Mathematics High School

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

. |13 - 7| = |13| - |-7
True or false

Answers

Answer:

Step-by-step explanation:

You are dealing with absolute values, so both sides equal 6, so it's true

Which range contains the value of sqrt(14+7+23)
A. Between 6.6 and 6.8
B. Between 11.1 and 11.3
C. Between 21.9 and 22.1
D. Between 33.7 and 33.9

Answers

Answer:

the answer to this question is c

1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘

3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=

Answers

Answer:

1. m<1 = 139°

2. m<2 = 41°

3. x = 29

Step-by-step explanation:

1. m<1 = 86° + 53° (exterior angle theorem of a triangle)

m<1 = 139°

2. 133° = m<2 + 92° (exterior angle theorem of a triangle)

133° - 92° = m<2 (Subtraction property of equality)

41° = m<2

m<2 = 41°

3. 4x + 15 = 93° + (x + 9)° (exterior angle theorem of a triangle)

Add like terms

4x + 15 = 102 + x

4x - x + 15 = 102 (substraction property of equality)

3x + 15 = 102

3x = 102 - 15

3x = 87

x = 87/3 (division property of equality)

x = 29

Which is a perfect square?

Answers

Answer:

I can't see anything

A perfect square is  the product of a rational number multiplied by itself.

Examples: 20 square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.

Hope this helps

Is the following relation a function?

Answers

Answer: Yes

Step-by-step explanation:

I need help with this question ASAP
​

Answers

The solution is (4,-6) and it is that point because a solution is the intersection point of the two lines.

3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this week?​

Answers

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]

A pickup truck carrying 10*3 identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what is the weight of each brick? Explain how you solved the problem.

Answers

Answer:

The truck now weighs 2130 kilograms. Hope this helps.

Step-by-step explanation:

If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?

Answers

Answer: 1/5525

Explanation:

There are 4 queen in a standard deck.

52 cards in total.

The probability of picking a queen is 4/52.

The probability of picking a queen again is 3/51.

The probability of picking another queen is 2/50

P = 4/52 x 3/51 x 2/50
P = 1/13 x 1/17 x 1/25
P = 1/5525

Answer:

0.01809955% or about 0.018%

Step-by-step explanation:

You do the multiplication of 4/52 by 3/51 by 2/50

what is the solution of the linear system shown in the graph below?

Answers

Solution would be where the two lines intersect but they never do. They are parallel and never meet

Answer: no solution

helllllllllllllpppppppppppp me plz *waves* hiiiiiiiiiiiii

Answers

Answer:

x=18 and y=72

Step-by-step explanation:

Answer:

d is right

Step-by-step explanation:

the coffee pub has cans of coffee that weigh 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. what is the total weight of 8 1/2 cans ? show your work​

Answers

Final Answer: [tex]27\frac{5}{8}[/tex] pounds

Final Answer Reason: The total weight of [tex]8\frac{1}{2}[/tex] cans would be [tex]27\frac{5}{8}[/tex] pounds

Steps/Reasons/Explanation:

We'll need to find the total weight of [tex]8\frac{1}{2}[/tex] cans, so we would need to multiply [tex]3\frac{1}{4}[/tex] cans by [tex]8\frac{1}{2}[/tex] cans. We are solving for the total weight of [tex]8\frac{1}{2}[/tex] cans.

Question: The coffee pub has cans of coffee that weigh [tex]3\frac{1}{4}[/tex] pounds each. The pub has [tex]8\frac{1}{2}[/tex] cans of coffee left. What is the total weight of [tex]8\frac{1}{2}[/tex] cans?

Solve For: The total weight of [tex]8\frac{1}{2}[/tex] cans.

Steps: Multiply to find total weight of [tex]8\frac{1}{2}[/tex] cans.

[tex]3\frac{1}{4}[/tex] × [tex]8\frac{1}{2}[/tex]

= [tex]\frac{13}{4}[/tex] × [tex]\frac{17}{2}[/tex]

= [tex]\frac{221}{8}[/tex]

= [tex]27\frac{5}{8}[/tex]

~I hope I helped you :)~

,,,,,,,,,,,,,,,,,,,lllllllll..........

Answers

Answer: 7

Step-by-step explanation: The opposite of Multipication is division so divide 84 by 12

Answer:

k=7

Step-by-step explanation:

Call me weird but I love these types of questions.

Ok to solve this here's what you need to do.

Your solving for k right?

So make an equation.

Product is the result of multiplication so 12 and k would be 12k.

It needs to equal 84 so 12k=84

Now you need to get rid of 12.

You need to use the opposite operation as the number your trying to get rid of. In this case it would be division.

[you do not divide the x because you need it alone on one side]

So 12k divided by 12 = 84 divided by 12

12k/12 is k because a number divided by itself is 1.

84/12 is 7.

that leaves us with k=7

Thats it!

If you need further help don't be afraid to reach out and I hope this helped! <3

What are the coordinates of A after ABC is reflected over the y axis ​

Answers

Answer:

(-8;7) ---> (8;7)

x changes sign. y stays with the same sign

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

What basic construction is shown here?

1) Bisect a line segment
2) Construct a parallel line
3) Construct a perpendicular line
4) Construct a perpendicular bisector

Answers

pretty sure it is 2 but not 100% sure

Susie wants to buy 5 slices of pizza and a liter of soda that costs $5 for her and her friends. How much money does Susie need?

Answers

if its $5 for 5 slices and $5 for one soda then she needs $10 but if it’s $5 for the 5 slices and soda then she needs $5 the question isnt very clear

PLEASE HELP SHOW WORK

write an expression equivalent to 17/12 times 6

Answers

Answer:

34/4

Step-by-step explanation:

17/12(6)=17/2

17(2)=34

2(2)=4

34/4

Given that triangle RST is isosceles, find the value of ZS

Answers

Answer:

120°

Step-by-step explanation:

[tex]m\angle S = 180\degree - 2\times 30\degree \\\\

m\angle S = 180\degree - 60\degree \\\\

\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]

is it
45cm²

40cm²

36 cm²

32cm²​

Answers

Answer:40

Step-by-step explanation:

Answer:

the answer is 40cm^2

Step-by-step explanation:

i multiply them

4.83 x 8.18 = 39.5094

the estimate is 40

Find all real values of x that satisfy the equation x^2 - 7x = 98.

Answers

Answer: x=14,-7

Step-by-step explanation:

In the diagram below AC is parallel to rp:
How many units? please help!

Answers

The perimeter of the triangle ABC will be 54 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In the diagram, AC is parallel to RP.

Then the triangle ABC and RBP will be similar.

Then the ratio of the corresponding sides will be constant.

BP / 10 = 7 / 14

      BP = 5

Then the perimeter of the triangle ABC will be

Perimeter = 7 + 14 + 18 + 10 + 5

Perimeter = 54 units

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Solve for . need 20 letters lol
/5 = −9

Answers

Answer:

r=-45

Step-by-step explanation:

r/5=-9

x 5    x5

________________

r=-45

Hope this helps ∞<3

I need help solving this ! I would appreciate it

Answers

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1 1/5 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?

Answers

Answer:

109.33 boxes

Step-by-step explanation:

The first step is to calculate the total number of tape

= 32.9 × 4

= 131.6 m

Therefore the total number of boxes that Samuel will use to seal the boxes can be calculated as follows

= 131.6/ 1 1/5

= 131.6 ÷ 6/5

= 131.6 × 5/6

= 658/6

= 109.33 boxes

Alani is the head baker at Patty Cakes Bakery.
She uses 8.75 pounds of sugar each day making
cupcakes. How many pounds of sugar would she
use over 7 days?


1. After the cupcakes are decorated, Alani packages
them to be sold. Each cupcake costs $4.25. If a
customer ordered 9 cupcakes, how much would
it cost?

ANSWER BOTH QUESTIONS AND WHOEVER DOES IT FIST GETS BRAINIEST

Answers

Answer:

1).Sugar used in 7 days = 61.25 pounds

2). Total cost of 9 cupcakes = $38.25

Step-by-step explanation:

1). Alani uses 8.75 pounds of sugar each day.

  So, sugar used in 7 days = Amount of sugar used in one day × Number of    days

= 8.75 × 7

= 61.25 pounds

2). Since, each cupcake costs $4.25

   Number of cakes ordered = 9

  Total cost of 9 cupcakes = Cost of each cupcake × Number of cupcakes

                                             =  4.25 × 9

                                             = $38.25

At hockey practice, Coach Taylor always sets aside 80% of total time for game play. The rest of the practice is spent on the warm up. At practice yesterday, players spent 72 minutes on game play. The players want to know the total practice time.

NEED HELP ANSWER ASAP PLS> GIVING POINTS AND BRAINLIEST!!!

Answers

Answer:

90 minutes

Step-by-step explanation:

0.80x=72

divide 72 by 0.80 = 90

check work... 80% of 90 = 72

Answer:

90 minutes

Step-by-step explanation:

If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?








and if u delete that i can say u guys were deleting actual questions- and have proof too ha.







seriously again im not mean irl

Answers

Put both values into a ratio

P:B
28:79

Answer:

79/28

Step-by-step explanation:

i have no clue-

What is the function??

Answers

The answer would be c.2

Who wants an old Nitrotype account
I have the buganni vyrus something like that

Answers

Answer:

I do

Step-by-step explanation:

4/7 of students at a school are boys if there are 2184 students at the school how many Are girls ?

Answers

Answer:

About 936 are girls

Step-by-step explanation:

Take the fraction 3/7, since that is the remaining proportion of students that are girls, and multiply it by 2184.

1245 to be exact

please put brainleyist

Other Questions
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(paragraph 2) Bernies estimated that 69% of 242 is 168 is her estimate reasonable solve system of equations using the elimination method A roller coaster containing four cars is accelerating at 15 m/s2 before it comes to an abrupt stop at the end of the ride. The mass of one car is 200 kg. How much force was exerted on the roller coaster to bring it to a stop?A - 60NB - 800NC - 3000ND - 12000N Input -13,20,0,-4,11,-1,17,?Output-15,-11,-9,-2,-1,5,5,13what numbers can be placed into the empty cell so the table of values satisfies the definition of the functionthese are the select answers-5-1021117 summary of the poem The waterfall Select the reset button on the lab activity. Select the boy icon. Select the middle note locatedin the bottom right of the lab activity. Select the GO button. What happened to the pitch of thesound as the sound source moved past the observer? Record your observations. 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A. She is motherly in her affection to all those she knows. B. She wants to be able to help her husband. C. She is educated and financially independent. D. She needs men to protect her from Count Dracula. E. She doesnt turn into a vampire after being bitten. Help thank you to who ever does I will mark brainliest.