 5 minutes, you'll get Jessie's bus ride time (y).

Please help me on this question and explain your answer thanks

Answers

Each variable used is the first letter of each of their names.

t+b+c=87
c=2t
b=t+7

Substitute for b and c
t+ (t+7)+2t= 87
4t+7=87
4t=80
t=20

Plug in the known t value.
c=2(20)
c=40

b=20+7
b=27

Final answer: Tammy=$20, Boris= $27, Carlos=$40

Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save to exceed the amount of money that Bonnie has saved

Answers

It will take 9 months for Allie to have $100 more than her sister.

What is the area of the figure?



Assume that all angles are right angles.

A. 980 square inches


B. 1000 square inches


C. 1200 square inches


D. 1100 square inches

Answers

The answer would be
B, 1000 square inches

Yesterday raina had c baseball cards .today she got 24 more . Using c , write an expression for the total number of baseball cards she has now .

Answers

Hello There!

It would be c + 24.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

Under which condition does a country with a small GDP have a large per capita income?

Answers

the concept here is that if a country has a small population, then the per capita income would be large. by dividing the total income by the total population giving you the per capita income. 

-hope this helps
GDP, or gross domestic product, is  how many goods and services a country or realm produces over an interval, usually a year.

the per capita part, means, the average per person, so you grab the GDP, say 5 trillion, and divide it evenly among all inhabitants, so a per-capita figure is really just GDP/population.

now, you can have a population like Germany with 80 million with a GDP of say hmmm 8000 million for simplification, the per-capita is then 8000/80 or  $100 per person.

now, you could have another population like say Japan, and let's just say is less people... hmmm 20 million, with a GDP of say 4000 million.

then the per-capita in that example for Japan will be 4000/20, which is $200 per-capita, notice, the Japan's example has a higher per-capita, though the GDP is smaller to the example of Germany, that's because the Japanese population is also smaller.

sidenote:  per-capita figures are often very misleading, since economies do not grow that linearly.

If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 69 square meters. find the area of the original square.

Answers

Let y= original side So A = LW 60 = (y+15)(y-13) (y+15)(y-13) = 60 y^2 + 2y - 195 = 60 y^2 + 2y- 195 - 60 = 0 y = -17 or y= 15 Toss out the negative solution to get y= 15 as the only solution. So the square has a side length of 15 meters. The area of this square is 15^2 = 15*15 = 225 square meters.

If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.

Answers

false The truth table for the and function is Inputs output a b t/f f f f f t f t f f t t t which shows that the and function is only true if and only if both of its inputs are true. Since b is false, then the value of the function a and b is false.

How many ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row?

Answers

This is equal to nP8  or       10!
                                       ---------  =   1,814,400 ways
                                        (10-8)!
                                      

1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.

What is Permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangement.

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

n=Total number of objects

r=Selected number of objects

Given,

There are ten number of seats

n=10

We have to arrange 8 students so r=8.

We need to arrange eight students in ten seats in a row.

So n=10, r=8

[tex]10P_{8} =\frac{10!}{(10-8)!}[/tex]

10P₈=10!/2!

=10×9×8×7×6×5×4×3×2/2

=10×9×8×7×6×5×4×3

=1814400

Hence in 1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.

To learn more on Permutation click:

https://brainly.com/question/1216161

#SPJ5

Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?

Answers

Because the costs associated with organization-level manufacturing overhead among products are untraceable, it is not possible to specify what product was responsible for what overhead, so GAAP-based costing accounts for the untraceability.

If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?

A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12

Answers

c is your answer i believe

Evaluate the given expression if k=-84
5 |k+10| - |4k|

Answers

The answer would be 34.

Steps:
5 |-84+10| - |4(-84|
5 |-74| - |-336|
5(74) - 336
370 - 336
34

geometry proof
help please

Answers

JK = MN because of Given

∠JLK = ∠MLN because of the vertical angle theorem

JL = LN because of definition of midpoint

ΔJLK = MLN because of SAS

∠K = ∠N because corresponding angles of congruent triangles are congruent.

Hope this helps!
check the picture below.

so, therefore, the triangles KLJ and NLM have a side, then another adjacent side and an angle in common, Side Side Angle.  That means both triangles are congruent, and if they're congruent, so are all of their angles too.

3/8(z+11)=y solve for z in the literal equation

Answers

Expand the brackets and solve for z by isolating on one side. 

3/8(z+11)=y 
3/8z+88=y 
3=y(8z+88) 
3/y=8z+88 
(3/y)-88=8z 
((3/y)-88)/8=z 

Hope I helped :) 

Round 28,573 to the nearest thousand

Answers

29,000 is the answer rounded to the nearest thousand.
28,573 rounded to the nearest thousand

first, find the number in the thousands place....it is 8...now look at the number directly to the right of it....
** if that number is 5 or above, u would round that 8 up to a 9
** if that number is 4 or below, u would leave the 8 alone

so the number directly to the right of 8 is a 5...that means we have to round that 8 up to a 9

making ur answer : 29,000 <== because 28,573 is closer to 29,000 then it is to 28,000




Scientists estimate that sea level has risen about _____ over the past 100 years.

A. 10 to 25 meters
B. 0 to 1 centimeters
C. 10 to 25 centimeters
D. 100 to 250 centimeters

Answers

C,ten to twenty five centimeters

Answer:  The answer is (C) 10 to 25 centimetres.

Step-by-step explanation: We are to select the correct range by which the sea level has risen about over the last 100 years.

Scientists estimates that because of warming of the ocean and increased melting of land-based ice such as glaciers and ice sheets, the level of sea has risen from 10 to 25 centimetres over the last 100 years.

Thus, (C) is the correct option.

If 75 cans cost 56.25 dollars how much would it be for 3 cans

Answers

$24.12
divide 56.25/7 then round then * 3

56.25 / 75 = 0.75 for each can

0.75 *3 = $2.25 for 3 cans

what is 4kx+10kx=7 solve for x

Answers

[tex]4kx+10kx=7[/tex]

Final answer:

To solve the equation 4kx+10kx=7 for x, combine like terms to get 14kx = 7, then isolate x by dividing both sides by 14k, resulting in x = 1 / (2k).

Explanation:

The question asks: what is 4kx+10kx=7 solve for x. To solve this equation for x, we first need to combine like terms. We combine 4kx and 10kx to get 14kx. The equation then becomes 14kx = 7. To isolate x, we divide both sides of the equation by 14k. This gives us x = 7 / (14k). It simplifies further to x = 1 / (2k). Therefore, the solution to the equation is x = 1 / (2k).

What is a cubic polynomial function in standard form with zeroes 1, –2, and 2?

Answers

Starting off with the polynomial in standard form would be extremely difficult, but we can construct one fairly easily with the zeroes we've been given.

We know from the given zeroes that our function has the value 0 when x = 1, x = -2, and x = 2. Manipulating each equation, we can rewrite them as x - 1 = 0, x + 2 = 0, and x - 2 = 0. To construct our polynomial, we simply use all three of the expressions on the left side of the equation as factors and multiply them together, obtaining:

[tex](x-1)(x+2)(x-2)=0[/tex]

Notice that we can easily obtain each our three zeroes by dividing both sides by the two other factors. From here, we just need to expand the left-hand side of the equation. I'll show the work required here:

[tex](x-1)(x+2)(x-2)=0\\ \big[(x-1)x+(x-1)2\big](x-2)=0\\ (x^2-x+2x-2)(x-2)=0\\ (x^2+x-2)(x-2)=0\\ (x^2+x-2)x-(x^2+x-2)2=0\\ x^3+x^2-2x-(2x^2+2x-4)=0\\ x^3+x^2-2x-2x^2-2x+4=0\\ x^3+(x^2-2x^2)+(-2x-2x)+4=0\\ x^3-x^2-4x+4=0\\[/tex]

So, in standard form, our cubic polynomial would be [tex]x^3-x^2-4x+4[/tex]

How many integers less than 1000 have no factors (other than 1) in common with 1000?

Answers

168 numbers beginning with the
2, 3, 7, 11,13 and ending with the 983, 991 and 997
There are 999 integers less than 1000. Immediately, we can eliminate all of the even numbers among those, since we know they share the factor 2 with 1000. This gets rid of 499 integers, leaving us with 500 odd integers. To make our next elimination, we'll have to take a look at 1000 again.

1000's prime factorization is 2³ · 5³, which means that our final filter on the remaining integers should be to eliminate every integer divisible by 5. Any whole number ending in a 0 or a 5 is divisible by 5, but since we've eliminated all even numbers from our list, we've split the amount of those divisible numbers in half. It may be a bit hard to visualize this elimination, so let's figure out how many integers would get eliminated in a bit of a simpler setting first:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Usually we'd be eliminating 4 numbers from this sequence, but in a sequence with all the even numbers eliminated:

1 3 5 7 9 11 13 15 19

We only eliminate half that amoung, or 2.

Here, we'd usually be eliminating 100 of the numbers from our list of 500 (or 1/5 of the list, since we eliminate a number every 5 integers), but here, we're only eliminating half of that amount, or 50. This leaves us with 500 - 50 = 450 integers with no factors in common with 1000.

Note: We also sometimes refer to numbers with this kind of relationship as coprime or relatively prime.

The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides

Answers

P = a + b + c
P = 72
a = x
b = x + 2
c = x + 4

72 = x + x + 2 + x + 4
72 = 3x + 6
72 - 6 = 3x
66 = 3x
66/3 = x
22 = x

x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26

the sides of ur triangle are : 22,24,26 <==

What is the LCD of 1/3 and 3/7

Answers

The LCD would be 21.

Let me know if I was correct or horribly wrong.
21 is your answer. If not let me know

A equation whose solutions form a straight line on a coordinate plane is a what

Answers

Well , I would say M=0 Or No Slope 

A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?

Answers

n = number of nickels
d = number of dimes

n+d = 20
0.05n + 0.10d =1.40

-0.05n - 0.05d = -1
0.05n + 0.10d = 1.40

0.05d = 0.40
d = 8

n = 20-8=12

There are 12 nickels and 8 dimes

solving for a variable in terms of other variables using addition or subtraction with division calculator

Answers

Algebra is a branch of mathematics that solves for a variable in terms of other variables. It uses addition or subtraction with division calculator.

I need help big time. Will reward BRAINLIEST to BEST answer!!!
A line contains the points (34, 12) and (32, 48) .

What is the slope of the line in simplified form?


Enter your answer in the box.
________
[_______]

Answers

the find the equation of a line in any form, you will have to find out the slope first:
m=(y2-y1)/(x2-x1)=(48-12)/(32-34)=-18
the simplified form is the slope-intercept form, so next we need to find the y intercept, 
y=mx+b =>y=-18x+b
Use any of the two given points to find out b: 12=-18(34)+b =>b=624
so the equation is: y=-18x +624
Please double check the calculation by yourself
The slope of the line in simplified form is -18.

The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%

Answers

Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:

variation = r^2

 

So given an r value of 0.743, so the variation is:

variation = 0.743^2

variation = 0.552

 

Answer:

55.2%

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