The cubic curve y = x'3 + ax'2 + bx + c passes through the point (1,3) and has tangent line y = x - 2 at the point (0,-2). What are the values of a, b, and c?​

Answers

Answer 1

Answer:

answer to your question is: a = 3, b = 1, c = -2


Related Questions

f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?

Answers

Answer:    74

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

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

help me plssssssssssssss

Answers

multipley by 2, to get the answer

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780. How much commission did Mrs. Montgomery earn last month?

Answers

Answer:

3625.7

Step-by-step explanation:

hope that will help goodbye

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

1 2/5m-3/5(2/3m+1)pls help

Answers

Answer:  (10m-3)/5

Step-by-step explanation:

Convert 1 2/5 into an improper fraction

Simplify  5+25+2  to  7

Simplify 2/3m to 2m/3

Simplify 7/5m to 7m/5

Expand and remove the parenthesis

Collect the like terms

Simplify

Help help help help help math

Answers

Step-by-step explanation:

don't panic. just breathe and think logically.

why would these angles be different ? how could they be different ?

right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.

so, yes, indeed, these 2 angles are identical.

3x + 2 = 2x + 6

x = 4

that's it.

How do you turn a 5:1 ratio into a fraction

Answers

Answer:

[tex]\frac{5}{1}[/tex] is the same as 5:1

Solve for q using both equation 1 and 2 question in pic

Answers

Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

Calculate the sum of integers x satisfying 15 ⋮ x and x < 0

Answers

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.

Answers

Answer:

(1/2)x + 4 - 4 = 10 - 4

2(1/2)x = 6 * 2

x = 12

50, 60, 72, ...
Find the 8th term.

Answers

The answer to this pattern 179.159
I found because it seems to be multiplied by 1.2.

Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.

Answers

Answer:

-29x - 5

Step-by-step explanation:

-4x - 25x - 5 = -29x - 5

Answer:

- 29x - 5

Step-by-step explanation:

- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5

= - 4x - 25x - 5 ← collect like terms

= - 29x - 5

help , I have like no clue on what I'm doing​

Answers

Answer:

Step-by-step explanation:

Linear equations can have the form y = mx + b

where m is the slope of the line and equals Δy/Δx

and b is the y intercept.

Just for fun, let's choose the first and last sets of data points.

Δy = (275 - 135) = 140

Δx = (5 - 1) = 4

so slope m = 140/4 = 35    and the units on the slope would be $/month

Answer:

The slope of the line is 35

Step-by-step explanation:

We'll select [tex](1,135)[/tex] and [tex](2,170)[/tex] for this problem.

The slope is defined as the rate of change. Its formula is [tex]Slope=m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}[/tex] where our two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

Therefore, we have [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{170-135}{2-1}=\frac{35}{1}=35[/tex] as our slope.

Quantity is proportional of 40/8

Answers

The answer is 5
40/8=5

I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.

Answers

Answer:

[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]

Step-by-step explanation:

You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.

You gotta swag it aht twin

i really need help, does anyone know these

Answers

Answer: If angle A is congruent to angle E

Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

Answers

Answer:

The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one

location.

How many times do 5 go into 32

Answers

Answer:

6 times or 6.4

Answer
6 times
Explanation
32/5 = 6.4

What is the slope of the line containing (-3, 1) and (1, -2)?

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer: The answer is C, -3/4.

Explanation: First graph the points, then add the straight line through them and to find the slope you do rise/run, formula being y2-y1/x2-x1. This means putting the second y value minus the first y value and dividing that by the second x value minus the first x value. Then simplify.

4781/32 without a decimal

Answers

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction

The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?

Answers

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

Suppose you receive a shipment of 29 engines, two of which are defective. What is the probability of picking a sample of 4 engines with two bad engines in it? (Round approximations to the nearest thousandth.)

Answers

Answer:

0.4%

Step-by-step explanation:

2 are defective and 27 are good out of 29. Chance of picking 1 defective is 2/29 or .069. Chance of picking good is 27/29 or .931.

2 good and 2 bad is

.931 * .931 * .069 * .069 = .004

There is a 0.4 % chance of 2 bad.

8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?

Answers

Answer:

  none of the above

  Maximum (3π/2, 1); Minimum (π/2, -1)

Step-by-step explanation:

The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...

  y = -sin(x)

This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.

__

You might want to discuss this question with your teacher.

Answer:

The correct answer is C!

Step-by-step explanation:

The dude that said there’s no answer doesn’t know what he’s talking about.

what does the E stand for in PEMDAS?

Answers

Answer:

Exponents

Step-by-step explanation:

Parentheses

Exponents and roots

Multiplication

Division

Addition

Subtraction

Find the equation of the function of the specified type that is the best fit for the given data

Answers

Good luck:) y2x6 :)

Find the future value of 1000 at 7 % interest compounded annually for 10 years.​

Answers

Answer:

1967.15

Step-by-step explanation:

1000 x 1.07^10 = 1967.15

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:  

FV = P (1 + r)^n  

FV = Future value  P = the amount deposited R = interest rate   N = number of years  

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: https://brainly.com/question/18760477

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3

Answers

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])

[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]

[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]

A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

PLZ HELPPPPP QUICKLYYYY!!!!!!!!!!!!!

Answers

Answer:

root 490

Step-by-step explanation:

4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.

The slope is BLANK. This means the power is BLANK
by BLANK % per hour.

Please fill in blanks tysm

Answers

Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

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