if x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.​

Answers

Answer 1

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

-----------------------------------

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

Answer 2
Q. 1) x^2 - x - 6. And 2) x^2 + 3x - 18

Factorise the two expressions
And u get

1) (x-3) (x+2). And 2) (x+6) (x-3)

Common factor is (x-3) so a= -3

Related Questions

Solve for y in terms of r,w, and y

Answers

Answer:

Step-by-step explanations:

Use the fact that ºF = (9/5)ºC + 32 to help you answer the following questions. (c) Find the mean temperature in degrees Fahrenheit. What does this suggest about the value of the “normal” body temperature?

Answers

Answer:

it 37 degree c

Step-by-step explanation:

F=9/5*37+32

F= 98.6

15 points and a brainliest answer this!

Answers

y= -9 because -5 + (-4) = -9

Answer: the correct answer i got was y= -9. Plz mark this brainlest

Step-by-step explanation:

Find the coordinates of A (-2,3) after a rotation of 90 degrees

Answers

(-3,-2) are the new coordinates

mariana wants to put 6 3/4 feet of border across the top of a wall she has 3 6/7 feet of border. what fraction of the project can she complete

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Length of the border Mariana wants to put across the top of a wall = [tex]6\frac{3}{4}[/tex] feet

                                                                                                               = [tex]\frac{27}{4}[/tex] feet

If she has the length of the border = [tex]3\frac{6}{7}[/tex] feet

                                                         = [tex]\frac{27}{7}[/tex] feet

Therefore, fraction of the project can be completed = [tex]\frac{\frac{27}{7}}{\frac{27}{4} }[/tex]

                                                                                       = [tex]\frac{27}{7}\times \frac{4}{27}[/tex]

                                                                                       = [tex]\frac{4}{7}[/tex]

Fraction of the project can be completed = [tex]\frac{4}{7}[/tex]                                                                    

Answer:

4

7

Step-by-step explanation:

have the same question

Joanne wants to buy a skirt for $25.00. If she has a coupon for $5 off a clothing
purchase, what will be her percent of savings?

Answers

20% because 0.2 times 25 or 20% of 25 is equal to 5
She will save 20% of her clothes

the standard form of 5000​

Answers

Answer:

five thousand

Step-by-step explanation:

Find the slope of the line with the following points:
(9,3) & (-2,6)

Answers

Answer:

m=-0.2727272727

Step-by-step explanation:

Use the formula m=(y *2 - y *1) / (x *2 - x *1)

So it will be (6-3) / ((-2)-9)

Which results in 3/-11 = -0.272727272727272

what is this math symbol
(the middle one in between the 2 lines)

Answers

This math symbol reflect the sign of perpendicular.

-9 is greater than
a. -10
b. -7
c. -6
d. -9
e. 0

Answers

Answer:

-10

Step-by-step explanation:

On the number line -9 appear before -10. Thw futher the number, the smaller it gets

4. Divide £2600 in the ratio 1:4:8

Answers

Answer:

total money = 2600

Divide into 2

2600/2 = 1300

divide into 3

2600/3 = 866.6

divide into 4

2600/4 = 650

Step-by-step explanation:

PLEASE HELP ME UNDERSTAND THIS MORE!!!!!!!!!

Answers

You would first use addition and then multiplication

On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money did Ken have before he bought the game?

Answers

Answer:

He had $20 before he bought the game, you can use subtraction to find out how much Ken had

$32 - $12 = $20

Cody was 165\,\text{cm}165cm165, start text, c, m, end text tall on the first day of school this year, which was 10\%10%10, percent taller than he was on the first day of school last year.
How tall was Cody on the first day of school last year?

Answers

Answer:

150

Step-by-step explanation:

Answer:

150cm

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!URGENT

Answers

Answer: 16

Step-by-step explanation: 4x4=16

Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 17 6 33 Female 11 15 13 39 Total 21 32 19 72 If one student is chosen at random, Find the probability that the student was male AND got a "C". Submit Question Question 14

Answers

Answer:

1 / 12

Step-by-step explanation:

Given the following data:

_______A___ B ___C ___Total

Male__ 10 __ 17 ___6___ 33

Female_ 11__ 15___ 13___ 39

Total___21__ 32__ 19___ 72

Find the probability that the student was male AND got a "C"

Number of males who got C = 6

Total number of student students = 72

P(student was male and got C) = (number of males who got C / total number of students)

= 6 / 72

= 1 / 12

The function y = 3.75 +1.5(x - 1) can be used to determine the cost in dollars for a taxi ride
of x miles. What is the rate of change of the cost in dollars with respect to the number of
miles?

Answers

Answer:

$1.50 per mile

Step-by-step explanation:

y = 3.75 + 1.5(x - 1)

~Simplify left side

y = 3.75 + 1.5x - 1.5

~Combine like terms

y = 2.25 + 1.5x

As we can see, this question is written in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept.

1.5x resembles the slope (cost of how many miles you ride in the taxi)

2.25 resembles the y-intercept. We can just assume this is the "fee or tip" amount since the question doesn't state what this actually is.

Since 1.5 is the slope, this is the rate of change.

Best of Luck!

The rate of change of cost with respect to the number of miles is 1.5 dollars per mile.

Given information:

The function [tex]y = 3.75 +1.5(x - 1)[/tex] can be used to determine the cost in dollars for a taxi ride  of x miles.

It is required to calculate the rate of change of cost with respect to the distance traveled.

The rate of change of cost can be measured as,

[tex]y = 3.75 +1.5(x - 1)\\y = 3.75 +1.5x - 1.5\\\dfrac{dy}{dx}=0+1.5-0\\\dfrac{dy}{dx}=1.5[/tex]

Therefore, the rate of change of cost with respect to the number of miles is 1.5 dollars per mile.

For more details, refer to the link:

https://brainly.com/question/8223651

Write an equation of the line passing through the point (4,3) that is perpendicular to the line 4x-7x=9

Answers

Answer:

The equation 4x-7x=9 simplifies into x=-3, which is a horizontal line. A perpendicular line would be vertical, and the equation for vertical lines is y=b, b being a constant. In this case on the point (4,3), y is 3, so the equation of the line is y=3.

The sum of thee consecutive ODD integers is -21

Answers

15252 is the correct a set
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PLEASE HELP ME. I WILL GIVE BRAINLIEST TO THE FIRST PERSON WHO ANSWERS THIS QUESTION. I NEED AN ANSWER ASAP. FOLLOW ALL THE DIRECTIONS IN THE QUESTION.
Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.

x^3 + 3 = 57

Answers

Answer:

x=3*2 1/3

Step-by-step explanation:

In order to solve this non-linear equation, we need to move all the terms to the left side.

In our example,

- term 3, will be moved to the right side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

(x^3 + 3) + (-3) = 57 + (-3)

We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, there are no negative expressions.

x^3 + 3 - 3 = 57 - 3

HELP AHHH
PLEASE AND THANK YOU

Answers

Is it D? if not i’m so sorry

Answer: D

Step-by-step explanation:

Counting from 4 to -4 is 8 units.

Which of the following statements is correct? A. During times of high inflation, interest rates on new loans for cars, homes, and credit cards fall. B. The degree of inflation risk is higher for short-term lending. C. Stock market investors are positively affected when inflation rises. D. Long-term interest rates are generally higher than short-term interest rates.

Answers

Answer:

D.

Step-by-step explanation:

The longer the interest rate, the more money it will generally cost someone.

What is the equation of the line that passes through the point (-3, 6) and has a
slope of -2?

Answers

Answer:

y = -2x

Step-by-step explanation:

y = mx + c

Substitute the value,

6 = (-2)(-3) + c

c = 0

Thus, the equation is y = -2x

At the toy store, 4 toy cars cost $3.48. How much does it cost to buy 15 toy cars?
A. $11.55
B. $13.05
C. $12.30
D. $14.55​

Answers

I think u can add 3.48 15 times

Answer: b

Step hdhdjsbshdjs (3.48/4)15

He Hernández family is going to a swim meet. They bought 2 cases of water for $3.98 each, 3 bags of ice for $1.99 each, and a bag of oranges for $8.89. Before they leave, they filled up the car with 38.63 liters of gasoline at a cost of $0.655 per liter. What is the total cost for everything before tax?

Answers

Total cost of water, w =$ 3.98×2 = $7.96 .

Total cost of ice, i = $ 1.99×3 = $5.97 .

Total cost of orange, o = $8.89 .

Total cost of gasoline , g = $38.63×0.655 = $25.30 .

Now, total cost is the summation of every cost mention above :

T = $ ( 7.96 + 5.97 + 8.89 + 25.30 )

T = $48.12 .

Therefore, total cost for everything before tax is $48.12 .

Hence, this is the required solution.

Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has drawn so far: red, red, blue, yellow, blue, red, green, red, blue, green Based on this data, a. What is the probability that her next draw will be red? 40 b. What is the probability that her next draw will NOT be blue? c. If she draws 70 more times, how many times would you expect a green?

Answers

Answer:

A) 0.7

B) 0.2

C) 14 times

Step-by-step explanation:

We are told that the tiles she has drawn so far are;

red, red, blue, yellow, blue, red, green, red, blue, green.

In this, we have 10 number.

So for the first 10 number of tiles, she had:

4 red tiles

3 blue tiles

1 yellow tile

2 green tiles

A) probability that her next draw will be red = number of red tiles/total number of initial tiles drawn = 4/10 = 0.4

B) probability that her next draw will NOT be blue = number of tiles that are not blue/total number of initial tiles drawn = 7/10 = 0.7

C) Probability that the next draw will be green = number of tiles that are green/total number of initial tiles drawn = 2/10 = 0.2

Now, if she draws 70 more times, number of times she will expect a gree tile = 0.2 × 70 = 14 times

-6 < x-12/4 < -2
explain how u got the answer plz

Answers

Answer:

2<X<2/3

Step-by-step explanation:

-6<x-3<-2

-6/-3<x-3/-3<-2/-3

2<X<2/3

CAN SOMEONE PLEASE HELP ME , I’ll mark brainlist!!!!!

Answers

Answer:

i think yes

Step-by-step explanation:

youll have a 50% chance of getting it right

Hmmmm I think so yes

What are the coordinates of point p?who ever gets right gets Brainly

Answers

Answer:

(-4,3) is p i holp it help

What is the value of n?

Answers

Since the angle altogether is 180°
You just need to subtract 28 and 48 from 180
28+48=76
180-76=104

Answer: 104°

Hope this helps!! <3
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