All categories

2 years ago

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

Mathematics

2 answers:

DedPeter [7]2 years ago

3 0

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

Andru [333]2 years ago

3 0

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

You might be interested in

I am confused about the order to go about doing this problem because I tried multiplying first and then dividing but my answer w

guajiro [1.7K]

50÷(-25)x(4)
50/-25= -2
-2 x 4= -8
Sorry I realized I put 24 Oops...
But Ctapia037 is right.

7 0

2 years ago

Read 2 more answers

Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below

Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated $(6.34\times 10^{-7})(4.5\times 10^3)$ . His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - $(6.34\times 10^{-7})(4.5\times 10^3)$

Step 2 - $(6.34\times 4.5)(10^{-7}\times 10^3)$

Step 3 - $(28.53)(10^{-4})$

Step 4 - $28.53\times 10^{4}$

Error is the step as 4 sign is negative.

So correct step is $28.53\times 10^{-4}$

Step 5 - $28.53\times 10^{3}$

Error is the step as there is 4 in place of 3.

So correct step is $28.53\times 10^{-4}$

The step 4 and 5 describe the errors Stephen made.

7 0

3 years ago

Read 2 more answers

High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a person to reach a COHb leve

ale4655 [162]

Answer:

A) 10.38hours

B) 617.95 is the concerntration of CO

Step-by-step explanation:

A) when x=600

T= 0.0002x^2 - 0.316x + 127.9

T= 0.0002(600)^2 -0.316(600) + 127.9

T= 10.38secs

B) to find the concerntration, use Almighty formular

X=-b+-sqrt(b^2-4ac)/2a

0.0002x^2-0.316x-127.9=9

0.0002x^2 - 0.316x + 118.9=0

X= 0.316 +- sqrt(0.316^2) -4(0.0002×118.9)/(2×0.0002)

X= 0.316+(0.68817/0.0004)=962.05 or

X=-0.316 -0.68817/0.0004 =617.95

Therefore X is within the domain of 617.95 is the concerntration

5 0

3 years ago

Please help me I will really appreciate it!!!

slega [8]

Answer:

$\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}$

The last option matches the correct solution

Step-by-step explanation:

Equation Solving

We have the following equation:

$\displaystyle V=\frac{4}{3}\pi r^3$

And it's required to solve it for r.

Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.

It can be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 3:

$\displaystyle 3V=4\pi r^3$

Move $4\pi$ to the other side by dividing by $4\pi$ :

$\displaystyle \frac{3V}{4\pi}= r^3$

Swapping sides to have r at the left side:

$\displaystyle r^3=\frac{3V}{4\pi}$

Finally, take the cubic root and leave r alone:

$\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}$

The last option matches the correct solution

5 0

2 years ago

Question is on picture

Vlad1618 [11]

Answer:

The expression is half the value of (10 + 12)

Step-by-step explanation:

We see the top part is 10 + 12

The whole thing is a fraction and 2 is in the denominator

You divide your term by your denominator, and diving by 2 is the same as 1/2 if a term.

5 0

2 years ago

Read 2 more answers

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

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