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

Am i blind or does this just not make any sense? Pls help!

Answers

Answer:

0.4

Step-by-step explanation:

2/5 converted into hundredths is 40/100.

40/100 as a decimal is 0.40, or 0.4

-hope it helps

It is C, 0.4, it is asking for the fraction to be a decimal

help me please!! <33​

Answers

Answer: Choice J

13/20 - 1/2

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

Explanation:

Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.

Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.

She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.

Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).

We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20

wren is going to add an ordered pair to the table that will cause the table to no longer be a function. Which could be the ordered pair?
X Y
-3 7
-1 5
0 3
2 6
_ _

Answers

Answer:

(0,-2)

Step-by-step explanation:


Find the 60" term of the following arithmetic sequence.
6, 13, 20, 27,
..

Answers

[tex]\text{First term, a =6}\\\\\text{Common difference, d = 13 -6 = 7}\\\\\text{Nth term} = a+(n-1)d = 6 +(n-1)7 = 6+7n-7 = 7n-1\\\\\text{60th term} = 7(60) -1 = 419[/tex]

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

a.
two more than seven times x
b. the product of ten and f,
increased by one
C. r divided by eleven

Answers

Answer:

A. two more than seven times x7 × x +27x+2B. the product of ten and f increased by one10 × f + 110f+1C. r divided by elevenr ÷ 11

After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175 (U.S. News & World Report, America’s Best Colleges, 2009 ed.). Assume the population standard deviation is $7,400. Suppose that a random sample of 60 USC students will be taken from this population.

a. Refer to Exhibit 2. What is the value of the standard deviation of the mean? (Note: keep two decimal places.)

b.What is the probability that the sample mean will be more than $27,175

c.What is the probability that the sample mean will be within $1,000 of population mean? (Note: keep two decimal places for the z value and four decimal places for the final probability value.)

d.What would be the probability in Part c if the sample size were increased to 100? (Note: keep two decimal places for the z value and four decimal places for the final probability value.)

Answers

The solutions are:

(a) Standard error is 957.04. (b) The probability is 50%. (c)The probability is 0.8491. (d) The probability is 0.8617.

To calculate the values, use the standard error formula for the sample mean:

(a)

The standard error is given by:

[tex]Standard\ error =\dfrac{ Population \ standard \ deviation}{\sqrt{sample\ size}}\\Standard\ error=\dfrac {\$ 7,400 }{ \sqrt60}\\Standard\ error =\ $957.04[/tex]

(b)

To find the probability that the sample mean will be more than $27,175, convert it into a z-score and then find the area under the normal distribution curve:

z = (sample mean - population mean) / standard error

z = ($27,175 - $27,175) / $957.04

z = 0

Since the z-score is 0, the area under the curve to the right of this point is 0.5 or 50%.

c. To find the probability that the sample mean will be within $1,000 of the population mean, we need to find the area between the range of $(27,175 - $1,000) and $(27,175 + $1,000).

Lower limit: $27,175 - $1,000 = $26,175

Upper limit: $27,175 + $1,000 = $28,175

Now, we calculate the z-scores for both limits:

lower = ($26,175 - $27,175) / $957.04 ≈ -1.045

upper = ($28,175 - $27,175) / $957.04 ≈ 1.045

Using a standard normal distribution table or calculator, the probability of a z-score being between -1.045 and 1.045 is approximately 0.8491.

(d)

If the sample size were increased to 100.

[tex]Standard error = \dfrac{ \$7,400}{ \sqrt{100}} \\Standard error = \$740[/tex]

Find the probability that the sample mean will be within $1,000 of the population mean, did in part c:

Lower limit: $27,175 - $1,000 = $26,175

Upper limit: $27,175 + $1,000 = $28,175

lower = ($26,175 - $27,175) / $740

lower ≈ -1.351

upper = ($28,175 - $27,175) / $740

upper ≈ 1.351

Using a standard normal distribution table or calculator, the probability of a z-score being between -1.351 and 1.351 is approximately 0.8617.

Hence,

Standard error is 957.04.The probability is 50%.The probability is 0.8491.The probability is 0.8617.

Learn more about Probability here:

https://brainly.com/question/32117953

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Rewrite in simplest terms: (-9x + 7y) - (-9x + 5y)

Answers

Answer:

3y

Step-by-step explanation:

(-9x+7y)-(-9x+5y)

Distribute the negative(-)

-9x+7y+9x-5y

-9 and 9 cancel each other

3y

The simplest terms of the given expression  (-9x + 7y) - (-9x + 5y) will be 2y.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

(-9x + 7y) - (-9x + 5y)

Open the bracket

-9x + 7y + 9x - 5y

Combined likely terms together

-9x + 9x + 7y - 5y

0 + 2y = 2y

Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".

To learn more about expression,

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Factor: 3x4y3 – 48y3

Answers

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)


The length of my rectangular calculator lid is 11 mm more than the width. The area is 152 square
mm. Find the dimensions of the lid.

Answers

Answer:

The dimensions of the lid are 8mm by 19mm.

w = 8

l = 19

Step-by-step explanation:

[tex]l=w+11\\l\times w=152[/tex]

where l is length and w is width. This can be solved as a system of equations.

[tex]l\times w=152\\(w+11)\times w=152\\w(w+11)=152\\w^2+11w=152\\w^2+11w-152=0[/tex]

At this point, it gets a little tough. I might be unnecessarily overcomplicating things, but this is the only way I see to solve the problem.

=================== Skip down below if you don't care about factoring

You need to factor the newly created trinomial.

[tex]ax^2+bx+c[/tex]

With a trinomial in this form, you need to find 2 numbers that add together to make b and multiply together to make ac.

Here, we need 2 numbers that add to 11 and multiply to -152. First, factor 152:

1, 152

2, 76

4, 38

8, 19

Then the reverse of all of those is true too, of course:

19, 8

38, 4

etc

In our case, we're looking for -152, so one of our factors will be negative. We're also looking for factors that add up to 11. Looking at these factors, you can see that 19 - 8 = 11, so our factors are 19 and -8.

Finally, you can use those to factor our trinomial. Split up the middle number (11w) into two:

[tex]w^2+11w-152=0\\w^2-8w+19w-152=0[/tex]

And now, you can factor by grouping:

[tex]w^2-8w+19w-152=0\\w(w-8)+19(w-8)=0\\(w+19)(w-8)=0[/tex]

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

Now that the number is factored, you can finally find w:

[tex](w+19)(w-8)=0[/tex]

Here, you can see that the equation will be true when w = -19 or w = 8. Those are our solutions, but we can't have a negative distance, so it's just

[tex]w=8[/tex]

Going all the way back to the top, now you can use the width to find the length.

[tex]l=w+11\\l=8+11\\l=19[/tex]

That one was much easier.

The dimensions of the lid are 8mm by 19mm.

Finally, check that with both of the original equations to make sure it's correct.

[tex]l=w+11\\19=8+11\\19=19\\\\l\times w=152\\19\times8=152\\152=152[/tex]

Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total

Answers

Answer:

3 2-pt shots, 4 3-pt shots

Step-by-step explanation:

2x + 3y = 18

x + y = 7, so x = 7 - y

Substitute in for x

2(7 - y) + 3y = 18

14 - 2y + 3y = 18

14 + y = 18

y = 4

Now put 4 in for y to solve for x

2x + 3(4) = 18

2x + 12 = 18

2x = 6

x = 3

USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION

Answers

Answer:

w = 5

Step-by-step explanation:

Step 1: Use the Distributive property to get 6w + 30.

Step 2: Divide 6w by 6 and cancel out both 6s.

Step 3: Divide 30 by 6 to get 5, and you have the answer.

URGENT simplify (5^3 x 5^5)^5

Answers

Answer:

5^40

Step-by-step explanation:

Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.

[tex](5^3^*^5)(5^5^*^5)[/tex] [tex](5^1^5)(5^2^5)[/tex]

Step 2: Based on the laws of exponents, add the exponents together.

[tex]5^(^1^5^+^2^5^)[/tex] [tex]5^4^0[/tex]

Therefore, the answer is 5^40.

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

Please Guyz I Want Full Solved Not Just Answer Please ​

Answers

Formula of surface area of cuboid = 2(lb+bh+lh) . Surface area of cuboid is 14800cm^2 (Given) then 14800 = 2(60*40+40*Height+Height*60) 14800= 2(2400+40*H+H*60) 14800= 4800+80*2H+2H*60 14800= 4880*4H*60 14800/4880*60= 4H
14800/292800=4H
7400/146400=4H
3700/73200=4H
1850/36600=4H
925/18300=4H
185/3660=4H
37/732=4H
37/732*4=H
37/2928=H
H= 79.1351351

Answer:

The height of cuboid is 50 cm.

Step-by-step explanation:

Given :

➺ Length of cuboid = 60cm➺ Width of cuboid = 40cm.➺ Surface area of cuboid = 14800cm²

To Find :

➺ Height of cuboid

Using Formulas :

[tex]\star\small{\underline{\boxed{\sf \pink{SA_{(Cuboid)} = 2(lb + bh + lh)}}}}[/tex]

»» SA = surface area »» l = length »» b = breadth »» h = height

Solution :

Substituting all the given values in the formula to find height of cuboid :

[tex]{\longrightarrow{\sf{SA_{(Cuboid)} = 2(lb + bh + lh)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(60 \times 40 + 40 \times h + 60 \times h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 40h + 60h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 100h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 4800 + 200h}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 14800 - 4800}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 10000}}}[/tex]

[tex]{\longrightarrow{\sf{h = \dfrac{10000}{200}}}}[/tex]

[tex]{\longrightarrow{\sf{h = \cancel{\dfrac{10000}{200}}}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{h = 50 \: cm}}}}}}[/tex]

Hence, the height of cuboid is 50 cm.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2

o
13
2
O 7

Answers

Step-by-step explanation:

→ 8 + 4 = 2(x -1)

→ 12 = 2x - 2

→ 2x - 2 = 12

→ 2x = 12 + 2 = 14

→ x = 14/2 = 7

→ x = 7

hence, option D (7) is correct.

Hope this answer helps you dear ! take care

What are the measures of the other three angles formed by the intersection

Answers

Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

help plsssssssssssssssssssssssssssss

Answers

Answer:

0

the answer is 0........

It’s 0 not sure so please don’t get mad

Please due today by 10:00

Answers

what do you need help with?
C. [tex] \frac{6}{5} = 1 \ \frac{1}{5} \: or \: 1 \ \frac{3}{3} \\ [/tex]d.[tex]1 \ \frac{1}{4} = \frac{5}{4} \\ [/tex]

In a survey of 1900 people who owned a certain type of​ car, 1140 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

60% of the people surveyed were satisfied with the car

Step-by-step explanation:

1140 satisfied people / 1900 total people = 0.60 = 60% satisfied people

There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Answers

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

V = 4/3(πr³)................. Equation 1

⇒ Where:

V = Volume of the spherer = radius of the sphereπ = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

R = 2r

⇒ Where

R = bigger radiusr = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

Learn more about volume here: https://brainly.com/question/1972490


[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]

Answers

Answer:

[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]

The answer would be C and F

Answer: 1 & -5

Step-by-step explanation

What is an equation of the line that passes through the points (-4, -5) and (-2, -6)?

Answers

Answer: [tex]y=-\frac{1}{2}x-7[/tex]

Ok done. Thank to me :>

Use the GCF and the Distributive property to find the sum of 66+78

Answers

Here is ur answer of your question

PLZZZ HELP, BEST ANSWER GETS BRANLIEST AND ITS DUE IN 5 MINUTESSS,
The figure shows two triangles on the coordinate grid:

Which of the following statements is true about the three quadrilaterals? (5 points)

A and B are similar but not congruent.

A and C are similar but not congruent.

A and B are similar and also congruent.

B and C are similar and also congruent.

Answers

Answer:

The first one

Step-by-step explanation:

A and B are similar because the proportions are the same.

A is congruent to C but none of the answers ask that.

A rectangular cube of iron is a side 8 cm. What is it volume.​

Answers

A rectangular cube of iron is a side 8 cm.Given, side (a) = 8 cm.We know, volume of a cube [tex] = {a}^{3} [/tex]Therefore, the volume

[tex] = {8}^{3} \: \: cm ^{3} \\ = 512 \: \: {cm}^{3} [/tex]

Answer:

The volume is 512 cube centimetres.

Hope you could get an idea from here.

Doubt clarification - use comment section.

A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?

Answers

Answer:

360J/s

Step-by-step explanation:

power=work done/ time

power=600×6/10

=3600/10

=360

y = 30.078(1.003)*.
Question 1
? Question
Use the exponential model to make predictions about closing prices of this stock. Remember that x
represents the number of weeks since the first data point, so the value of x today would be 260.
Type the correct answer in each box. If necessary, round the answers to the nearest cent.
One week from today, the stock is predicted to close at $
One month from today, the stock is predicted to close at $
One year from today, the stock is predicted to close at $

Answers

Using the exponential function, it is found that:

One week from today, the stock is predicted to close at $65,734.37.One month from today, the stock is predicted to close at $66,327.75.One year from today, the stock is predicted to close at $76,584.35.

The exponential function is:

[tex]y(x) = 30078(1.003)^x[/tex]

x  represents the number of weeks since the first data point, so the value of x today would be 260.

Hence, considering today as an starting point, the function is:

[tex]y(x) = 30078(1.003)^{x + 260}[/tex]

One week from now, we have y(1), hence:

[tex]y(1) = 30078(1.003)^{1 + 260} = 65734.37[/tex]

One week from today, the stock is predicted to close at $65,734.37.

One month from now, we have y(4), hence:

[tex]y(4) = 30078(1.003)^{4 + 260} = 66327.75[/tex]

One month from today, the stock is predicted to close at $66,327.75.

One year from now, we have y(52), hence:

[tex]y(52) = 30078(1.003)^{52 + 260} = 76584.35[/tex]

One year from today, the stock is predicted to close at $76,584.35.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

Answer:

One week from today, the stock is predicted to close at $65,734.37.

One month from today, the stock is predicted to close at $66,327.75.

One year from today, the stock is predicted to close at $76,584.35.

Step-by-step explanation:

12POINTS PLEASE HURRY ASAPPPPP <3

Answers

ITS SQAURE 6

6 SQAURE OFTHE 6

The camp cook needed 2172 ounces of juice each day each carton of juice contains 64 ounces the Cook estimated that he needed 30 cartons of juice each day which expression proves that his estimate is incorrect

Answers

Answer: 384

Step-by-step explanation:

A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour?

Answers

4 3/4 = 19/4

 

133/(19/4) = 133(4/19) = 1197/19 = 63 mph

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