The equation whose roots or solutions are 11 and -2 is:
a) x2 + 9x + 22 = 0
b) x2 + 7x + 2 = 0
c) x2 - 9x - 22 = 0
d) x2 - 7x - 2 = 0

Answers

Answer 1

9514 1404 393

Answer:

  c)  x^2 - 9x - 22 = 0

Step-by-step explanation:

Consider the generic case ...

  (x -a)(x -b) = 0 . . . . . . . has solutions x=a, x=b

Multiplying this out gives ...

  x^2 -ax -bx +ab = 0

  x^2 -(a+b)x +ab = 0

This tells you ...

the coefficient of x is the opposite of the sum of the rootsthe constant is the product of the roots

The sum of roots is 11 +(-2) = 9, and the opposite of that is -9. You are looking for an equation with the term -9x. (Choice C matches)

The product of roots is (11)(-2) = -22. You are looking for an equation with a constant of -22. (Choice C matches that, too.)

The equation is ...

  x^2 -9x -22 = 0


Related Questions

Find the median of 12,15,6,32

Answers

Answer:

13.5

Step-by-step explanation:

Put the numbers in order from smallest to largest

6,12,15,32

Find the middle

6,12   ,15,32

The middle is between 12 and 15 so average them

(12+15)/2 = 27/2 = 13.5

Answer:

13.5

Step-by-step explanation:

The "Median" is the middle number in a data set

To do this...

Step 1. Order the numbers from smallest to largest

Answer: 6, 12, 15 & 32

Step 2. Find the median (middle number)

Answer: Since the median is between 12 and 15,

we'll need to add both numbers and divided the sum

in half

12 + 15 = 27/2 = 13.5

therefore. the median of the data set is 13.5

Find the equation of the line: with an intercept of 4 and a y intercept of -1.5

Answers

Answer:

y = 4x -1.5

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b  where m is the slope and b is the y intercept

y = 4x -1.5

the length of a building is 720 in. Use dimensional analysis to convert this quantity to yards.

Answers

Answer:

20 yards

Step-by-step explanation:

First, we have to know how to get from inches to yards. 12 inches = 1 foot, and 3 feet = 1 yard.

Next, we have

[tex]\frac{720 in}{1}[/tex]

as a given. We want to multiply this by our conversions to get the end amount in yards.

We can first multiply our expression by 12 inches = 1 foot. To do this, we can set one number as the divisor and one as the dividend, e.g. 12 inches /  1 foot. However, to figure out which number should be the numerator/denominator, we first must examine our original expression. We want to multiply it by a value that cancels something out in conversion. To do this, we can have the same unit of something in the numerator in one and the denominator in the other in terms of what we're multiplying. Here, we can see that [tex]\frac{720 in}{1}[/tex] has inches on the top, so we want inches on the bottom in 12 inches = 1 foot. Therefore, we have

[tex]\frac{720 in}{1} * \frac{1 foot}{12 inches}[/tex]

= [tex]\frac{720feet}{12}[/tex]

= 60 feet

= [tex]\frac{60 feet }{1}[/tex]

We have feet as the numerator, so we want feet in the denominator in what we're multiplying this by. In 3 feet = 1 yard, we can multiply this to get

[tex]\frac{60 feet }{1} * \frac{1 yard}{3 feet} \\= \frac{60 yards}{3}[/tex]

= 20 yards

What the answer for this question

Answers

Answer:

I think the Correct answer is no A.

. Tachycardia means ...................heart rate a) fast b) slow c) irregular d) arrhythmic

Answers

Answer:

no entiendo inglés........,

Hi,

Answer:

Tachycardia is a fast heart rate

5/\sqrt{x} +1+4/\sqrt{x} -1-8\sqrt{x}/x-1

Answers

Answer:

535525-62635-$6#62626636$66$6$63663636$6$62

brainly is dustbin

The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.

Answers

Answer:

432

Step-by-step explanation:

x=1hr (6x)=6hours x= 72 hours through train so (6x)=72x6=432

The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.
Answer-432

Solve 7 ( x + 1 ) + 2 = 5x + 15

Answers

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

What is the volume of a cone with a height of 6m and a diameter of 12m? Nearest meter.

Answers

Answer:

0.0005m^3

Step-by-step explanation:

V=1/3hπr²

h=6m

d=12m

r=12÷2=6m

V=1/3×6×(3.14)×36

V=1/2034.72

V=0.0005m^3

Twice a certain number is subtracted from 9 times the number. The result is 21. Find the number.​

Answers

Answer:

3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

9x - 2x = 21

7x = 21

x = 3

So, the number is 3.

Strontium-90 has a half-life of about 28 years. Which equation will solve the problem of how many grams of a 40 g sample
will remain after 84 years?
Oy = }(40)
y = {(40)
Oy = 40(1)
y = 40()
84

Answers

Answer:a0 = 40 mg

a1 = 20 mg  after 28 years

a2 = 10 mg  after another 28 years

Step-by-step explanation:Set this up as

10 = 40 (1/2)t/28

and solve for t in years.

10/40 = (1/2)t/28

log(0.25) = (t/28) log(0.5)

t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

40 mg

Step-by-step explanation:

10 = 40 (1/2)t/28   and solve for t in years.   10/40 = (1/2)t/28   log(0.25) = (t/28) log(0.5)   t = 28 log(0.25) / log(0.5) years = 56 years

The king and queen spent $1500 on decorations for the ball +8 dollars per guest for party favors. The king and queen are charging each guest $12 to enter the dance. How many guests must come to the ball for the king and queen to break even? (you must write an equation and then solve)

Answers

Answer:

375 guests

Step-by-step explanation:

costs: 1500 + 8g

income: 12g

They must be equal

1500+8g = 12g

Subtract 8g from each side

1500 +8g-8g =12g-8g

1500= 4g

Divide by 4

1500/4 = 4g/4

375 = g

Read the image for instructions

Answers

Answer:

4 ther are 4 line symmetery

Answer:

two lines of symmetry

(a vertical and a horizontal)

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Y=6x . What is the new equation if it's shifted 5 units left

Answers

Answer:

if its 5 units to the left the answer should be 1

Step-by-step explanation:

(2)
Study the figure below and use the counting square method to determine
the perimeter and area of the diagram in the grid. The idea for using the
counting squares is to enable you to develop the formulae that can be used
to calculate the area and perimeter of a rectangle.
2
G
7
8 9
12 LIS
o 23 24 25
2427128129130
3132333435
363 ks halu
L22HLLLS 4.12712849 Sos: S-3 54 55
56 57 58 591696162163164165 66 67 68 69174
772 19L4214277879808182838485
66 87 88 89 90 91 92 93 94 95 96 97 98 99 100
5
plu2!3114
Gise 2212 213 24 2a2a134
8
Adapted from Tess-India (Elementary Mathematics)
Explain step by step, how you arrived at your answer to determine the area
and perimeter of the figure in the grid paper.​

Answers

The perimeter of a shape is the summation of the visible lengths of the figure. The area; however, is the product of the length and the width of the figure

The perimeter of the figure is 58 units and the area of the figure is 130 unit square

Your question is not properly formatted and the diagram required to solve the question is missing. I've included the appropriate diagram.

Having said that, the perimeter is:

Perimeter = sum of all sides

[tex]Perimeter = 7 + 8 + 5 + 8 + 3 + 6 + 3 + 5 + 7 + 6[/tex]

[tex]Perimeter = 58[/tex]

To calculate the area, we use a different approach.

First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.

From left to right, we have:

Rectangle 1

[tex]Length = 7\\Width = 6[/tex]

Rectangle 2

[tex]Length = 5\\Width = 6+8 = 14[/tex]

Rectangle 3

[tex]Length = 3\\Width = 6[/tex]

The area of a rectangle is:

[tex]Area = Length * Width[/tex]

So, the area of the figure is:

[tex]Area = 7 * 6 + 5 * 14 + 3 * 6[/tex]

[tex]Area = 130[/tex]

Learn more at:

https://brainly.com/question/2649416

Write the degree of the following polynomials.
a⁴+a³b²+a²b²+b⁵​

Answers

Answer:

downloadable content of the year and I have a nice day ahead of

Answer:

5

Step-by-step explanation:

The highest cumulative degree of variables is the degree of the polynomial.

a⁴+a³b²+a²b²+b⁵​4, 5, 4, 5

As we see the highest degree is 5

Plz help and explain if this is a parallelogram​

Answers

Answer:

It is a parallelogram!

Step-by-step explanation:

This is because it has four sides and all the sides have parallel lines if that makes sence.

how to do divide
[tex]3 + 255255[/tex]

Answers

Answer:

Step-by-step explanation:

Just add 3 to the last 5. The right most figure before the decimal is the units figure. So add 3 to the units digit. The answer is 244258

What is 17,210,000,000 written in scientific notation?

Answers

Answer and Step-by-step explanation:

The answer is 1722.1 x [tex]10^8[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

1.72x10^10

Step-by-step explanation:

POSITIVE EXPONENT: means a number is huge

NEGATIVE EXPONENT: indicates a number is teeny-tiny

If y = 4x -2, what are possible inputs and outputs of the function?
Complete the ordered pairs:
(0, __)
(-2, __)
(___, 14)
(___, -14)
Graph the data, what type of function is it?

Answers

Answer:

(0,-2), (-2,-10), (4,14), (-3,-14)

Step-by-step explanation:

y(0)=-2, y(-2)=-10, y(x) = 14 so x=16/4=4, y(x) = - 14, x=-12/4=-3.

Please help me I need it!

Answers

Third is right answer

If Bobby drinks 5 waters in 10 hours how many does he drink in 1 hour ?

Answers

Water drunk by Bobby in 10 hours = 5 units

So, water drink by Bobby in 1 hour

= 5/10 units

= 1/2 units

= 0.5 units

Answer:

1/2 water

Step-by-step explanation:

We can use a ratio to solve

5 waters        x waters

-----------   = ------------

10 hours             1 hours

Using cross products

5*1 = 10 *x

5 = 10x

Divide by 10

5/10 = x

1/2 waters =x

If g(x) = x^2 + 8x - 24 find the value of g(6)

Answers

Answer:

hope it helps you..........

Answer:

60

Step-by-step explanation:

g(x)= x^2 +8x - 24

Substitute x for 6 in the equation

g(6)= 6^2 + 8(6) - 24

= 36+48-24

= 60

If a= 3 and b= 5; find
(a+b)

Answers

Answer: 3/8

Step-by-step explanation:

A=3

B=5

3/3+5=3/8

Find the value of x.

Answers

x=60
the tic marks show that all sides are congruent, same with the angles. 60+60+60=180 also.

through: (3, - 3); slope = 2/3

Answers

Answer:

y=2/3x - 5

Step-by-step explanation:

Since we have the slope and a point, we can make an equation in point intercept form (y=mc+b) by using the point slope form formula (y-y1)=m(x-x1), where (x1,y1) is the point you plug in.

(y-y1)=m(x-x1)

m=2/3

y1=-3

x1=3

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

y+3=2/3(x-3)

Distribute 2/3 with (x-3) by multiplying

y+3=2/3x - 2

Subtract 3 from both sides

y=2/3x - 5

what is the aswer to 5 is 2 more than?


Answers

Answer:

Cuz 5 is greater than 2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

HELP I NEED TO FIND THE COORDINATES OF THE POINTS

Answers

Answer:

The coordinate of any given point can be written as (x, y), where x is the x coordinate, and y is the y coordinate.

For example, point A has an x coordinate (horizontal) of 5, and a y coordinate (vertical) of 6. So the ordered pair is (5, 6).

Similarly, for the rest we have:

B: (-5,5)

C: (-2,3)

D: (-2,-2)

E: (3,-4)

F: (3,-6)

11. What is 6:12 in simplest form?
A. 2:1
B. 1:2
C. 12:6
D.2

Answers

The answer is B 1:2. I hope you get it right
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