Given the roots of 4 and -2 find the equations of the quadratic.
4 points

Answers

Answer 1

Answer:

p(x) = x² - 2x -8

Step-by-step explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = - 2x - 8


Related Questions

6TH GRADE MATH HELP ME PLSS IM SUPER LOSTTT!!! 26 people bought fishes in all and 22 people bought up to 4 fishes and 4 people bought more than 4 fishes.

What fraction of the customers purchased fewer than 4 fish? Write your answer in simplest form.

Answers

Answer:

I think you're just supposed to multiply so i think the answer is 15

Step-by-step explanation:

Help! The screenshot is down below!!

Answers

Answer:

Step-by-step explanation:

A) Find the total minutes that Anna walked.To find the average number of minutes, divide the total minutes by total number of days

B) Average number of minutes =

[tex]\frac{15*9 + 30*5 + 40*7 + 45*3 + 50*6}{30}\\\\= \frac{135 + 150 + 280 + 135 + 300}{30}\\\\=\frac{1000}{30}\\\\= 33. 33[/tex]

The distance on a map is 3 centimeters. Find the actual distance if the scale on the map is 1 cm = 30
miles.

Answers

Answer:

90 miles  

Step-by-step explanation:

Answer:

90 Miles

3 × 30 = 90

By multiplying the 3 centimeters by 30, you get 90 miles

m bought a watch at Rs.10000 and sold it f
-12000. Find his profit percent.
[Ans: 209
• चामल र 2 kg दालको मूल्य रु. 490 पर्छ । यदि
लको मूल्य रु. 70 भए, lkg दालको मूल्य निकाल्नुहो
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price of lkg of rice is Rs.70, find the price of
ulse.
[Ans: Rs
रुपैयाँको 4 वर्षमा 15% प्रतिवर्षको व्याजदरले मि​

Answers

Answer:

2% sjjdjdjjdjjdjdjdjjrjir

what is the volume of this rectangle prism

Answers

262 1/2ft^3
multiply all the numbers and that's what you'll get

please help with this question​

Answers

The answer would be x=3

El costo de un teléfono celular con un descuento del 30% sobre el precio de lista, está dado por p(x)= x-0.30x. El impuesto a pagar por un artículo que cuesta x pesos está dado por i(x)= 0.15x.
a) Hallar e interpretar i(p(x))
b) ¿cuánto pagarás por un teléfono cuyo precio de lista es de $1,200?

Answers

B is the answer to your question

Vivian is ordering carpet for 16 square rooms in a hotel each room we need 100 square feet of carpet what is the length of one room

Answers

Answer:

Step-by-step explanation:

Length of one room, 30cm

The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about jane's method is true?

Answers

Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

Question 1
1.1
The difference between two numbers is 308328.If the smaller number is
6524, what is the larger number?
-(2) maths

Answers

Answer:

Let get small number is x and large number is y.

The difference between two numbers is 308328.

ie. y- x = 308328.

If the smaller number is

6524.

So, x= 6524.

Hence,

y - x = 308328

y- 6524 = 308328

y = 308328 + 6524

y = 314852

Step-by-step explanation:

Someone please help me in this I don’t know it I don’t wanna fail please...I’m so bad at math

Answers

Answer: C

Step-by-step explanation:

In 2 games the team had zero runs

In 1 game the team had one run

In 1 game the team had two runs

In 3 games the team had three runs

In 2 games the team had four runs

In 1 game the team had five runs

Jason a 4 lengths of rope. The lengths are 3 inches, 15 centimeters, 0.3 meters, and 0.5 feet. About how much rope does Jason have [1 inch = 2.5 cm]

Answers

Answer: 67.5 cm

Step-by-step explanation:

Jason has 4 lengths of ropes

first is [tex]3\ in.\approx 7.5\ cm[/tex]

second is [tex]15\ cm[/tex]

Third is [tex]0.3\ m\approx 30\ cm\quad [\text{1 m = 100 cm}][/tex]

fourth is [tex]0.5\ ft\approx 6\ in.\approx 15\ cm\quad [\text{1 ft=12 in.}][/tex]

the total length of rope is the sum of four lengths

[tex]\Rightarrow 7.5+15+30+15=67.5\ cm[/tex]

5/6(-8/15)
A. 48/15
B.45/90
C.8/18

D.-25/16

Answers

Answer:

-4/9

Step-by-step explanation:

5*8 = 40

6*15 = 90

You keep the negative and add it to the final product which is -40/90.

Decimal is: -0.444444444444444444444444444444444444444444444444444444444444444

Here is a good website if you want math help calculated: https://www.wolframalpha.com/

can sum1 please help wit dis look at pic​

Answers

Bd is 12 bc of Pythagorean theorem

In Chicago, Illinois, the temperature was -14°F in the morning. If the
temperature dropped 6°F, what would the temperature be?

Answers

Answer: -20 degrees Fahrenheit. plz mark me brainliest

Step-by-step explanation: -14-6=20 so -20 degrees Fahrenheit. plz mark me brainliest.

How to mark brainliest:

Click/Tap the crown on the bottom right of an answer, if there is no crown reload the page. There has to be 2 answers to mark brainliest. plz mark me brainliest.

I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy!!

Answers

Explanation is in the file

tinyurl.com/wpazsebu

I’m pretty sure the answer is c I’m so sorry if I’m wrong

Which of these cannot represent the lengths of the sides of a right triangle?
03 ft, 4 ft, 5 ft
O 6 in., 8 in., 10 in.
O 16 cm, 63 cm, 65 cm
O8 m. 9 m, 10 m

Answers

Answer:

16 cm, 63 cm, 65 cm

Step-by-step explanation:

Because those side lengths are to big to make a right triangle

15)
107
6
2
X
-10
-8
46
0
2
4
6
8
10
2
-6
-
What is the equation of the line in slope-intercept form?

Answers

Answer:

No Idea what the answer is...

how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....

Answers

I can’t tell if this is a joke or not

help me pleaseee, right answers xxo

Answers

Answer:

1. C - Directly Proportional Graph

2. D - Square Root Graph (I don't know, I just eliminated it from all the other options xD)

3. A - Exponential Graph

4. B - Reciprocal Graph

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
ice cream.
(a) What is the ratio of the number of people
who ordered chocolate to the number of
people who ordered vanilla in simplest
terms?
(b) At a different event, 42 people bought
chocolate and 30 bought vanilla. Does
this event have the same
chocolate to vanilla purchases as the ice
cream social from (a)? Justify.
ratio of

Answers

a) 56:32
= 7:4 (simplified)

simplify polynomials 11x⁴+3x²-10+2x³-3x⁴+9​

Answers

8x4 + 3x2 -1 + 2x3
Answer = 8x4 + 2x3 + 3x2 -1

Hey, can someone help me on this problem?

Answers

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

The track and field coach records Ian's 400-meter race times during three practices. How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

Answers

Answer:

d.  1.5%

Step-by-step explanation:

Given - The track and field coach records Ian's 400-meter race times during three practices.

Practice        1          2           3

Time (s)         63       60        58

To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

a. 7.9%

b.  4.8%

c.  3.3%

d.  1.5%

Proof -

% change from Practice 1 to Practice 2 change = [tex]\frac{60 - 63}{63}. 100[/tex]%

                                                                           = [tex]-\frac{3}{63}.100[/tex]% = - 4.761904762 %

⇒% change from Practice 1 to Practice 2 change = - 4.762 %

Now,

% change from Practice 2 to Practice 3 change = [tex]\frac{58 - 60}{60}. 100[/tex]%

                                                                           = [tex]-\frac{2}{60}.100[/tex]% = - 3.334 %

⇒% change from Practice 2 to Practice 3 change = - 3.3334 %

So,

- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%

∴ we get

Value = 1.5%

The correct option is - d.  1.5%

Heeeelp me Asp need this

Answers

Answer:

False; True; True

Step-by-step explanation:

If the radius is 4, the area of the circle is

pi*r*r = pi * 4 * 4 = 16pi; The second statement is true.

The entire circle's "angle" is 2pi, so the sector takes (2pi/3) / 2pi of it all, equal to 1/3 of the entire circle - hence the area of the sector is

16pi * 1/3 = 16pi/3; the first statement is false

The length of the entire circle is 2 * pi * r = 2 * pi * 4 = 8pi

The sector is 1/3 of that, so 8pi/3; the third statement is true.

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

Answers

Answer:

11699 square centimeters

Step-by-step explanation:

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

When given two sides of a triangle and an angle, the area of the triangle is calculated as:

1/2jksintheta

theta = 173°

Hence:

Area of triangle =

1/2 × 800 × 240 × sin 173

= 11699.456967 square centimeters

Approximately = 11699 square centimeters

can u help me with this and show work i only have 20 min and theres more

Answers

180 - 145 = 35

180 - 80 - 35 = 65

x = 65

Kevin started the number pattern shown below using the rule "start with 1, multiply the previous number by 3 then add 2 to the result to get the next number." 1, 5, 17, …… What is the fifth number in her pattern?

Answers

Answer: 161

Step-by-step explanation:

From the question, the rule is that we start with 1, multiply the previous number by 3 then add 2 to the result to get the next number.

Based on the numbers already given such as 1, 5, 17, the 4th number will be:

= (17 × 3) + 2

= 51 + 2

= 53

The 5th number will be:

= (53 × 3) + 2

= 159 + 2

= 161

15 POINTS PLEASE HELP!!

Quadrilateral ABCD with vertices A(-1, 0), B(3, 3), C(6, -1) and D(x, -y). If vertices ABCD forms a square, find the length of diagonal BD. Round your answer to the nearest hundredth.

Answers

Answer:

7.07

Step-by-step explanation:

Find vertices D with desmos (it's 2,-4).

Use the distance formula or diagonal=a√2 (d=5√2)

Multiply them and get 7.07.

Since the vertices forms a square, all sides are the same length which is 5.

Also you bca kid rt?

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