If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b

Answers

Answer 1

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6


Related Questions

helpppp please... need to get this doneeee

Answers

Answer:

if this is iready

Step-by-step explanation:

the answer is

the third one

#3 what is 33/222 simple form

Answers

Answer: 11/74

Step-by-step explanation:

We have to think about what number can be divided from both 33 and 222. 33’s factors are 11 and 3. 222’s are 3, 6, 74, 37, and probably more. The only one the two numbered have in common is 3. So, divide north the numbers toe and denominator by 3 to get 11/74.

(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work

Answers

Answer: 0

Step-by-step explanation:

To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]

The slope is 0, meaning the line is horizontal.

How do you solve this math problem?

5 = 12 + 4

Answers

It’s called a “false equation” bc their is no way to solve it. 16 does NOT equal 5.
you add 12 to 4 to get 16 and then you discover that this is not an equation because the left and right side of the equals sign are not the same

Please Help!!! 10 Points! Brainliest Answer

Answers

The answer is b.) 120 degrees

Answer:

120 degrees

Step-by-step explanation:

It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees

Hope this helps :)

If 3x = 27, then x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

Maya has a smart phone data plan that cost $50 per month that includes 2GB of data,but will charge an extra $15 per GB over the limit?how much would kaya have to pay in a month where she used ent over by x GB

Answers

There are two conditions :

1) If data consumed is less than or equal to 2 GB.

2) if data consumed is more than 2 GB.

Change in 1st condition is constant i.e $50.

Now, charge in 2nd condition is given by :

[tex]C=15x+50[/tex]

So, money she have to pay in a month where she used ent over by x GB is :

[tex]C(x) = \$50\ , \ 0 \leq x \leq 2\\or\\C(x ) = \$\ (50+15x )\ ,\ x \geq 3[/tex]

Hence, this is the required solution.


How does the absolute value take away negative signs

Answers

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

HELP HELP Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.

Answers

Answer:

since F is midpoint

DF= FE = 2x+6

DF +FE=DE

2x+6 + 2x+6 = 2x+36

4x + 12 = 2x+36

2x = 24

x=12

DE =2x+36 =2*12 + 36 = 60

Step-by-step explanation:

Pls help stuck on it

Answers

x+16 should be equal to 2x+17+6.If you do the algebra you get x is equal to negative 7 so the answer is C

C. x = -7

2x + 23 = x + 16

x = -7

Find the distance between the points (4,10) and (0,0) the answer must be a whole number

Answers

Answer:

10.77

Step-by-step explanation:

√(4-0)²+(10-0)²

√4²+10²

√16+100

√116

10.77

Answer:

11

Step-by-step explanation:

For this problem, we simply need to apply the distance formula:

distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]

distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]

distance = sqrt[ (10)^2 + (4)^2 ]

distance = sqrt[ 100 + 16]

distance = sqrt [ 116 ]

distance ~= 10.77

The approximate distance rounded to a whole number is 11.

Cheers.

How do I solve this? Please show your work.

Answers

Answer:

24 cm²

Step-by-step explanation:

Volume of a prism is equal to the area of the base times the height of the prism.

V = Ah

The volume is 120 cm³, and the height is 5 cm.  Therefore, the area of the base is:

120 cm³ = A (5 cm)

A = 24 cm²

What is the value of -3/4 ÷ (-3 1/4)

Answers

Nothing because itz nothing

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

What is 5.6666 as a fraction

Answers

Answer : 56666/10000



Step-by-step

5.6666 = 5.6666/1 = 56.666/10 = 566.66/100 = 5666.6/1000 = 56666/10000

this is for you Keaira

Answers

Answer:

C

Step-by-step explanation:

The answer is “c” if I’m reading right

8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER​

Answers

Answer:

57.76 in²

Step-by-step explanation:

Plug in 4.6 as x in the equation and solve:

m(x) = x² + 6x + 9

m(4.6) = (4.6)² + 6(4.6) + 9

m(4.6) = 57.76

So, the area of the mat is 57.76 in²

Does anyone know what [-2/3 * (-5/7)] * (9/4) is?

Answers

Kkkkoaoaossoossospsjiioiiiiii

Question: 0.4p + 1.7 < 3.3

Answers

Answer:

p < 4

Step-by-step explanation:

We are given 0.4p + 1.7 < 3.3.

We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:

0.4p + 1.7 - 1.7 < 3.3 - 1.7

0.4p < 1.6

Divide both sides by 0.4:

p < 1.6/0.4

p < 4

Thus, our possible solutions are p < 4.

~ an aesthetics lover

How much can 2 go into 80

Answers

Answer:

40

Step-by-step explanation:

80/2= 40

Please write only vertical compression or stretch

Answers

Answer:

No te puedo ayudar vbbnn

Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that each point matches with one value on the x-axis and one value on the y-axis? Check all that apply.
histograms
scatterplots
line graphs
pie graphs
bar graphs
frequency distributions

Answers

The correct choices would be scatter plots, line graphs, bar graphs option second, third, and fifth are correct.

What is scatter plot?

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have:

The chart or graph always use axes both labeled with quantitative values and show individual points of data.

Each point matches with one value on the x-axis and one value on the y-axis.

The chart or graph would be scatter plots, line graphs, bar graphs.

Thus, the correct choices would be scatter plots, line graphs, bar graphs.

Learn more about the scatter plot here:

https://brainly.com/question/13984412

#SPJ1

Answer:I belive it is b and c

Step-by-step explanation:

EASY 13 POINTS!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9

Answers

Answer:

2x-9y=-51

2x-3y=-9

subtract question ii from i we get

-6y = -42

y =7

put value of y in 1

2x - 63 = -51

2x= 8

x=4

What is the domain of the function y=3 sqt x-1

Answers

Answer:

[1,∞) - All real numbers greater than or equal to 1

Step-by-step explanation:

The answer is [tex]x\geq 1[/tex] or 1, ∞

HELP PLEASE :) 80 POINTS
In the following equations, let x =-3 and y = 2/3. Determine whether the following equations are true or false, or neither true or false.
A. xy = -2
B. x + 3y = -1
C. x + z = 4
D. 9y = -2x
E. y/x = -2
F. -2/x / y = -1

Answers

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

Find the distance between points F(5, 3) and G(2, -7). Round to the nearest hundredth.

Answers

Answer:

10.44 units (nearest hundredth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]

Distance between F and G

[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]

Can someone help me please

Answers

Answer:

c) 4 or more times

Step-by-step explanation:

A line passes through the points (3,7) and (5,19) Part A: find the slope

Part B: what is a possible equation of a line parallel to the line through (3,7) and (5,19)

Y=mx + b

Answers

Answer:

The slope is 6. For the first line you could do y=6x+7, and the line parallel to that could be y= 6x+3

Step-by-step explanation:

For it to be parallel the slopes have to be the same and the y intercepts (b) have to be different. And I found the slope by doing y-y/x-x

plug in you numbers 19-7/5-3= 12/2 = 6

Slope between (2,5) (4,11)

Answers

Step-by-step explanation:

[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]

find the value of a2+y when x=4 and y=3

Answers

Answer:

If you mean x2+y, then the answer would be 11.

if you meant x2+y ^^

4(2) + 3

8 + 3

= 11
Other Questions
Equation: 2n +n/2=10 The economy in the New England colonies based on Who was Anne Hutchinson?A. The first woman sent to prison for speaking out against the governmentB. The first female minister and a devoted supporter of religious freedom for allC. A founding member of the Quaker community and wife of leader, WilliamD. A supporter of women's rights who helped establish a new colony in Rhode Islan. The act of canceling a law? GEOMETRY HELP!!What is the coordinate of the midpoint of segment QB? Vagrancy laws in the 1860s applied to A) the property that African Americans were allowed to rent or own. B) people who moved from place to place without regular homes or work. C) the role of the planter aristocracy in Southern state legislatures. D) voter registration rights for newly freed African Americans in the South. The two factors that determine the best method for taking notes are the How do decomposers obtain their food?A. hunting and killing prey for foodB. changing carbon dioxide and waterinto foodC. absorbing food from dead organismsD. producing food from oxygen andsunlight 5. Which date came first? 543 BC, or 325 AD?I Schools across Georgia begin deepbreathing program to reduce stress Program creator saw too much worry among students? How many minutes are there in a week, if a week has 7 days, each day has 24 hours and each hour has 60 minutes? A woman has a total of $ 12 , 000 to invest. She invests part of the money in an account that pays 7 % per year and the rest in an account that pays 9 % per year. If the interest earned in the first year is $ 920 , how much did she invest in each account? What is the sum of the following? 16x+4x+9y=? Simplify i12. 1 1 i i PLZZZZZ HELP MEEEE Emilee is the head of a large veterinary hospital. She takes care of many duties to keep the hospital up and running. That is why Emilee has put Alonzo in charge of Human Resources. What types of duties might Alonzo have in this position? Does allowing Alonzo to handle things like hiring new vet techs or filing the employee health insurance forms mean that Emilee does not care about the hospital? Explain how Alonzos position benefits Emilee in her job. A 0.5 kg yellow bouncy ball rolls to the right at a speed of 8 m/s while a 0.25 kg blue bouncy ball rollsto the left towards it with a speed of 4 m/s. After the collision, the blue bouncy ball rolls to the rightwith a speed of 12 m/s. How fast is the yellow ball rolling and in what direction? When rounding to the nearest ten, what is is the least whole number that roundd to 840 A rocket leaves the surface of Earth at time t=0 and travels straight up from the surface. The height, in feet, of the rocket above the surface of Earth is given by y(t), where t is measured in seconds for 0t600. Values of y(t) for selected values of t are given in the table above. Of the following values of t, at which value would the speed of the rocket most likely be greatest based on the data in the table?(1) t=100(2) t=200(3)t=300(4) t=400 nformational Text: BiographyRead the following passage. Then, answer the question(s).(1) Frank Lloyd Wright considered himself one of the greatest architects of all time. Not everyone agrees with this assessment. However, most people recognize his great influence on modern American architecture.(2) Born in Wisconsin in 1867, Wright grew up in a family that often had trouble making ends meet. He attended the University of Wisconsin but left early for Chicago, where the Great Fire of 1871 created many opportunities in the building trade. After working for several firms, he eventually landed a job at the company in which Louis Sullivan, a famous pioneer of modern architecture, was a partner. Wright remained there for several years, often quarreling with colleagues, before proceeding to establish his own architecture firm where he could experiment with his own ideas and style.(3) Wright's "Prairie style" is very modern, and his buildings often suggest the wide expanse of the American plains. These projects inspired other architects to think of space in a new way. They began to design rooms in a building not as separate spaces but as a flowing whole.(4) Although his "Prairie style" is considered his best, some of Wright's more famous designs show other influences. The Guggenheim Museum in New York City, for example, features a large spiral that contrasts with its urban surroundings. Another of Wright's buildings, Fallingwater in rural Pennsylvania, is built over a waterfall and blends seamlessly into its wooded, natural environment.The following question has two parts. Answer Part A first, and then Part B.Part AWhich statement best expresses the main idea of the passage? A. Frank Lloyd Wright was an innovative and influential modern American architect. B. Frank Lloyd Wright grew up in poverty but with talent and luck became rich. C. Frank Lloyd Wright thought himself a genius and had trouble getting along with others. D. Frank Lloyd Wright is best known for breaking the rules of architecture. Please help please help