how to solve 2x^2-11x+12=0

Answers

Answer 1

Answer:

x= 3/2   and  4

Step-by-step explanation:

Use this method to solve;

First get the multiples of   12:    -1, -12   -2, -6    -3, -4 (we use negatives, because we need a positive 12, and a negative 11).

Next, set it up like this:  (2x - )   (x-  ).

Then plug in (2x-3)  and (x -4), and use rainbow to double check.

Then take 2x-3=0    and   x -4 =0 to get x.

2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.

Then do the same with x-4=0, add 4 to both sides leaving x= 4.

Answers are x= 3/2   and 4.


Related Questions

how do you solve for x when you have this problem below please explain !!​

Answers

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]

Hence,

The value of x is 16

what is the answer to 4(x + 1) = 4x + 10

Answers

Answer:

No solution

Step-by-step explanation:

First we would have to see if anything has to be distributed and yes the 4 in the expression 4(x + 1) has to be distributed to the x and 1. So we would multiply the 4 by x and 1. Now we have 4x + 4 = 4x + 10. We have to get the x's on 1 side of the equation so we would do the inverse of one of the x's and we can only subtract. So we can subtract 4x on both sides. So now we have

4 = 10. That isn't a correct statement so there is no solution.

4 does not equal 10.

Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair

Prove: m∠PRS = 52

-make sure to include statements and reasonings like it shows in the screenshot

Answers

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]

2) Definition of Linear Pair:

[tex]m\angle PRS+m\angle SRT=180[/tex]

3) Given:

[tex]m\angle PRS=2x+12[/tex]

4) Given:

[tex]\displaystyle m\angle SRT=6x+8[/tex]

5) Substitution Property:

[tex](2x+12)+(6x+8)=180[/tex]

6) Combine Like Terms:

[tex]8x+20=180[/tex]

7) Subtraction Property of Equality (subtract 20 from both sides):

[tex]8x=160[/tex]

8) Division Properety of Equality (divide both sides by 8):

[tex]x=20[/tex]

9) Given (this step is optional. You don’t have to include this):

[tex]m\angle PRS=2x+12[/tex]

10) Substitution:

[tex]\displaystyle m\angle PRS=2(20)+12[/tex]

11) Multiplication:

[tex]m\angle PRS=40+12[/tex]

12) Addition:

[tex]m\angle PRS=52[/tex]

Answer:

sorry i dont realy understand that

Step-by-step explanation:

At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?​

Answers

$153.37 x 4 = $613.48
$613.48 / 7 = $87.64
i believe $87.64 is your answer

Games at the carnival cost $2.50 each. The prizes awarded to winners cost $135.00. How many games must be played to make at least $45?


Question 1 options:


71



71.5



72



72.5




I WILL GIVE BRAINLIST POINTS

Answers

Answer:

72

Step-by-step explanation:

I DIVIEDE 180 DIVIEDED BY $2.50=72

675 grams of sweets were distributed among 9 children. How much sweet was given to each child?

Answers

Answer:

75 Sweets

Step-by-step explanation:

To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.

Each child was given 75 grams of sweets as per linear equation when distributed.

What is a linear equation?

A linear equation is an equation where the highest degree of the variable is one.

Given, there are a total of 675 grams of sweets.

There are a total of 9 children among which the sweets is to be distributed equally.

Therefore, each children will get sweets of

(675 ÷ 9) grams

= 75 grams.

Therefore, each child will get 75 grams of sweets when it is distributed equally.

Learn more about a linear equation here: https://brainly.com/question/18467717

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If b(x) = -2(x​​-50), what is the value of b(20)?

Answers

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

Will give 20 points if you answer correctly, will give brainliest! Please answer and EXPLAIN! Thanks

write the slope intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation (-3,5), y=-5x+3

a. y= 10x-5
b. y=-5x-10
c. y=-5x+10
d. y+1/5x-5

Please help! Thx!

Answers

Answer: B

Step-by-step explanation:

so for the slope to be parallel, it means it's the same slope as the given equation which is -5

using point slope, we can write a new equation

y -5 = -5(x+3)

y -5 = -5x-15

y = -5x-10

I need help on this problem ​

Answers

Answer:

y² - 2y - 4x + 9 = 0 (*)

a = 1    b = -2    c = -4x + 9

Δ = b² - 4ac = 4 - 4(9 - 4x) = 4 - 36 + 16x = 16x - 32

if (*) have the solutions => Δ ≥ 0

⇔ 16x - 32 ≥ 0 ⇔ x ≥ 2

with x ≥ 2 => y = [tex]\frac{2+\sqrt{16x-32} }{2}=\frac{2+4\sqrt{x-2} }{2}=1+2\sqrt{x-2}[/tex]

or y = [tex]1-2\sqrt{x-2}[/tex]

Step-by-step explanation:

Jordie's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Jordie's curtain company wants to make 67 curtains, how many feet of fabric will he need?

Answers

Answer: 201 feet

Step-by-step explanation:

It should be noted that 1 foot = 12 inches. Therefore, 36 inches = 36/12 = 3 feets.

Each cotton uses 3 feets in length. Therefore, 67 curtains will use:

= 67 × 3 feets

= 201 feets

D=
R=
Function?
Find the domain and range of each relation.

Answers

Answer:

Try to do it with mth way

domain is -4,-2,5. and range is 0,3,7,9.

The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.

Answers

Given :

The Ironman endurance race has a 2.4 miles swim.

Javier can swim 0.5 miles in 20 minutes.

To Find :

How much time in hours it takes to complete the race.

Solution :

Speed of Javier :

[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]

Let, time taken to cover 2.4 miles is t .

So,

[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]

Hence, this is the required solution.

Evaluate the expression w² - v + 1 for w = -2 and v = -8.

Answers

Answer:

13

Step-by-step explanation:

-2(-2) - (-8) + 1

4 + 8 + 1 = 13

Answer:

13

Step-by-step explanation:

cause i did it and it was right

A scooter travels 30 feet in 2 seconds at a constant speed.
What is the speed of the scooter in feet per second?

Answers

Answer:

15

Step-by-step explanation:

Since it goes 30 in 2 seconds, we need to divide 30 and 2 and end up with 15.

To make sure our answer is correct we know that 15 is one second, so we can add 15+15= which will give us 30, and will also land at 2

Brainliest pls

The speed of the scooter is 15 feet per second.

To calculate the speed of the scooter in feet per second, you can use the formula:

Speed = Distance / Time

The distance traveled by the scooter is 30 feet, and the time taken is 2 seconds.

Plugging these values into the formula, we get:

Speed = 30 feet / 2 seconds

Speed = 15 feet/second

Therefore, the speed of the scooter is 15 feet per second.

To learn more on Speed click:

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Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return

Answers

Answer:

Carlos rode further than on Saturday by 107/56 miles.

Step-by-step explanation:

i did the quiz lol

Answer:

Its D

Step-by-step explanation:

I took the test and got it right.

Work out the area of the shape drawn below.
Give your answer correct to 2 decimal places.

Answers

Answer:

39.27

Step-by-step explanation:

Formula: PIEr^2/2

so 5 square which is 25.

then 25 times pie which is then divided by 2

39.27

In a survey of 1,300 people who owned a certain type of​ car, 260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

[tex] \frac{satisfied \: peaple}{total \: peaple} \times 100\%[/tex]

[tex] \frac{260}{1300} \times 100\% \\ = 19.23076923\%[/tex]

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.

Answers

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Divide using partial products 52/5 =

Answers

Answer:

um.. ok    the answer is 10 remainder 2

Step-by-step explanation:

5 goes into 52

10 times

Answer:

10.4

Step-by-step explanation:

Carmen was scuba diving 115 feet below the surface of the ocean. She swam up 20 feet to
look at a colorful school of fish.
What is Carmen's position now relative to the surface of the ocean?
feet

Answers

Answer:

-115+20= -95 so, carmen is scuba diving 95 feet below surface level

Step-by-step explanation:

below surface level means negative

Answer:

The answer: - 95 DON'T FORGET THE NEGATIVE SIGN!

Step-by-step explanation:

kaiuzumaki2004oxopxl

Answers

Answer:

is there free point. if is plz it shows nothing

Help meeeeeeee!!!!!!!!!!’n

Answers

Answer:

A.

Step-by-step explanation:

Answer:

A. 5 adult tickets and 15 children tickets

Step-by-step explanation:

Help me with these please

Answers

Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

Hope this helps!

a typical car releases 36 tons of carbon dioxide and six years at a constant rate how many times will a car release in 10 years ?​

Answers

Answer:

60 Tons

Step-by-step explanation:

36 divided by 6 equals 6. So that six is used for the for extra years

36+6+6+6+6

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A typical car releases 36 tonnes of carbon dioxide and six years.

Let 'x' be the amount of carbon dioxide.

At a constant rate, the number of tonnes of carbon dioxide released in 10 years will be given as,​

x / 10 = 36 / 6

Simplify the equation, then we have

x / 10 = 36 / 6

x / 10 = 6

x = 60 tons

The number of tonnes of carbon dioxide released in 10 years will be 60 tonnes.

More about the solution of the equation link is given below.

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Someone please help me to solve this (8.99 x 10^9) (3 x 10^-5) (-6 x 10^-5)

Answers

Answer:

(8.99 x 10^9)(3 x 10^-5)(-6 x 10^-5)
(8.99 x 3)(10^9 x 10^-5)(-6 x 10^-5)
26.97 x 10^9-5(-6 x 10^-5)
26.97 x 10^4(-6 x 10^-5)
2.697 x 10^5(-6 x 10^-5)
-16.182

write an equation for the line above

Answers

Answer:

y= -3x/5

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept

m= rise/run = -3/5 (go from one point to the other on the graph)

y-intercept is (0,0)

HALP MEEEE

Alice, Maggie, Luna, and Zeinab were making necklaces for the school fair. Alice made 52 necklaces that are each 8.2 inches long. Maggie made 46 necklaces that are each 7.8 inches long. Luna made 21 necklaces that were each 7.7 inches long. And Zeinab made 31 necklaces that were each 8.7 inches long. They all used beads that were each 2 centimeters long. how much beads would the girls use to fit all of the necklaces they made?

Alice:_______
Maggie:_______
Luna:_______
Zeinab:_______

Answers

Answer:

Alice: 2184

Maggie:1794

Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out

Zeinab:1333 same with this one

Step-by-step explanation:

m(t) =
t2-8t-20/
t+5
m(5) =
a. 8.5
b. -8.5
C. 3.5
d. -3.5

Answers

Answer:

d. -3.5

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Find the slope of each line.

Answers

the slope is -3/4 :)

solve 5x + 20=75
What is x

Answers

Answer:

x = 11

Step-by-step explanation:

this answer can be solved by simple operations

5x + 20 = 75

5x = 55 (subtracted the 20 from 75)

x = 11 (divided the 5 by 55)

hope this helps !!

- emily

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