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

Please Help!! 8 Points!! Brainliest Answer!!

Answers

Answer:

right 5 down 3, I believe

(9^3)^2 Hurrrrryyyyyyyyyyyyyy

Answers

Answer: 531441

Step-by-step explanation:

pleseeeeeeeeeeeeeee helllllllppppp fassttttty pleaseeeeeeeee​

Answers

Answer:

0.10

Step-by-step explanation:

[tex]0.15 = \frac{15}{100} \\ 0.40 = \frac{40}{100} \\ 0.35 = \frac{35}{100} \\ [/tex]

Since all of them have the denominator as 100,

the total no. of sweets must be 100. So,

No of strawberries= 100-15-40-35

= 10

p(taking a strawberry sweet)= 10/100

= 0.10

Answer:

0.10

Step-by-step explanation: did work

2(10 − 6) 2 + 3(12 − 10)

Answers

I think its 22 you have to add the parentheses first and then multiply from left to right of im correct

Answer:

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Mt. Everest is 29,029 feet above sea level. The dead sea is 1,411 feet below sea level what is the difference between the elevations?

Answers

Answer:

30,440 feet

Step-by-step explanation:

You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.

if PQ=8 and Q lies at -13 where could P be located?

Answers

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

Which two fractions are equal to 2?
A .1/2
B.2/4
C.2/1
D.2/2
E.4/4

Answers

Answer:

1/2 2/4

Step-by-step explanation:

Answer:

it is C. 2/1

Step-by-step explanation:

because 1 goes into 2 twice

3/2a-8=11 URGENT ANSWERRRRRRR

Answers

Answer:

38/3

Step-by-step explanation:

3/2a-8=11      

3/2a=19     add 8 to each side

i forget the rest of the steps smh

Answer:

38/3

Step-by-step explanation:

3/2A-8=11

3A/2=11+8

3A/2=19 CROSS MULTIPLY

3A=38

A=38/3

What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

Answers

96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3

Anna has amask collection of 60 masks. She keeps 45% of the masks on her wall. How many masks does she keep on her wall?​

Answers

60x.45=27 60-27=33 masks on the wall

Answer:27

Step-by-step explanation:

60x.45=27

Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grape.

Answers

Answer:

$1.25

Step-by-step explanation:

3.2/2.56=1.25

Answer:

1.25

Step-by-step explanation:

3.2/2.56=1.25 i know because i am the future

HELP ASAP PLEASE HELPPPPPPP PLEASE

Answers

Answer:

5 times 3

Step-by-step explanation:

you do 5 time 3. it is 15

If the area of a square room is 100 square meters, what is the length of one side of the room in meters?

Answers

Answer:

10 meters

Step-by-step explanation:

Area of a square is represented by the following formula:

A= s²

Plug in your area and solve.

√100 m² =√ s² (square both side)

10 m² = s

Thus, your one side length is 10

6x-3 = 5x-5 any got a homie

Answers

Answer:

x= -2

Step-by-step explanation:

6x-3 = 5x-5

6x-5x=-5+3

x= -2

See my other articles for quiz and assignment in my site.

Just copy and paste "learningandassignments diy4pro" to google search engine.

Hope it helps.

It is X= -2
I hope this helps! Here is the work! I did it on my computer!

find the sum of the equation. 1000x+250x=?

Answers

Hey there!

ANSWER: [tex]1250x[/tex]EXPLANATION:

To solve, you can just add 1000 + 250 and remove x.

[tex]1000+250=1250[/tex]

Now add x.

[tex]1250x[/tex]

[tex]1000x+250x=1250x(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

A taxi charges $2.00 for the first mile and $1.60 for every additional mile. Rachel is taking a trip that is 4 miles long. How much will she be charged?

Answers

She should pay $6.80
She would pay exactly $6.80

A pasta factory made 328.16 pounds of pasta in 7 minutes. How much pasta, on average, did the factory make each minute?

Answers

Answer:

46.88 lb per minute

Step-by-step explanation:

328.16/7

46.88

Why didn't the butterfly go to the dance? show your thinking!

Answers

Answer:

its math roll dont wory ill show with no math and explantion its just awnsers

Step-by-step explanation:

8 i

4 t

11 w

1 a

6 s

9 a

14 m

7 o

10 t

3 h

13 b

5 a

2 L

I couldnt get the last one but i did in the same order as it has it

To solve the question we used the criteria that the solution depends upon the sign, if negative number is greater than sign will be a minus .

if positive number is greater than sign will be a plus.

The sign while addition and subtraction depends on the larger number .

If negative number is greater than sign will be a minus .

if positive number is greater than sign will be a plus.

1.

A. -5+2=-3

B. 7+-3= 4

C. -4+-6=-10

2.

A. 1+-8=-7

B. -6+-12=-18

C. -2+9=7

3.

A. -7+6=-1

B. 5+-8=-3

C. 12+13=25

4.

A. -10+-10=-20

B. 17+-1=16

C. -11+5=-6

5.

A. 4+-9=-5

B. -7+-15=-22

C. -3+12=9

6.

A. 16+-8 = 8

B. -5+20=15

C. -6+6=0

Similarly we can do the remaining solutions.

To learn more on Number system click:

https://brainly.com/question/22046046

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Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .

Answers

Answer:

The perimeter is 16 units.

Step-by-step explanation:

Once you graph all the sides you can easily count and see the perimeter is 16. :)

Convert 6 7/20
into a decimal

Answers

Hey there!

ANSWER: [tex]0.35[/tex]EXPLANATION:

[tex]6 \frac{7}{20}[/tex] as a decimal

The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.

[tex]0.35(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

What’s the answer 40=16-8r ?

Answers

Answer:

-3

Step-by-step explanation:

40=16-8r

Subtract 16 from both sides.

24=-8r

Now divide by -8

-3=r

Answer:

-3= r

Step-by-step explanation:

40= 16- 8r

subtract 16 from both sides

40-16= 16 - 16 -8r

24= -8r

divide both sides by -8

24/-8 = -8r/-8

-3= r

Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a year​

Answers

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

-5+9(r+8)
pls show me the work

Answers

This is what I got, I haven’t done this in a while. Let me know if I’m correct and if you need any help
That is the best and correct answer to this problem the work

(14d2 - 8) + (6d2 - 2d +1)

Answers

Step-by-step explanation:

Please help, image is attached! Thanks.

Answers

When something is bisected, it is cut into two equal halves.

We know that SV cut RST into two parts.

Those two parts are RSV and VST

RSV = 64 and VST = 64

RST = RSV + VST = 64 + 64 = 128

The correct answer should be 128

Answer:

I.128

Step-by-step explanation:

Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST

64 + 64= 128

128°= RST

What is 0.941941 repeating in fraction form ( simplest form) I need help!!!!

Answers

0.941941 converted to a simplified fraction is 941941/1000000

Create a quadratic function f(x), other than f(x) = x^2, and write it below. Then below the function, state the domain, range, x-intercepts, y-intercept, and f(3).

Answers

Answer:

[tex]f(x)=2x^{2}-3[/tex]

[tex]D=(-\infty,\infty)[/tex]

[tex]R=[-3,\infty)[/tex]

x-intercepts: [tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]

y-intercept: (0,-3)

f(3)=15

Step-by-step explanation:

A quadratic function is any polynomial function whose greatest power is a 2, so [tex]f(x)=2x^{2}-3[/tex] is a nice example of it.

For the domain, as a rule, polynomial functions that have positive whole degrees will be defined for all real  numbers, so:

[tex]D=(-\infty,\infty)[/tex]

When talking about quadratic functions, its range will happen from the lowest point (in this case the vertex) to it's highest point (in this case infinity)

In order to find the vertex, we can use the following formula:

[tex]x=-\frac{b}{2a}[/tex]

which is used for quadratic equations in standard form:

[tex]y=ax^{2}+bx+c[/tex]

In this case a=2, b=0 and c=-3, so we get:

[tex]x=-\frac{0}{2(2)}=0[/tex]

Now we know that the range will happen at x=0, so we substitute:

[tex]f(0)=2(0)^{2}-3=-3[/tex]

so the range will be:

[tex]R=[-3,\infty)[/tex]

For the x-intercepts we need to set the given function equal to zero so we get:

[tex]2x^2-3=0[/tex]

and solve for x:

[tex]2x^{2}=3[/tex]

[tex]x^{2}=\frac{3}{2}[/tex]

[tex]x=\pm \sqrt{\frac{3}{2}}[/tex]

which can be rationalized to:

[tex]x=\frac{\sqrt{6}}{2}[/tex] and [tex]x=-\frac{\sqrt{6}}{2}[/tex]

so the x-intercepts are located at:

[tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]

For the y-intercept, we need to set x=0 so we get:

[tex]f(0)=2(0)^{2}-3[/tex]

[tex]f(0)=-3[/tex]

So the y-intercept is located at:

(0,-3)

and finally, in order to get f(3) we must substitute x for 3 so we get:

[tex]f(3)=2(3)^{2}-3[/tex]

f(3)=15

Use the number line to find the coordinate of the midpoint of segment DE

Answers

Answer:

x1+x2/2

7+11/2

18/2=9

Step-by-step explanation:

The midpoint of segment DE is 9 units.

It is required to find the midpoint of segment DE.

What is midpoint ?

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

By mid point formula we get,

The midpoint formula is applied when one is required to find the exact center point between two defined points.

The coordinate of point D is 7 units.

The coordinate of point E is  11 units.

According to given question we have,

The midpoint of segment DE

[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]

Therefore , the midpoint of segment DE is 9 units.

Learn more details about midpoint here:

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The side lengths of a rectangle are described as (8x+1) feet and (3x−2) feet. Which expression represents the area of the rectangle in square feet?

Answers

Answer:

24x² - 13x -2

Step-by-step explanation:

To get the area of a rectanglenyou have to multiply the length and the width:

(8x+1) (3x−2)

Using Foil Method:

24x² -16x + 3x -2

24x² -13x -2

is 6.458 a rational number

Answers

Answer:

It is a rational number

Answer:

Rational

Step-by-step explanation:

6.458 is rational because it is not repeating or infinite.

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