(x-2)(x+1)=3x-4
solve

Answers

Answer 1
Answer: x^2 + x - 2x - 2 = 3x - 4 
x^2 - x - 2 = 3x - 4 
x^2 - x - 3x - 2 + 4 = 0
x^2 - 4x + 2 = 0 ;
 is the quadratic formula ;
a = 1 ; b = -4 ; c = + 2 ;
The solutions are ( - 1 + 
2 √(3)) / 2 and ( - 1 - 2 √(3)) / 2 ;


Related Questions

Can -2/5 be simplified
All angles are right angles or a triangle has 4 sides.a. Conjunction b. Disjunction c. Negation d. Conditional
Write the equation a. a vertical line that passes through the point (2,-6)b. the y axis c.  a horizontal line that passes through the point (1,4)d. the x axis
What is the final sales price of a telescope that originally cost $400 but was marked up 32?
A system of equations is given below: y = –2x + 1 6x + 2y = 22 Which of the following steps could be used to solve by substitution? 6x + 2(−2x + 1) = 22 −2x + 1 = 6x + 2y 6(−2x + 1) + 2y = 22 6(y = −2x + 1)

1.. If a golfer’s score of 4 under par is represented by –4 on a number line, then how would a golfers score of 4 over par best be represented? a +4
b 0
c –4
d +8

2. The Salton Sink in California is approximately 215 feet below sea level. Which of the following best describes the location of the Salton Sink as it relates to sea level?

a –215
b 0
c +215
d +2150

Answers

We need to find the best way to represent the numbers.

The score will be best represented by +4

The depth of the Salton Sink will be best described as -215.

4under par means that it took 4less strokes than the par of the course to complete the course.

This represented by -4

The negative sign comes first.

If the score is 4over par then it took 4more strikes than the par of the course.

This score will be best represented by +4

Let, us take the surface sea level as 0.

So, the depth below the sea level will be negative and above it will be positive.

Hence, the depth of the Salton Sink will be best described as -215.

Learn more:

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This is a bit of a guess, but I think probably a) +4 and also a) -215

Using the formula A=l•w solve the following word problem. You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, what wall length can you paper? a. Wall length of 40 feet
b. Wall length of 30 feet
c. Wall length of 3 feet
d. Wall length of 16 feet

Answers

Hi there! The answer is B.

You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, what wall length can you paper?

First write down our data:
A = 240 square feet
l = 8 feet

Now we can fill in the formula
240 = 8 × w

Switch sides.
8 × w = 240

Divide both sides by 8.
w = 240 / 8 = 30

Therefore the answer is B.
Wall length of 30 feet

Final answer:

Using the formula A=l•w to solve the wallpaper problem, where the area (A) is 240 square feet and the width (w) is the height of the walls (8 feet), we find that the wall length (length) that you can paper is 30 feet.

Explanation:

The subject of the word problem is finding the wall length you can cover with a given amount of wallpaper. In this case, the area of the wallpaper is 240 square feet, and the height of the walls is 8 feet.

The formula for the area of a rectangle is A=l•w, where A stands for area, l stands for length, and w stands for width. In this case, the 'width' is the height of the walls, which is 8 feet.

To find the length of the wall, we can rearrange the formula to l=A/w and substitute the given values. That means l=240/8, which gives us a wall length of 30 feet.

Therefore, the answer is b. Wall length of 30 feet.

Learn more about Area Calculation here:

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For each equation, choose the statement that describes its solution. if applicable, give the solution.5(y+1)-7 = 3(y-1)+2y


no solution


y = ?


all real numbers are solutions

Answers

Answer:

This equation has no solution.

Step-by-step explanation:

Perform the indicated multiplication:  5(y+1)-7 = 3(y-1)+2y

We get 5y + 5 - 7 = 3y - 3 + 2y.  Subtracting 5y from both sides yields -2 = -3, which is never true.  This equation has no solution.

3. 2x – y = -74x – y = -4
A) (-1.5, 4)
B) (1.5, 10)
C) (4, -1.5)
D) (-1.5, -2)

Answers

multiply first equaton by -1 and add to first

-2x+y=7
4x-y=-4 +
2x+0y=3

2x=3
divide 2
x=3/2

sub
2x-y=-7
2(3/2)-y=-7
3-y=-7
minus 3
-y=-10
negative 1 times both sides
y=10

(3/2,10)
(1.5,10)

B is ansre

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.

Answers

draw a diagram (shown below as attachment)

check each option

1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option


2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right

3rd: angle at F is obtuse
wrong, from 1st one,  no obtuse angles
3rd option is wrong

4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right

5th: D is obtuse
naw, fam. no obtuse angles here



the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle

Answer:

In other words, A, D.

Step-by-step explanation:

A certain shade of pink is created by adding 3 cups of white paint to 2 cups ofred paint. If 7 cups of white paint is used, how many cups of red paint is needed?

Answers

Answer:

10 1/2

Step-by-step explanation:

white : red

2 : 3

1 : 3/ 2

7 : 3/2 ×7

7 : 10.5

7 : 10 1/2

option 3 is the answer

Greetings from Brasil...

Let's apply rule of 3....

   WP              RP

    3    --------    2

    7    --------    X

3 · X = 7 · 2

3X = 14

X = 14/3

remember that

14/3 = 4 2/3

So, 7 WP = 4 2/3 RP

................................................

D  | d      

R   Q

so

D/d = Q R/d