Solve the equation: 12 - x (x - 3) = (6 - x)(x + 2)

Answers

Answer 1

Answer: the answer is 0

Why 0?:

Step 1: Simplify both sides of the equation

-x * x= -x²

-x * -3= 3x all  together it is ( -x²+3x+12)

for the other side:

-x * x= -x²

6 * x= 6x and x * 2= 2x and 6 * 2= 12

then subtract 6x-4x= 2x so final would be = −x²+4x+12

Step 2: Add x² to both sides.

−x²+3x+12+x²=−x²+4x+12+x² then we are left with 3x+12=4x+12

Step 3: Subtract 4x from both sides.

3x+12−4x=4x+12−4x  --> −x+12=12

Step 4: Subtract 12 from both sides.

−x+12−12=12−12

−x=0

Step 5: Divide both sides by -1 or -x

x=0


Related Questions

Complete the function for this graph.

Answers

Answer:

y = –|x - 1| + 3

Step-by-step explanation:

The "vertex" is (1 , 3)

y = –|x - 1| + 3

Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.

Answers

Answer:

Wavelength varies inversely with frequency.

Step-by-step explanation:

Wavelength varies inversely with frequency.

[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]

Where

k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.

answer please i need to pass this class

Answers

Answer:

b

Step-by-step explanation:

Answer: B (option 3)

Step-by-step explanation:

When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.

pls help w explanation!!

A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000

Answers

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

[tex]x + y = 5000[/tex]

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

[tex]x - y \leqslant 500[/tex]

A shows this so A is the answer.

help!!!!!

Describe the graph of the function. y = VX-6 +2

I NEED HELP ASAP​

Answers

Answer:

First answer choice: [tex]y=\sqrt{x}[/tex] shifted right 6 units and down 2 units.

Step-by-step explanation:

Graph

1st choice :) I think

The radius of a circle is 6 cm. What is its diameter?

Answers

Answer:

Step-by-step explanation:

d=2r=2, 6 =12

diameter=12

a. 1.3
b. 9.6
c. 13
d. 1

Answers

Answer:      I believe the answer would be 1.3

           HOWEVER, if you do have to round to the nearest tenth then the answer would be 1

Step-by-step explanation:    

2x+7 = 12x - 6

(subtract 2x from both sides)

7 = 10x - 6

(add 6 to both sides)

13 = 10x

(divide 13/10)

1.3 = x

if the slope of one of these perpendicular lines is -4/5 the slope of the other line is ____

Answers

5/4. Perpendicular lines have the opposite value.

Key West, Florida to Seattle, Washington is 3,518 miles. If it
takes 51 hours to drive there, what is the average speed?

Answers

Answer:

69 miles/hour

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Distance travelled = 3,518 miles

Time taken = 51 hours

Average speed = Total distance travelled / Total time taken

= 3,518 miles / 51 hours

= 68.980392156862

Approximately,

Average speed = 69 miles/hour

Answer: 69 miles/hour

Step-by-step explanation:

Please help, it is a graph question

Answers

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

choose 2 points to find slope

(1,1) (-3,-1)

[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]

y-y1 = m(x-x1)

y-1 = 1/2( x-1)

y = 1/2x + 1/2

guessing

y= 1/2x + 1/2

did y2 - y1/ x2-x1

which gave

-3

-6

also it passed through the y axis at +1/2

ANSWER PLZ ILL GIVE BRAINLIEST FIRST PERSON WHO ANSWER IM BEGGING

Answers

Answer:

The slope is 9.

Step-by-step explanation:

Answer:

Slope = 9

Step-by-step explanation:

Slope intercept form is y = mx +b (where m is slope and b is y intercept).

Here, m= 9 (slope) and b=0 (y intercept)

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

modrater give answer


if 27x = 45263514282 than find the value of 200x ​

Answers

═══════ღ❦ღ══╮

[tex]\boxed{ \sf{Answer}} [/tex]

↦ First find the value of x

[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]

↦ Now, find the value of 200x

[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Given that,

→ 27x = 45263514282

Then we have,

To find the required value of 200x.

Before that,

find the required value of x.

→ 27x = 45263514282

→ x = 45263514282/27

→ [x = 1676426454.89]

Now we can,

Solve for the value of 200x.

→ 200x

→ 200 × (x)

→ 200 × (1676426454.89)

→ 335285290978

Hence, 200x is 335285290978.

What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm

Answers

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

[tex] = lbh[/tex]

[tex] = 85 \times 65 \times 30[/tex]

[tex] = 165750 {cm}^{3} [/tex]

Capacity of the tank

[tex] = 165750ml[/tex]

[tex] = 165.75l[/tex]

evaluate f(x)=1/4x for x=-5
option 1. -1/20
option 2. -1 1/4
option 3. 20
option 4. -4/5

Answers

Answer:

option 2. -1 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1/4x

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(-5) = 1/4(-5)Multiply:                                                                                                             f(-5) = -5/4Simplify:                                                                                                             f(-5) = -1 1/4

8 Find the value of x a (22²)x is exponent of (22²) = 64​

Answers

Given:

Consider the given equation is:

[tex](2\cdot 2^2)^x=64[/tex]

To find:

The value of x.

Solution:

We have,

[tex](2\cdot 2^2)^x=64[/tex]

It can be written as:

[tex](2\cdot 4)^x=8\times 8[/tex]

[tex]8^x=8^2[/tex]

On comparing the exponents of both sides, we get

[tex]x=2[/tex]

Therefore, the value of x is 2.

Find the area of the compound shape​

Answers

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

What is the length of leg s of the triangle below?
45
4-12
90°
45

Answers

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A

2+2

f re e
points or whatever

Answers

Answer:

2+2 = 4

Step-by-step explanation:

Hope this helps.

Answer:

2 + 2 is 4 my guy

Step-by-step explanation:

thx for the points

find missing side of triangle, help!

Answers

Answer:

A √202km

Step-by-step explanation:

x²=11²-9²

x²=121-81

x²=202

√x²=√202

x=√202

202 bc the answer clearly shows how

write an expression for 15 divided by a number
show your work ​

Answers

Answer:

15/X

Step-by-step explanation:

a number divided by 15

15/X

I think it’s 15/x = x<5 maybe

emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )

Answers

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

$635x52=33,020
she would earn 33,020 in a year

Drag the operator to the correct location on the image.
Which operation results in a binomial?

Answers

The correct answer is to drag The Plus sign (+)

What is an Operator?

This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.

Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.

Read more about operators here:

https://brainly.com/question/25974538

#SPJ2

Answer:.

Step-by-step explanation:

Anyone know the answer

Answers

Vertical ship up three and two to the right and the square root will flip

so options I is wrong

II is right

III is right

IV is wrong

THUS THE ANSWER IS OPTION II III

4

Help me with this problem

Answers

Answer:

The answer is 180 - 65

Step-by-step explanation:

We got 180, because that is the number of degree's in a line

so 180 - 65 is 115 degrees, that's your answer :)

Use the quadratic formula to find the solution to the quadratic equation given
below.
X^2-x+1/4=0

Answers

Answer:

[tex]\displaystyle x=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

x² + x + 1/4 = 0

↓ Compare to Standard Form

a = 1, b = 1, c = 1/4

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 1}}{2(1)}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle x=\frac{-1 \pm \sqrt{0}}{2(1)}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle x=\frac{-1 \pm 0}{2(1)}[/tex]Simplify:                                                                                                             [tex]\displaystyle x=\frac{-1}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{-1}{2}[/tex]

what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?

Answers

Answer:

Step-by-step explanation:

An angle is cut in half by the bisector.

Since the given angle is 172, its bisector creates 2 equal angles.

2x = 172                 Divide both sides by 2

x = 172/2

x = 86

The a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49

Answers

Answer:

d. p - 15 = 49

Step-by-step explanation:

p = original price

The price was reduced by 15 dollars.

The new price is p - 15.

The new price is 49.

p - 15 = 49

Answer: d. p - 15 = 49

Find the value of x that will make A||B.

Please help!

Answers

Answer:

x=30

Step-by-step explanation:

Hi there!

For A to be parallel to B, 5x would be equal to 3x+60. (If they were parallel, these two angles would be alternate exterior angles, which are equal.)

[tex]5x=3x+60[/tex]

Subtract 3x from both sides

[tex]5x-3x=3x+60-3x\\2x=60[/tex]

Divide both sides by 2

[tex]x=30[/tex]

I hope this helps!

In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle

Answers

Answer:

the side XY

Step-by-step explanation:

we know 2 angles in a triangle. but are 45 degrees.

that means the third angle Z is 180-45-45 = 90 degrees.

the side opposite of the largest angle is the longest side.

opposite of Z is the side XY.

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