Write the quadratic equation whose roots are -2 and 5, and whose leading coefficient is 1.
(Use the letter x to represent the variable.)
| [= 0

Answers

Answer 1

Answer:

[tex]x^2 - 3x -10 = 0[/tex]

Step-by-step explanation:

Given

Roots = -2 and 5

Required

Write the equation

We have that:

x = -2 and x = 5

Simplify further

x + 2 = 0 or x - 5 = 0

Multiply the results of the above

[tex](x + 2)(x - 5) = 0[/tex]

Open brackets

[tex]x^2 + 2x - 5x -10 = 0[/tex]

[tex]x^2 - 3x -10 = 0[/tex]


Related Questions

A flower bed has the shape of a rectangle 27 feet long and 9feet wide. What is its area in square yards?

Answers

Answer:

243

Step-by-step explanation:

27×9=243

243 sq yards

Answer:243 I’m not sure

Step-by-step explanation:

Melinda and her husband are purchasing a home. The cost of the home is $135,500. They will be required to pay a down payment of 25% of the purchase price and to pay closing costs of 3% of the purchase price. How much cash do they need for the down payment and closing cost?

Answers

Answer:

$37,940

Step-by-step explanation:

1. Divide $135,500 by 25%= $33,875

2. Divide $135,500 by 3%= $4065

3. Add both quotients

$33,875 + $4065

= $37940

Melinda and her husband will need $37,940 for the down payment and closing cost.

a small block of wood is thrown inside a container filled with water. if only half of the wood is submerged in water and displayes 2 litre of water in the container. what is the weight of the wood​

Answers

Answer:

the block of wood weighs 2 liters

list two factors that will change your auto insurance.

Answers

um, im not sure but probably:

-driving record

-income

Order the decimals and fractions, ​least to greatest​. Write all answers as decimals.7/100, 7.07, 0.71, 7/10 pls tell me quick

Answers

Step-by-step explanation:

0.07, 0.7, 0.71, 7.07 trying to hit 20

Kevin can travel 22 1/2miles in 1/3hour. What is his average speed in miles per hour?

Answers

Answer:

67.5 miles per hour

Explanation:

22 1/2 * 3 = 67.5

Answer:

67 1/2

Step-by-step explanation:

22 1/2 : 1/3 = 67 5/10 = 67 1/2

5x-5=3x +17
what is the answer?

Answers

Answer:

do 8x12 maybe

Step-by-step explanation:

im sorry i hope this helps

047
. Find the prime factorization of the number 3,240
O2x34 x 54
O 23 x 34 x 10
O 23 x 34 x 5
O 23x35x5
PLS ITS WORTH 10 AND

Answers

Answer:

2³ x 3⁴ x 5

Step-by-step explanation:

The problem here is to find the prime factorization of the given number. Prime factorization is the process of breaking down a number into its basic prime numbers;

           3240

         10 x 324

       2 x 5 x 324

       2 x 5 x 2 x 162

      2 x 5 x 2 x 2 x 81

      2 x 5 x 2 x 2 x 3 x 27

    2 x 5 x 2 x 2 x 3 x 3 x 9

  2 x 5 x 2 x 2 x 3 x 3 x 3 x 3

           2³ x 3⁴ x 5

Answer:

2^3 x 3^4 x 5

Step-by-step explanation:

8 x 81 x 5 = 40 x 81

Solve the exponents.

-kiniwih426

80% of the astronomy club members own a telescope. If 20 students own a telescope, how many students are in the astronomy club in all?
help me please I will give the brainliest

Answers

Answer:

25

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

we need to see the table above

Answer:

i cant see the table on top of the graph

Step-by-step explanation:

sorry but take another good picture

Prove lines are parallel

Answers

Answer:

its c

Step-by-step explanation:used brain and used again

Which one is this please answer it and get thanks from me if ur right

Answers

♡ The Question ♡

- Which of the following is equivalent to the power shown below? 8^4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ The Answer ☆

- Your answer should be C!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ Tips ☆

- No tips provided!

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe.

Answers

Answer:

3:2, 3 to 2

Step-by-step explanation:

PLEASE HELP! Determine the slope and the y-intercept of the table.

Answers

To find the slope, use two (or three) points and plug them into y2 - y1/ x2 - x1.

Once you have the slope, plug one point and the slope into . . .yup, point-slope form. y-y₁=m(x-x₁)

After doing this, you will have the slope and the y-intercept.

martha accumulated $6000 in credit debt if the interest rate is 1.45 percent per year and she does not make any payments for 4 years how much will she owe on her debt in 4 years by compounding continuously

Answers

Answer:

The answer is 6087.0435

Step-by-step explanation:

6000 + 1.45% + 1.45% + 1.45% + 1.45% = 6087.0435

Answer:

6358.29

Step-by-step explanation:

This is the answer

Samuel is in the business of manufacturing phones. He must pay a daily fixed cost to
rent the building and equipment, and also pays a cost per phone produced for
materials and labor. The equation C = 225p + 900 can be used to determine the
total cost, in dollars, of producing p phones in a given day. What is the slope of the
equation and what is its interpretation in the context of the problem?
The slope of the function is 225 which represents
the total cost to produce all of the phones
*
attempt 2 out of 2
the total cost to produce all of the phones
the number of phones produced in a day
the fixed cost for rent and equipment
the number of days to produce all of the phones
the additional cost to produce each phone
cy Policy Terms of Service
O DeltaMath.com. All Rights Reserved.

Answers

Answer:

the additional cost to produce each phone

Ben and Joel are raising money for their class trip by selling wrapping paper. Ben raised $43.50 by selling 12 rolls of solid paper and 9 rolls of printed paper. Joel raised $51.50 by selling 8 rolls of solid paper and 15 rolls of printed paper. Find the cost of each type of wrapping paper.

Answers

Answer:

Solid paper costs 1.75 each

Printed paper costs 2.50 each

Step-by-step explanation:

Given:

Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)

Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)

Let x = solid paper

Let y = printed paper

12x + 9y = 43.50

 8x + 15y = 51.50

Find x:

8x + 15y = 51.50

8x = 51.50 - 15y

x = (51.50 - 15y)/8

Substitute x:

12x + 9y = 43.50

12(51.50 - 15y)/8 + 9y = 43.50

(618 - 180y)/8 + 9y = 43.50

8 (618 - 180y)/8 + 8*9y = 43.50 * 8

618 - 180y + 72y = 348

-108y = 348 - 618

-108y = -270

-108y/-108 = -270/-108

y = 2.50

x = (51.50 - 15y)/8

x = (51.50 - 15(2.5) /8

x = (51.50 - 37.50)/8

x = 14/8

x = 1.75

To check: x = 1.75 ; y = 2.5

12x + 9y = 43.50

12(1.75) + 9(2.5) = 43.50

21 + 22.50 = 43.50

43.50 = 43.50

8x + 15y = 51.50

8(1.75) + 15(2.5) = 51.50

14 + 37.50 = 51.50

51.50 = 51.50

True or false?

The constant of proportionality is 30.

Miguel saves $15 per month.

Answers

False
The constant is 15

Represent 3.4×1.2 in an area model using base 10 blocks.​

Answers

Answer: There are 3 tens in 3.4 and 4 ones in 3.4. There is one base ten block in 1.2 and 2 ones in 1.2

Step-by-step explanation:

A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answers

Answer:

Step-by-step explanation:

We have to come up with a system of equations in order to solve this because we have 2 unknowns: hamburgers and cheeseburgers. h is hamburgers and c is cheeseburgers. We know that both of these together totaled 762, so

h + c = 762

We also know that more cheeseburgers were sold than were hamburgers. 62 more cheeseburgers, to be exact. So the second equation is

c = h + 62.

Now we will sub that second equation into the first one and solve for h:

h + c = 762 becomes

h + h + 62 = 762 and

2h + 62 = 762 and

2h = 700 so

h = 350. So 350 hamburgers were sold and 762 - 350 is the number of cheeseburgers. 412 to be exact.


Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
O 2 units left and 3 units up
O 2 units left and 3 units down
2 units right and 3 units up
O 2 units right and 3 units down

Answers

Answer: O 2 units left and 3 units down

The phrase that best describes the y = (x + 2)² and it is translated to

y = x² + 3 is 2 units left and 3 units up.

What are some rules of transformations?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A function y = (x + 2)² and it is translated to y = x² + 3.

Now, The part x² from (x + 2)² is translated 2 units to the left, and the part

+ 3 is translated up by 3 units.

learn more about transformation here :

https://brainly.com/question/15200241

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Based on the graph, what are the solutions of x3 + x2 -
9x – 9 = 0?

Answers

The solutions of given equation are -3, -1 and 3.

Add (-x + 4) + (3x + 2).

Answers

Answer:

2x+6

Step-by-step explanation:

The expression equivalent to (-x + 4) + (3x + 2) is 2(x + 3).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(-x + 4) + (3x + 2)

Combine like terms.

-x + 3x + 4 + 2

2x + 6

2(x + 3)

Thus,

The final expression is 2(x + 3).

Learn more about expressions here:

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g(n) = 2n + 5; find g(-1)

Answers

Answer:

Solving g(n)=2n+5 by putting n=-1 we get g(-1)=3

Step-by-step explanation:

We are given g(n)=2n+5

We need to find g(-1)

For finding g(-1) put n=-1 in g(n)=2n+5

[tex]g(n)=2n+5\\Put \ n=-1\\g(-1)= 2(-1)+5\\g(-1)=-2+5\\g(-1)=3[/tex]

So, Solving g(n)=2n+5 by putting n=-1 we get g(-1)=3

What is the total cost of a $150.00 necklace if the sales tax is 6%?

Answers

Answer:

Amount (excluding tax)$150.00

Tax (6.0%)$9.00

Amount (including tax)$159.00

Answer:

pretty sure it would be like 159.00 or something like that sorry if i was not much help

Step-by-step explanation:

i hope you have a great day sir/ma'am!!!

Dave doughnuts sell a dozen doughnuts for 5.64. what is the unit cost per doughnuts?

Answers

Answer:

give me some DONUTS!!!!!!!

Step-by-step explanation:

and a coffee at the if you will in fact give me a caramel Pacheco

Which of the following data sets represents a linear function?
A. (2, 4), (3, 9), (4, 16), (5, 25)
B. (-2, -1), (-3, 0), (-4, 1), (-5, 0)
C. (2, 12), (3, 6), (4, 0), (5, -6)
D. (2, 1), (3, 0), (4, 1), (5, 4)

I will give brainliest if you are correct

Answers

Answer:

C

Step-by-step explanation:

to be a linear function the change in X and the change in Y has to be the same hence slope

A. x changes by+ 1 see 2,3,4,5, and y changes by +5, +7, +9 so A is not a linear function

B. X changes by -1 in all, y changes +1 for first 3 then -1 last, so B is not a linear function

C. X changes by +1 for all and y changes by -6 for all so is it is a linear function

D x changes by +1 for all and y changes by -1, +1, +3 so no linear fn.

what is the range of f?
A) -6≤x≤7
B) The x-values -6,0,2,4 and 7
C) The x-values -5,1,3, and 4
D) -5≤x≤4​

Answers

Answer:

The range of f(x) is (−∞,∞), which is all real numbers. In fact, this range holds for any base for the log. 3. For 0">a>0 and a≠1, f(x)=ax has a range of (0,∞).

F(x)=8-3x find x when f(x)=32

Answers

Answer:

x=8

Step-by-step explanation:

F(x)=8-3x

f(x)=32

replace f(x) with 32

32=8-3x

32-8=3x

24=3x

x=24/3

x=8

is 14.5d=87 a function

Answers

yes it is a function

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