(x^2−x−6x^2−8x+16)/(x2−x−12)

What number cannot be the value of x in the expression above? Why?
Question 12 options:

Answers

Answer 1

-3 and 4 cannot be the values of x in the given expression

The expression is given as:

[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]

Start by equating the denominator to 0

[tex]x^2 - x - 12 = 0[/tex]

Expand the above equation

[tex]x^2 - 4x + 3x - 12 = 0[/tex]

Factorize the equation

[tex]x(x - 4) + 3(x - 4) = 0[/tex]

Factor out x - 4

[tex](x + 3) (x - 4) = 0[/tex]

Split

[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]

Remove brackets

[tex]x + 3= 0\ or\ x - 4 = 0[/tex]

Solve for x

[tex]x =- 3\ or\ x = 4[/tex]

Hence, -3 and 4 cannot be the value of x in the given expression

Read more about expressions at:

https://brainly.com/question/2972832


Related Questions

1. Find selling price in the following cases.
a) Market price = Rs 480,discount = Rs 40
b) Market price = Rs 870, discount = Rs 75.
2. Find cost price or selling price in the following cases.
a) cost price = Rs 120, profit = Rs 25
b) selling price = Rs 200, profit = Rs 20

Answers

Answer:

1) a. Rs 440.

1) b. Rs 795.

2) a.Rs 145.

2) b. Rs 180.

Step-by-step explanation:

1) a.

Given,

Marked Price = Rs 480

Discount Amount = Rs 40

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 480 - Rs 40 = Rs 440.

1) b.

Given,

Marked Price = Rs 870

Discount Amount = Rs 75

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 870 - Rs 75 = Rs 795.

2) a.

Given,

Cost Price = Rs 120

Profit = 25

Selling Price = ?

Now,

Selling Price = Cost Price + Profit

= Rs 120 + Rs 25 = Rs 145.

2) b.

Given,

Selling Price = Rs 200

Profit = Rs 20

Cost Price = ?

Now,

Cost Price = Selling price - Profit

= Rs 200 - Rs 20 = Rs 180.

A restaurant tablecloth is 98 inches across. What is the approximate circumference?

Answers

Answer:

The circumference of a circle with diameter of 98 in. is about 308 in.

Step-by-step explanation:

We know the diameter. Using the diameter, we can find the circumference.

=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.

Circumference = 2πr

=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:

Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

If line segment AB represents 25​%, what is the length of a line segment that is​ 100%?

Answers

Answer:32 Inches
I Hope This Helps

Please help?!! Hurry please!!

Answers

Answer:

C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]

Explanation:

[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)​

Answers

1. y=mx+b
y=-1/4x-1

2. y=mx+b
y=3.5/2.5x+4

2.03 of 0.045 is what number?

Answers

Answer:

2.03% of 0.045=0.0009135

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 0.045 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.045 is 100%, so we can write it down as 0.045=100%.

4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.

5. Now we have two simple equations:

1) 0.045=100%

2) x=2.03%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.045/x=100%/2.03%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.03% of 0.045

0.045/x=100/2.03

(0.045/x)*x=(100/2.03)*x       - we multiply both sides of the equation by x

0.045=49.261083743842*x       - we divide both sides of the equation by (49.261083743842) to get x

0.045/49.261083743842=x

0.0009135=x

x=0.0009135

Answer:

0.09135

Step-by-step explanation:

when it says "of" a number, you simply multiply them


Help help math I need to pass please

Answers

Answer:

63 degrees

Step-by-step explanation:

The hint tells you that you can add the other 2 angles in the triangle to get the answer.

Is this table proportional?
XY
1 3 3
4 12
5 15
7 21

Answers

Yes it is proportional for a table

PLS HELP ON GEOMETRY: select all the true statements

Answers

Answer:

E

Step-by-step explanation:

Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898​

Answers

Answer:

Step-by-step explanation:

The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.

Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.

Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths

So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.

1) 3

2) 4

3) 5

4) 6

5) 7

6) 8

7) 9

For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.

A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected? A).30 B).33 C).40 D).60

Answers

Answer:

D:60

Step-by-step explanation:

A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?

Answers

Answer:

85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stone

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

Help help help help hep

Answers

Answer:

Yes

Step-by-step explanation:

Help help help math math math math

Answers

Answer:

66 degrees.

Step-by-step explanation:

angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.

Add 56 and 58, you'd get 114.

180-114=66

angle 2=66 degrees.

Answer:

66

Step-by-step explanation:

1. The exterior angle theorem states that the measure of an exterior angle of a triangle is congruent to the sum of the two opposite interior angles.

Basically, exterior angle = opposite interior angle + opposite interior angle

2. Now, let's see what information we have so far, and what we don't have.

m∠4 is 124 degrees, is the exterior angleThe angle with 58 degrees is one of the opposite interior angles∠2 is the other opposite interior angle, but we don't know its measure

3. Now, let's set up the equation and solve it.

Step 1: Set up the equation.

[tex]124 = x + 58[/tex]

Step 2: Subtract 58 from both sides.

[tex]124-58=x+58-58[/tex] [tex]66 = x[/tex]

Step 3: Check if solution is correct.

[tex]124=66+58[/tex] [tex]124=124[/tex]

Therefore, the answer is 66.

Approximately what portion of the beaker is filled?
A. 1/2
B. 1/4 C.3/4

Answers

Answer:

B. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].

A rock is 7 feet below the surface of a river. If its position can be recorded as −7 feet, what would the position of 0 represent? (5 points)

Question 3 options:

1)

On the surface of the river


2)

At the bottom of the river


3)

7 feet above the surface of the river


4)

7 feet below the surface of the river

Answers

Answer:

A on the surface of the river

Step-by-step explanation:

100 persent correct

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

A. Solution

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Step-by-step explanation:

*Note:

A coordinate is a solution if both the left side and right side of the equation is equal.

Step 1: Define

Identify.

-6x + 6y = 9

(1/2, 2)

Step 2: Verify

Substitute in variables [Equation]:                                                                   -6(1/2) + 6(2) = 9[Order of Operations] Evaluate:                                                                      9 = 9

Since 9 does indeed equal 9, the coordinate (1/2, 2) is a solution.

Surface area of cone 5ft by 21ft

Answers

if the radius is 5 then the answer is 417.63

if the radius is 21 then the answer is 2809.61

Answer:

417.63

Step-by-step explanation:

Using the unit circle, determine the value of sin 450°

Answers

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Answer:

1

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

Plz solve this its urgent

Options are 6cm
3cm
1.5cm ​

Answers

ΔPQR has:  PM is a median

So: MR = QM = 3 cm

ANSWER:  MR = 3 cm

Ok done. Thank to me :>

I want a way to solve such a problem​

Answers

Answer: Choice A)  11.4

========================================================

Explanation:

Refer to the table below.

The first step is to find the midpoint of each interval.

To do that, we add up the endpoints and divide by 2. The midpoint of the interval from 2 to 6 is 4 because (2+6)/2 = 8/2 = 4. Repeat these steps for the other intervals to find that the remaining midpoints are: 8, 12, 16, 20.

Overall, the midpoints from top to bottom are 4, 8, 12, 16, 20

Note how the midpoints are incrementing by 4 each time, which is the same distance between each successive left endpoint (and right endpoint endpoints as well).

Let's say m represents the set of midpoints which I'll form in the third column. Multiply the frequency column f by each corresponding midpoint m. The result fm forms the fourth column.

Add up everything in that fourth column to get 1140. We then divide that by the sum of the frequencies (100) to get 1140/100 = 11.4 which is the final answer. The average weight is 11.4 pounds.

help me with this math problem please​

Answers

Answer:

BC ≅ EF

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

ABC ≅ DEF

The corresponding sides are BC and EF

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

Not a solution.

Step-by-step explanation:

[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]

The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.

50 mm = how many cm?

Answers

Answer:

5cm

Step-by-step explanation:

50mm ÷ 10 = 5cm

Divide.

5÷1/4


1/20

4/5

5/4

20

Answers

Answer:

20.

Step-by-step explanation:

That's the correct answer

Answer:

20

Step-by-step explanation:

To divide by a fraction, such as 1/4, we invert the fraction and then multiply instead of dividing.  Thus:

5÷1/4 = 5*(4/1) =20

Here’s the question:

Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y =

I’m stumped. Can you help me find the answer along with an explanation? Thanks.

Answers

Answer:

An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:

$7.75x = y

Step-by-step explanation:

Answer: y = 7.75x

Step-by-step explanation:

Find the difference of charges between 6 hours and 8 hours

62-46.5 = 15.5 for 2 hours

15.5/2 = 7.75/hr

62 = 7.75 x 8

Therefore there is no initial charge, and that the relationship is linear

so y = 7.75x

Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?

Answers

Answer:

15+20=35+15 And then add an additional plus 15 for each hour

Step-by-step explanation:

Answer asap! Need help before I go to sleep.

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes

4x - 7y = 9

7y = 4x - 9

y = (4/7)x - 9/7

so the parallel line has form

y = (4/7)x + b

plug in the point on the line

3 = (4/7)7 + b

b = -1

y = (4/7)x - 1

As you did not tell us where you live and what time you intend to go to bed, we have NO way of knowing your actual deadline

Help help math math

Answers

Answer:

5/1

Step-by-step explanation:

the y is 5units and the x is 1unit

Answer:

7/4

Step-by-step explanation:

Use rise over run to solve

4-(-3)         7

-------- =      -

6-2            4


5cm
10cm
Q
Q2
Q3
Referring to the diagram above.
if Q1 = 9.0 uC, Q2 = -5.0 uC and Q3 = 32.0 uc,
what is the magnitude of the electric field at Q2, due to Q1 and Q3?

Answers

Answer:
I’m pretty sure it 15cm
Step by step
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