f=4x-3)²-(2x+4)²
a) factorise l'espression:

b)déduis en les solutions de l'equation: 4x-3)²-(2x+4)²=0

Answers

Answer 1

Answer:

A)(6x+1)(2x-7)

B)x={-1/6,7/2}

Step-by-step explanation:

A) (4x-3)²-(2x+4)²

(4x-3+2x+4)(4x-3-2x-4) (as a²-b²= (a+b)(a-b) )

(6x+1)(2x-7) (ans)

B) (4x-3)²-(2x+4)²=0

=>(6x+1)(2x-7)=0 (as we have gotten from a that (4x-3)²-(2x+4)² is equal to (6x+1)(2x-7) )

=>6x+1=0

=>2x-7=0

=>6x=-1

Therefore

x=-1/6

=>2x-7=0

=>2x=7

Therefore

x=7/2


Related Questions

Find the slope of 6x – 3y = 5

Answers

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

At Carly's Pancake House there are 39 dirty coffee mugs and 21 clean coffee mugs. What
percentage of the coffee mugs at the pancake house are dirty?

Answers

Answer:

65%

Step-by-step explanation:

What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:

39/60=0.65

therefore, the answer is 65%

PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80

Box of screws:$5.25

Claw Hammer:$12.95

Electric Drill:$42.50


a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.


b.What is the total cost of the items purchased?

Answers

Answer:

Step-by-step explanation:

a. 3n+2s+2h+1x=42.50

b. 90.3

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

i think its 7

Step-by-step

if the jeans were $3.50 and she bought 2 just do 3.50x2 and you will get 7

Vicki $60.98 on jeans

What is h(p)=(p3+4p2-2) in distributive property

Answers

Let's solve for h.
h
p
=
p
3
+
4
p
2

2
Step 1: Divide both sides by p.
h
p
p
=
p
3
+
4
p
2

2
p
h
=
p
3
+
4
p
2

2
p
Answer:
h
=
p
3
+
4
p
2

2
p

The minute hand of a clock in a clock tower has a length of 36 inches.

If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand?

Answers

45 i guessStep-by-step explanation:

I don’t know the answer! Please help

Answers

Answer:

3x=4x-24, x=24, RST=72

I will be doing more 100 point free questions

Solve the equation by completing the square.

x^2+18x=7

please show me how to also. :)

Answers

Answer:

x=-2[tex]\sqrt{x} 22 -9[/tex]

Step-by-step explanation:

Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?

0.3, Five-tenths, Nine-tenths, Two-tenths, 0.8
Two-tenths, 0.3, Five-tenths, 0.8, Nine-tenths
Five-tenths, Two-tenths, 0.3, 0.8, Nine-tenths
Nine-tenths, 0.8, Five-tenths, 0.3, Two-tenths

Answers

Answer:

Step-by-step explanation:

Let's express all the given numbers as decimals:

nine tenths- 0.9

0.3

0.8

five tenths- 0.5

two tenths- 0.2

Ordering them from least to greatest:

two tenths, 0.3, five tenths, 0.8, nine tenths

Answer:

B is your answer

Step-by-step explanation:

How do you find the run between two points? Can the rise be negative? Explain​

Answers

Answer:

Step-by-step explanation:

To find run between two points, you will use the x-values.

For example, (2,3) and (4,5).

Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

To find the run of these two numbers, you will subtract the second x value from the first x value.

Your answer would be 2 for the run.

It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.

Example:

points (2,8) and (5,1)

1 - 8 would equal -7.

What is the correct answer?!
HELP FAST!

Answers

Answer:6.66

Step-by-step explanation:

I’m pretty sure its infinite if not just putt that answer

Answer: 84 r4

Step-by-step explanation:

I think that is correct.

In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced

Answers

Answer:

48 Siamese cats were surveyed

Step-by-step explanation:

Let x represent the total number of surveyed Siamese cats.

Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:

Number of cats who lapped = (5/8)x

Also, 3/16 admitted they would have preferred to use a straw:

Number of cats who used straw = (3/16)x

Taking into consideration that 39 of the Siamese cats gave one of those two answers:

(5/8)x + (3/16)x = 39

(13 / 16)x = 39

x = 39 * 16 / 13

x = 48

48 Siamese cats were surveyed

A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?

Answers

Answer:

131.18

Step-by-step explanation:

Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.

Answers

Answer:

C

Step-by-step explanation:

pleasee help!! im confused

Answers

Answer:

28k + 68

Step-by-step explanation:

7(8 + 4k) + 12

first, you use the distributive property on the parentheses

56 + 28k + 12

then you add like term, 56 + 12 = 68

68 + 28k

numbers with variables go first

28k + 68

Solve each equation.
a. 6x + 4 = 34

Answers

6x=30
x=5
the answer is 5

Step-by-step explanation:

ans;

6x=34-4

6x=30

x=30/6

:x=5#

Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?

Answers

Answer:

Jason has read 50 pages.

Step-by-step explanation:

25% of 200 = 50

Remember "of" means multiply so you multiply 25% to 200

25% x 200

Convert 25% into a decimal

0.25 x 200 = 50

So Jason has read 50 pages.

please help me out!!! i have to pass this test

Answers

Answer: 126!

Step-by-step explanation: I subtracted 180-54, because a triangle should always equal 180.

What is the difference?
7-3=
A. 3
B. 4.
O c. 5
OD. 10
O E. 11

Answers

the answer is B!
hope this helped

3x-4 or = to 7


plz help

Answers

Answer:

3 + 4 = 7  which is true.

Step-by-step explanation:

Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.

To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.

You also have to do the same to both sides, kind of like keeping a balance scale in balance.

In this case, we subtract 4 from both sides first:

3x + 4 -4 = 7 - 4

The + 4 - 4 cancel each other out, so you get:

3x = 3

3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:

3x / 3 = 3 /3  

so 1x = 1.

Since 1x is "1 times x" it is the same as x by itself, so:

x=1

AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):

3 * 1 + 4 = 7

3 * 1 is 3, so:

3 + 4 = 7     which is true.

1 is the only number that works.

Hope this helped.

Factor with the distributive property (no variables)
90+27=

Answers

Your answer is 9(10 + 3)

Tell me if you need an explanation

bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time

Answers

Answer:

Step-by-step explanation:

Find the LCM of 30 & 20

30 =  2 * 5 * 3

20 = 2 * 2 * 5

LCM = 2 * 3 * 2 * 5 = 60

60 minutes = 1 hour

So, again at 10am both will leave at the same time

Answer:

11 am.

Step-by-step explanation:

That would be the LCM of 20 and 30 which is 60 minutes.

So the nexrt time will be 10.00 + 60 mins

= 11.00 am.

If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.

Answers

Answer:

5x -12 = 3x +8 (set the two = each other because they are the same length)

2x- 12= 8 (subtract 3x from both sides)

2x = 20 (add 12 to both sides)

x=10 (what x= for both expressions)

5(10) -12 (plug it into the first one to see what the length is and to see they're =

50 - 12 ( I already multiplied, now subtract)

38 (what the length of TR is)

3(10) +8 (plug it in again but into the other expression)

30+8 (multiply and add)

38 (the two have the same answer, so the x-value is correct.)

38+38= 76 (add the lengths of RS and TR and you get the length of TS)

Step-by-step explanation:

I hope this helps :)

Applying the segment addition theorem, the value of TS is: 76

Given:

TR = 5x - 12

RS = 3x + 8

If T is the midpoint of TS, therefore we would have the following equation:

TR = RS

Plug in the expressions

5x - 12 = 3x + 8

Add like terms together

5x - 3x = 12 + 8

2x = 20

Divide both sides by 2

x = 10

TS = TR + RS (segment addition theorem)

Substitute

TS = 5x - 12 + 3x + 8

Plug in the value of x

TS = 5(10) - 12 + 3(10) + 8

TS = 50 - 12 + 30 + 8

TS = 76

Learn more about segment addition theorem on:

https://brainly.com/question/1397818

Hey I need help ASAP!
Identify the function shown in this graph

Answers

Answer:

The answer is B.

y=-5x + 3

Step-by-step explanation:

Hope this helps

−5(3x − 39) = 2(x − 3) − 3

Answers

Answer:

x=12

Step-by-step explanation:

what does x + 16 equal when x means 7?​

Answers

Answer:23

Step-by-step explanation:

Ok so we’re substituting 7 as x so therefore 7+16=23

Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?

Answers

Answer:

Step-by-step explanation:

Well....if 1/7 liters  of milk makes 1/6 of a jug

Then  six times this must be a full jug....so

6*(1/7)   =

6/7 liters of milk  required

i hope this helps you happy holidays let me know if you need more information

Answer:

6/7

Step-by-step explanation:

I need the answers to these questions ASAP, thank you in advance!

Answers

Answer:

1. sliver's gym

2. sliver's gym

3. fitness planet

4. fitness:345 to sliver: 185

Step-by-step explanation:

1. with zero months

fitness planet cost is C = 22(0)+15= 15

sliver's gym cost is C = 15(0)+5= 5

2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships

3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.

4. Fitness planet C = 22(12)+15 = 345

Sliver's gym C = 15(12)+15 = 185


Kylie is creating a scale drawing of her bedroom. The actual length of her bodis 75 inches fi inch on her drawing represents 2 feel how long should her bed
be in the drawing?

Answers

Answer:

77 feet

Step-by-step explanation:

What is the LCF of 60 and 10 ?

Answers

Do you mean LCM

If you just want to know what is the least common multiple of 10 and 60, it is 60

Answer:

the lowest common factor is 5

Step-by-step explanation

5 can go into both 60 and 10, and thats the lowest that can go into both numbers because 5 times 2 is equal to 10 and 5 times 12 is equal to 60. hope this helps :)

Other Questions
In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisiesto roses in three different ways. A. 7 to 19, 7:19, 7/19B.19 to 7, 19:7, 1977C.7 to 19, 19:7, 1977D.19 to 7, 7:19, 7/19 Explain why the temperature of distilled water is kept at 37C ? Which triangles are congruent by SAS??? quick!! using y= 5x + 12 find the slope of a parallel line someone help me out please Please help me thanks please Is science logical please help meeeeeee Did you guys know...In Justin Biebers song yummy he says you make my toes curl look up the lyrics its hilarious person who provides services directly to individuals Question you know how people be adding pictures on the side of your answer how do you do that... ill give brainliest to any one who helps me first Find the synonym. Choose a word from the list that has the same meaning as the word in italics. Use a dictionary if you need to.John's costume was absurd.dangerenlargepainbuildenoughsoakinterferetightridiculouspersuade PLSSSS I NEED HELP NOW True or false It is common forbasic savings accountsto have interest ratesup to 35%. god loves you!!!!!!!!! Explain why and how the united states became involved in world war II initially without actually declaring war. things to do when high 25 POINTS and brainliestA function is shown. To the nearest whole number, what is the average rate of change of the function over the interval from x = 0 to x = 15? f(x) = 50,900(1.03) Delegated Powers are those possessed by which level of government?A. Federal & StateB.FederalC.LocalD.State Write a 3 to 4 paragraph essay of how you would convince a logger from illegally cutting down trees? Provide logical reasons to support your argument. Remember these loggers are trying to survive and put food on the table for their families. Include the effect of human need and greed, and include a solution as part of your persuasive essay.Here's what you need to address: What effect has human need and greed had on the Amazon Rainforest? How is the Amazon Rainforest important to the world? Which of the following is a transition in the sentence below?Andrea had a fever. Also, she felt very tired.O A. AlsoB. SheC. FeverD. Very The sum of 6 consecutive even numbers is 126.What is the fourth number in this sequence?||EXTRA POINTS + BRAINLET||