find the value a and b for h(x)=x^2+ax+b so h(1)=0 and h'(1)=4

Answers

Answer 1

Answer:

a= -14/3b= 11/3

Step-by-step explanation:

Given Function h(x) = x^2 + ax + bh(1) = 0h'(1) = 4To findValues of a and bSolution

h(1) = 0 ⇒

1^2 + 1*a + b = 0 ⇒a + b = -1      ------------------>   (1)

h'(1) = 4 ⇒ h(4) = 1 ⇒

4^2 + 4*a + b = 1 ⇒4a + b = - 15   ------------------>  (2)

Considering the equation (1) in the equation (2)

3a - 1 = -153a = -14a = - 14/3

and

b = -1 - a b = -1 + 14/3  b = 11/3


Related Questions

You go out to lunch with some friends at your favorite restaurant. The bill is $25.56 and you want to leave a 20% tip. What is the TOTAL COST of the bill with tip included?

$20.45

$30.67

$127.80

$5.11

Answers

Answer:

30.67

Step-by-step explanation:

20 percent of 25.56 is 5.1

Which equation how’s the solution n = 11

Answers

22+n=11
subreact 22 from both sides
n=11

This question has far to little detail for someone to answer correctly, the person who got 22=11+n is just spiting out random stuff.

Solve the following equation for a.

a-f=q

Answers

Answer:

a=q+f

Step-by-step explanation:

1. a-f=q

2. you need to do the opposite of -f which is +f to cancel it out

after that you need to do the +f to the q

Hope this helps

Using the literal equation a-f = q, the solution for a = p + q

What is literal equation?

A literal equation are  type of equations which have two or more unknown variables . A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers to the both sides of the equation in order to solve the expression for the required variable.

For example if an given equation is x+ y =2 and we want to solve it for y

Then we will try to keep y on one side and take remaining terms to other side.⇒ y = x-2  is solution for y.

Given equation :

a- f = q

To solve for a, add f to both sides

⇒ a- f +  f = q+ f

⇒ a = q + f

Solution for a is q +f.

Also, Learn more about the literal equation from the link below:

brainly.com/question/18262264

#SPJ2

A washing machine has a regular delicate and permanent price cycles with hot warm or cold wash describe all the washing options available

Answers

Regular hot, regular warm, regular cold, delicate hot, delicate warm, delicate cold, permanent hot, permanent warm, permanent cold

It's just mixing the options together, but you can only have one of each at a time. In total, there are 9 options

X(3, 4); scale factor = 7

Answers

Answer:

(21, 28)

Step-by-step explanation:

Multiply the coordinates by 7.

A square has an area of 200 square feet. Between what two consecutive integers would the
length of each side fall?
HELP ME PLEASE

Answers

Answer:

14 & 15

Step-by-step explanation:

The area of the square is given by the equation: [tex]A = s^2[/tex] so therefore the length of the side is: [tex]s = \sqrt{A}[/tex].

So we take [tex]s = \sqrt{200} = 14.14[/tex]

And this is between the integers 14 and 15.

Answer:

Please don't cheat Elina, it isn't worth it, what do you gain?

THIS IS BEING FORWARDED TO OUR SCHOOL ADMINISTRATION AND BEING ARCHIVED BY ARCHIVE.IS, ALL OF YOUR QUESTIONS ARE ON OUR SCHOOL TESTS.

Step by Step explanation:

Rather than eating hot cheetos and facetiming your friends such as hi*za and reb***a you should study! Studying is the key to success rather than gossip and other stuff. The answer is wisdom, nothing less and nothing more. Go on the right path to success not the wrong way. Oh and, I ain't never seen two pretty best friends, it's always one of them that gotta be ugly.

if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

Answers

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

Solve.
2(5x – 8) = 14

Answers

Answer:

x=3

Step-by-step explanation:

What is the slope of the line that passes through the points (-9, -9) and (-6, -12)

Answers

Answer:

3/3

Step-by-step explanation:

x2 minus x1 over y2 minus y1

Answer: The answer is -1!

(BRAINLIEST QUESTION) Marissa decides to use synthetic division to find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1). What value from the divisor should she write in front of the coefficients?
-3

3

-1

1

Answers

Answer:

1

Step-by-step explanation:

I’m confused need help

Answers

Answer:

i cant see it

Step-by-step explanation:

cant see it

what is slope intercept equation of the line below

Answers

Answer: D. Y=-2x-1

Explanation:

PLEASE HELP QUICK! TRIANGLE

Answers

H^2= 441+64

H^2=505

[tex] \sqrt[2]{505} [/tex]

H=22.4

What is the range of g

Answer quick please!

Answers

Domain is on the y intercept. The answer would be B

Find the equation of this line

Answers

The points are (-4,2) and (3,-4)
using y2-y1/x2-x1
-4-2/3-2
-6/1
slope (m) is -6
to find b part of equation (y=mx+b) plug in point value for x and y
2=-6(-4)+b (multiply -6 and -4)
2=24+b (subtract 24 over)
b=-22
final equation is y=-6x-22

[tex]|f-1|\leq 6[/tex]

Answers

Answer:

F could equal 7 or anything below seven.

As an estimation we are told £3 is €4.
Convert €20 to pounds.

Answers

Answer:

£15

Step-by-step explanation:

Set up a proportion, where x is €20 in pounds

[tex]\frac{3}{4}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x:

4x = 60

x = 15

So, €20 is equal to £15

ASAPPPPPPPPPPPP HELPPPPPPPP

Answers

C I believe ? I think negative exponents are fractions

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

7n2 + 5 = 453
Solve the quadratic function

Answers

7n^2 + 5 = 453

Subtract 5 from both sides:

7n^2 = 448

Divide both sides by 7:

N^2 = 64

Take the square root of both sides:

N = 8

See attachment for math work and answer.

Can someone help me with this problem

Answers

explanation:

angle A and 121.1° are supplementary angles, so they add up to 180°. therefore, we would need to subtract 121.1 from 180 to find angle A:

180 - 121.1 = 58.9°

What is the slope of the following liner Function: f(x) = -2x+5

Answers

Answer: m = -2

............................

Step-by-step explanation:

y= mx+b

-2/1

Given y=15x+4, write the equation of the line perpendicular to the given line that contains point (-2, 3). (10 points)

You must show all work neat and organized! No work! No credit! Final answer should be in slope-intercept form.

FOR 5 EXTRA CREDIT POINTS - CONVERT YOUR FINAL ANSWER INTO STANDARD FORM!
plz help

Answers

Answer:

y= -1/15x + 43/15

x + 15y = 43

Step-by-step explanation:

See attachment.

12. Factor completely: 64x^3 + 729

Answers

Answer:

(4 x + 9) (16 x^2 - 36 x + 81)

Step-by-step explanation:

Factor the following:

64 x^3 + 729

64 x^3 + 729 = (4 x)^3 + 9^3:

(4 x)^3 + 9^3

Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):

(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)

4×9 = 36:

(4 x + 9) ((4 x)^2 - 36 x + 9^2)

Multiply each exponent in 4 x by 2:

(4 x + 9) (4^2 x^2 - 36 x + 9^2)

4^2 = 16:

(4 x + 9) (16 x^2 - 36 x + 9^2)

9^2 = 81:

Answer: (4 x + 9) (16 x^2 - 36 x + 81)

Answer:

(4x+9)(16x2−36x+81)

Step-by-step explanation:

Factor 64x3+729

64x3+729

=(4x+9)(16x2−36x+81)


Terry is 4 feet tall, and his shadow is 3 feet long. How many feet is it from the top of Terry's head to the top of his shadow's head?.

Answers

The answer would be 5 if you draw it you would need to do a^2+b^2=c^2
I think the answer would be 5

1. A large pizza costs $10, plus $1.25 for
each topping. How many toppings did you
get if your total bill was $15?

Answers

4 toppings

10+1.25x=15
Subtract 10 both sides
1.25x=5
Divide both sides by 1.25
x=4

Answer:

you got 4 toppings

Step-by-step explanation:

$15-$10=$5

5÷1.25=4

If g (x)= 3/2x+4, what is the value of g(2)?

Answers

Answer:

g(2) =7

Step-by-step explanation:

g (x)= 3/2x+4

Let x = 2

g (2)= 3/2 *2+4

      = 3 +4

      = 7

Answer: 3/8

Step-by-step explanation:

Put 2 as the x into the equation.

3/2(2)+4

Multiply 2•2

3/4+4

Add 4+4

3/8

Answer cannot be further simplified.

A triangle has an area of 49.5cm2 If the base of the triangle is 9cm. What is the height of the triangle A = 1/2BH

Answers

Answer: 11

Step-by-step explanation:

49.5/9 = 5.5

5.5 x 2 =11

11x9=99

99/2=49.5

Marlene decided to buy 2 bags of apples weighing 3 1/4 pounds each, instead of 3 bags weighing 2 2/5 pounds each. Did she end up with more apples or fewer apples by buying the bigger bags?

To find the total weight of 2 bags of apples weighing 3 and 1/4 pounds, multiply.

Answer Choices: 5 1/4, 5 1/2, 6 1/4, 6 1/2.

To find the total weight of 3 bags weighing 2 and 2/5 pounds, multiply.

Answer Choices: 5 2/5, 6 2/5, 7 1/5, 7 2/5.

She ended up purchasing [fewer, more, the same amount of,] apples by buying the bigger bags.

SHORT QUESTION (answer if you are too lazy to rad all of this lol like me): Multiply 3 and 1/4 times 2, Multiply 2 and 2/5 times 3. Thanks <3

I will mark brainliest if the answer is correct :) But you have to ask for brainliest too! Thanks so much, I really need a quick answer :)

Answers

The first fill in the blank is 6 1/2

The second one is 7 1/5

So, she ended up buying fewer apples

Can I have a brainliest?

Answer:

The first fill in the blank is 6 1/2

The second one is 7 1/5

She ended up buying fewer apples

Step-by-step explanation:

Solve the system of equations using the linear combination method.
4x−2y=7
3x+2y=0

Answers

Answer:

x = 1

y = -3/2

Step-by-step explanation:

Step 1: Arrange the equations with like terms in column.

Step 2: You want 1 set of coefficients that are opposites. This problem already has opposites: -2y and +2y.

Step 3: Solve for x.

4x-2y=7

3x+2y=0

--------------

7x = 7

x = 1

Step 4: Substitute the value of x and solve for y.

4(1)-2y=7

4-2y=7

-2y=7-4

-2y=3

y=-3/2

A student did an experiment to test the hypothesis that brand name paper towels soak up water better than generic paper towels. What would be the independent variable in the student's experiment?

Answers

Answer: The independent variable is the brand and the dependant variable is the amount of water you use.

Step-by-step explanation:

The Independent variable is the condition that you change in an experiment.

The dependant variable is the condition that you measure in an experiment.

The independent variable in the student's experiment is the type of paper towel used.

In an experiment, there are three types of variables:

The independent variable : the experimenter can change or manipulate this variable in order to determine its effect on the dependent variable. The dependent variable : this is the variable whose value would be determined in the experiment.The extraneous variable : this is the variable that can affect the result of the experiment but it is not researched in the experiment.

In this question the type of towel used would determine the amount of water that can be absorbed. This makes the type of towel used the independent variable. The dependent variable is the amount of water absorbed.

To learn more about independent variables, please check: https://brainly.com/question/1479694?referrer=searchResults

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