Write the quadratic equation whose roots are 4 and -2 and whose leading coffecient is 2

Answers

Answer 1

Answer:

[tex]y=2x^2-4x-16[/tex]

Step-by-step explanation:

Factored form of a quadratic equation:

[tex]y=a(x-r_1)(x-r_2)[/tex]

where:

a is the leading coefficient[tex]r_1[/tex] and [tex]r_2[/tex] are the roots

Given:

[tex]a = 2[/tex][tex]r_1=4[/tex][tex]r_2=-2[/tex]

Substitute the given values into the formula and expand:

[tex]\implies y=2(x-4)(x-(-2))[/tex]

[tex]\implies y=2(x-4)(x+2)[/tex]

[tex]\implies y=2(x^2+2x-4x-8)[/tex]

[tex]\implies y=2x^2-4x-16[/tex]


Related Questions

Can someone answer this problem??

Answers

Answer:  The answer is 9

Answer:

9% of her monthly income is spent on 'Other expenses'

Step-by-step explanation:

[tex]900+120+80+100+320=1820[/tex]

but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%

In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag

Answers

The number of oranges that are in the bag is  120.

How many oranges are in the bag?

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

b - total number of bananas t = total number of fruits

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Please help don’t understand radical

Answers

Simplified

[tex]x\sqrt[3]{x}[/tex]

If segment A is perpendicular to segment B, then they intersect at a 90° angle.

Choose the equivalent statement.

A. If segment B is not perpendicular to segment A, then they
intersect at a 90° angle.

B. If segment A is perpendicular to segment B, then they do not
intersect at a 90° angle.

C. If segments A and B do not intersect at a 90° angle, then they are
not perpendicular to each other.

Answers

I think the answer is A

please give answer asap i’ll give brainlist to correct answer

Answers

Answer:

I believe the answer is; The median is 4.5 inches.

let me know if this is right for you! :)

Step-by-step explanation:

Factorize algebraic expressions by pulling out highest commom factor.
10x - 15y

Answers

Answer:

5(2x-3y)

Step-by-step explanation:

10x-15y

=(5)(2x)-(5)(3y)

=5(2x-3y)

b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)

Answers

Answer:

father sends 7 more

19-12=7

What is the length of DE?

A. 5
B. 7
C. 6
D. 8

Answers

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

Can you create a data set which contains median=6 and mode=4?​

Answers

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

Does anybody know this? I don't have much time and Also it is not the forth option. What is the approximate surface area of the cylinder shown?

Answers

Answer:

C) [tex]628\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]

Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational

Answers

Answer:

B and E are True.

Step-by-step explanation:

B 12.19 is a terminating decimal so it is rational.

E its a ratio of 2 integers so its rational.

A -  is  not repeating so this is false.

C. a perfect square is rational - 16 can be written as 16/1.

D. 6 is rational because it can be written as 6/1  not because its not a perfect square.

The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). what is the maximum value of the objective function p if p = 180x 250y? 2,940 3,020 3,080 3,250

Answers

The maximum value of the objective function p if p = 180x + 250y is 3020

How to determine the maximum value?

The coordinates of the feasible region are given as;

(14, 2), (0, 9), (6, 8), and (10, 3)

The objective function is given as:

P = 180x + 250y

Substitute the coordinates of the feasible region in the above function

P = 180 * 14 + 250 * 2 =3020

P = 180 * 0 + 250 * 9 = 2250

P = 180 * 6 + 250 * 8 = 3080

P = 180 * 10 + 250 * 3 = 2550

The maximum value in the above computation is:

P = 180 * 14 + 250 * 2 =3020

Hence, the maximum value of the objective function p if p = 180x + 250y is 3020

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Linear Programming Quiz - Edge

Question 1: D

Question 2: D

Question 3: D

Question 4: B

Question 5: C

Question 6: C

Question 7: D

Question 8: A

Question 9: C

Question 10: C

It says I can't add anymore attachments but the rest are correct trust me

HELP ASAP PLS

a survey asked two age groups about the car color that they most preferred. the results are down in the table below. which car color eat most preferred by people ages 16-24 and what is the relative frequency within this age group?
A.) Blue, 71.4%
B.)Red, 60.6%
C.)Blue, 26.8%
D.)33.9%

Answers

Blue! It is the better option trust

Answer:

blue i think good luck

At devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

in the second week, he spent $2 more in total for the 5 lunches than the first week.

what is the increase in the mean for the second week compared to the first?



round the answer to the nearest penny.

Answers

A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,

[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]

Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be

[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]

Hence, the increase in the mean for the second week compared to the first is 0.4.

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Which is equivalent to (3√125)*?

Answers

Answer:

33.5410196625 ????

Step-by-step explanation:

is 0.4285714285714 a rational number

Answers

Answer:

No it is not a rational number

Step-by-step explanation:

A rational number is a number that can be written in the form

p

q

, where

p

and

q

are integers and

q

o

.

All fractions, both positive and negative, are rational numbers. A few examples are

4

5

,

7

8

,

13

4

,

and

20

3

Find the prime factorization of 1296
METHOD WAY!

Answers

Answer:

[tex]1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} [/tex]

I really need help with this. This is for AP Calculus. I just need to find the derivative for this function.

Answers

Answer: 40x^4 + 56x^3 − 16x − 14

Step-by-step explanation:

1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.

2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.

3. Simplify

4. Multiply 4x^2 + 7x^1 times 6x^2

5. Multiply 2x^3 - 2 times 8x^1 + 7x^0

6. To multiply powers of the same base, add their exponents.

7. Simplify

8. Combine like terms

9. For any term t, t^1 = t

10. For any term t except 0, t^0 = 1

How Do You Graph This Equation

Answers

Answer:

Rearrange both inequalities to make y the subject.

Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.

Inequality 1

[tex]2y \leq x-10[/tex]

[tex]\implies y < \dfrac{1}{2}x-5[/tex]

[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]

[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]

Inequality 2

[tex]x+y\leq -3[/tex]

[tex]\implies y\leq -x-3[/tex]

[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]

[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]

When graphing inequalities

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

Therefore,

Inequality 1:  plot points (0, -5) and (4, -3) and draw a solid line through them.

Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.

Shade the area below both lines from where the lines intersect.

Answer:

See below ~

Step-by-step explanation:

Inequality 1 :

Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5

Taking 2 points :

0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)

y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)

Inequality 2 :

x + y ≤ -3y ≤ -x - 3

Taking 2 points :

0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)

y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)

Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :

A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker

Answers

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.

I need help on this please

Answers

Answer:

  9.45 ounces

Step-by-step explanation:

The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.

The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.

The population standard deviation is about 9.45 ounces.

_____

Additional comment

The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.

12250 depreciates by 6% per year how much is the tractor worth after six years

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &12250\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &6\\ \end{cases} \\\\\\ A=12250(1 - 0.06)^{6}\implies A=12250(0.94)^6\implies A\approx 8450.90[/tex]

whats the probability of Rolling an even number on a dice, then flipping a coin to get a tails

Answers

Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12

Step-by-step explanation:because among 6 results there are 3 even numbers.

Practice solving problems involving the area Assignment Which are true about the area of a circle? Check all that apply. The diameter is used in the formula. The units are always squared. The area can be found when given the diameter by first finding the radius. The area is the distance around the circle. Circumference can be used to find area. ​

Answers

1) 3) 5) are all true about finding the area of a circle

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. points and a line show an upward trend. which is most likely the correlation coefficient for the set of data shown? –0.872 –0.191 0.191 0.872

Answers

Answer:

Its 0.191

Step-by-step explanation:

Answer:

c) 0.191

Step-by-step explanation:

Need help please answer ASAP!
25&26

Answers

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

360/60=6

#25

Let the angles be 2x and 7x

2x+7x=1899x=180x=180/9x=20°

Smallest angle=2(20)=40°

Which equation gives the line shown on the graph?
y
y = 22 +4
10
9
8
y = 224
7
6
三一z-4
5
u
3
y= 22 + 4
N
1
O
0 1 2 3 4 5 6 7 8 9 10
Done >

Answers

Answer:

6

Step-by-step explanation:

line graph start at 5 equations

How many different trains can you make of length three?

Answers

Using the combination formula, and supposing that you have n parts, it is found that the number of trains you can make is of:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

The order in which the parts are taken is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 parts are taken from a set of n, hence the total number of trains is given by:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

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The relationship between the number of pounds (lb) of almonds and the price in dollars is shown in the graph. What is the unit price of almonds?​

Answers

Answer:

B

Step-by-step explanation:

Slope is change of y over change of x

Y is going up by 8 and x is going over by 1

Therefore, $8/1 lb

The average speed of a car on the highway is 65 miles per hour? How many feet per
second is this?

Answers

Answer:

95.3333 ft/s

Step-by-step explanation:

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The table below represents a breakdown of food costs for Eddie, a travelingsalesman. How much did he spend in total for food on Tuesday?Mon.Tue.Wed.Thurs.Fri.Breakfast $7.88$12.02$9.64$6.98$13.30Lunch$13.41$11.79$14.55$16.09$10.76Dinner$18.80$22.13$20.79$24.82$16.74OA. $40.09OB. $42.56OC. $41.23OD. $45.94SURMIT Countries with the best economies, and therefore best healthcare, are most likely to produce a population withlife spans.a. shorterc.happierb. longerd.none of the abovePlease select the best answer from the choices providedAB Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4? 3. Why was Jean Toomer's Cane such a revolutionary novel?O It told a story that moved backward in time.O It featured an unusual mix of poetry and prose.O It opened up American agriculture to scrutiny.0 It described life in the rural South. Select the correct answer. the balfour declaration and the british mandate both relate to which event? a. the iran-iraq war b. the creation of israel c. the camp david accords d. the iranian revolution e. the holocaust help giving brainliest and 50 points This is a substitution problem Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy,jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How manypieces of each candy are in the candy jar? Round 7.09 to the nearest tenth What is the effect of wordsworths use of the word company in this passage? the word shows that the speaker does not feel lonely when he is surrounded by daffodils. the word suggests that the flowers are united against the speaker. the word emphasizes that the speaker is willing to work hard. the word signals the speakers inability to understand the meaning of the daffodils. What conditions led to the Lebanese Civil War? Help please 5x-2y=-10 What is the nuclear composition of uranium-235?92 electrons + 143 protons92 protons + 143 electronsO 143 protons + 92 neutronsO 92 protons + 143 neutrons Graph the inequality x < - 10/3 se the following template to create a valid Denying the Consequent argument example: If_________________ then _______________ It is not the case that ______________________ Therefore, it is not the case that ________________ Which of the following steps is required to break down pharmaceuticals and pesticides in wastewater? Aeration open basins Ozonation and aeration Biological nutrient removal Grit and bar screening ayuda,past simple vs past continuous pregunta Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book? The example of the Deepwater Horizon illustrates which of the following? A. There is no regulation in the oil industry. B. Once pollution occurs, recovery is impossible. C. There is no longer a viable fishing industry in the Gulf Coast. D. Accidents can have devastating consequences for the environment. Identify 2 effects of deforestation on Africa. A prism is completely filled with 270 cubes that have edge length of 1/3in. what is the volume of the prism?