Simplify and please show working!
4x^2-25/2x^2-7x+5

Answers

Answer 1

Answer:

-17x2 - 14x + 10

 ————————————————

        2        

Step-by-step explanation:

STEP

1

:

           25

Simplify   ——

           2

Equation at the end of step

1

:

             25

 (((4•(x2))-(——•x2))-7x)+5

             2

STEP

2

:

Equation at the end of step 2

                 25x2            

 (((4 • (x2)) -  ————) -  7x) +  5

                  2              

STEP

3

:

Equation at the end of step

3

:

           25x2            

 ((22x2 -  ————) -  7x) +  5

            2              

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

            22x2     22x2 • 2

    22x2 =  ————  =  ————————

             1          2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

22x2 • 2 - (25x2)      -17x2

—————————————————  =  —————

        2               2  

Equation at the end of step

4

:

  -17x2          

 (————— -  7x) +  5

    2            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         7x     7x • 2

   7x =  ——  =  ——————

         1        2  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-17x2 - (7x • 2)     -17x2 - 14x

————————————————  =  ———————————

       2                  2    

Equation at the end of step

5

:

 (-17x2 - 14x)    

 ————————————— +  5

       2          

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        5     5 • 2

   5 =  —  =  —————

        1       2  

STEP

7

:

Pulling out like terms :

7.1     Pull out like factors :

  -17x2 - 14x  =   -x • (17x + 14)

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

-x • (17x+14) + 5 • 2     -17x2 - 14x + 10

—————————————————————  =  ————————————————

          2                      2        

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  -17x2 - 14x + 10  =   -1 • (17x2 + 14x - 10)

Trying to factor by splitting the middle term

8.2     Factoring  17x2 + 14x - 10

The first term is,  17x2  its coefficient is  17 .

The middle term is,  +14x  its coefficient is  14 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   17 • -10 = -170

Step-2 : Find two factors of  -170  whose sum equals the coefficient of the middle term, which is   14 .

     -170    +    1    =    -169

     -85    +    2    =    -83

     -34    +    5    =    -29

     -17    +    10    =    -7

     -10    +    17    =    7

     -5    +    34    =    29

     -2    +    85    =    83

     -1    +    170    =    169

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -17x2 - 14x + 10

 ————————————————

        2        


Related Questions

q + 12 ≥ 5
Solve the inequality

Answers

Answer:

Q≥-7

Step-by-step explanation:

Q+12≥5 subtract 12 from both sides Then simplify

Need help fast!!
What is the value of x

Answers

Answer:

4.5

Step-by-step explanation:

What is m
Enter your answer in the box

Answers

Answer:

m = 2

Step-by-step explanation:

∠ GLI = 90°

∠ GLH + ∠ HLI = ∠ GLI , that is

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

Then

∠ HLG = 9m = 9 × 2 = 18°

round 34 1/8 to the nearst whole number​

Answers

Answer:

34

Step-by-step explanation:

Because it is a mixed fraction, it tells us the whole number already. After that, we need to look at the actual fraction part and decide if it's large enough to round the whole number up. 1/8 is not, so we keep the whole number at 34

Answer:

That would be 34

Hope that helps!

Step-by-step explanation:

25^-1.5 ?????????? Help

Answers

0,00304585
That’s the answer

Answer:

25^-1.5=0.008

Step-by-step explanation:

what percent of 82 is 9.75. Round your answer to the nearest tenth

Answers

Hi there!

8 would be the nearest ten of 7.995..

1.Multiply 82 with 0.01:

[tex]82[/tex]·[tex]0.01=0.82[/tex]

2.Multiply the terms:

[tex]0.82[/tex]·[tex]9.75=7.995[/tex]

3.Round the term:

[tex]7.995=8[/tex]

Therefore, 82% of 9.75 in nearest tenth is 8.

Please help if you can

Answers

Answer for 1:

19

Answer for 2:

vertical

Answer for 3:

supplementary

Answer for 4:

96°

Answer for 5:

24°

Answer for 6:

120°

Explanation for All Questions:

I'm an Ace, 80% to Genius. Trust me

Find the unknown length in the pair of similar figures.

Answers

Answer:

when figure is similar then ratio of sides are equal .so,

15/5 = y/9

5y = 135

y= 27

or miki5 $ 5.15
There were 41 tickets sold for an event. Tickets for children cost $1.50 and tickets for adults cost $2.00.
Total receipts for the event were $73.50. How many of each type of ticket were sold?
-
How many type of tickets were sold?

Answers

Yes I have to go back home with type and I’m not

100 points ! What is the area of the following composite figure? All angles are right angles.

24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2

Answers

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

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honey i'm home

Answers

Answer:

W t f

Step-by-step explanation:

                  .d88888888bo.

                .d8888888888888b.

                8888888888888888b

                888888888888888888

                888888888888888888

                 Y8888888888888888

           ,od888888888888888888P

        .'`Y8P'```'Y8888888888P'

      .'_   `  _     'Y88888888b

     /  _`    _ `      Y88888888888888888b

  _  | /  \  /  \      8888888888.d8888888888b

 d8b | | /|  | /|      8888888888d88888888888b

8888_\ \_|/            d888888888888888888888b

.Y8P  `'-.            d88888888888888888888888

/          `          `      `Y88888888888888888888

|                        __    888888888888888P

\                       / `   dPY8888888888P'

 '._                  .'     .'  `Y888888P`

    `"'-.,__    ___.-'    .-'

          `-._````  __..--'`


Write in standard form
823000000

Answers

Answer:

8.23 × 10^8

Step-by-step explanation:

count how many spaces there are between the first number and the last number. standard form is between 1-10

The answer is 8.23000000 x 10^8

In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.

Answers

Answer: 1420

Step-by-step explanation:

Solve the following equation for x.
3x - 9 = -42

Answers

Answer:

x = -11

Step-by-step explanation:

Add 9 to both sides of the equation

3 − 9 = −42

3 − 9 + 9 = −42 + 9

Simplify

Add the numbers

3 = −33

Divide both sides of the equation by the same term

3 = −33

3/3 = −33/3

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

= −11

PLEASE PLEASE HELP. I will make you brainlest.

Answers

Answer: 15 √ 2

Step-by-step explanation:

Equilateral triangles have three equal side lengths, three equal angles of 60 degrees, and three equal altitudes.

You would think that the height of an equilateral triangle would also be equal to it's sides, but it's not. The formula for height is: side/2 x √3

10√6 / 2 * √ 3 = 15 √ 2

The decimal form: 21.2

1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L

Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer

than one side of Jared's portrait. What is one side length of Jamilah's portrait?

Answers

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

Please help me answer this!

Answers

Answer:s manifestos icons did go oc so oc do is do is do well oc well onto anton

Step-by-step explanation:

sorry need points

PLEASE HURRY IM ALREADY HAVING AN AWFUL DAY :)
WILL. GIVE BRAINLIEST

Answers

Answer:

3   4   1

Step-by-step explanation:

The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.

Answers

Answer:

base=24

Step-by-step explanation:

2*4=8

192/8=24

Helen is putting together a makeup kit for a friend there are 6 Types of eyeshadow and 3 types of mascara to choose from how many different kits can Helen make btw I’m in 7 grade

Answers

she can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara

The number of people who sleep 8-8.9 hr per night is about how many times the number who sleep 6-6.9 hr a night

Answers

Answer:

3.75 times

Step-by-step explanation:

From the histogram plot of the data :

The number of people who sleep 8 - 8.9 hour per night is about 375

The number of people who sleep 6 - 6.9 hour per night is about 100

Therefore, to compare how many times the number of people who sleep 6 - 6.9 hrs and 8 - 8.9 hrs :

8 - 8.9hrs = 6 - 6.9 hrs * x

375 = 100x

x = 375 / 100

x = 3.75

Hence, the number of people who sleep 8 - 8. 9 is 3.75 times the number of people who sleep 6 - 6.9

A marshmallow bag cost $1.50 how much would 4 bags cost

Answers

Answer:

$6

Step-by-step explanation:

1.50 * 4

6

Hope it is useful

Answer:

6 dollars

Step-by-step explanation:

$1.50 * 4

Find the proper answer

Answers

I think the answer is C

Expand: y(0.5 +8)
Expand: 4(3+4x-2)

Answers

Answer:

.5y+8y=

8.5y

12+16x-8=

16x+4

Step-by-step explanation:

use the distributive property to solve the equation then simplify and combine like terms

(½ point for model; ½ point for correct simplified expression)
(8x + 2) + (-9x + 7)

Answers

Answer:

Simplified= −x+9

Step-by-step explanation:

In ΔOPQ, q = 83 inches, p = 80 inches and ∠P=70°. Find all possible values of ∠Q, to the nearest degree

Answers

Answer:

77.12°

Step-by-step explanation:

Given that:

In triangle OPQ

∠P=70°

line q = 83 inches

line p = 80 inches

To find ∠Q; we use the since rule:

[tex]\dfrac{Sin \ Q}{q} = \dfrac{Sin \ P}{p}[/tex]

[tex]\dfrac{Sin \ Q}{83} = \dfrac{Sin \ 70}{80}[/tex]

[tex]Sin \ Q= \dfrac{Sin \ 70 \times 83}{80}[/tex]

[tex]\text{Sin \ Q= 0.9749}[/tex]

[tex]Q=Sin ^{-1}( 0.9749)[/tex]

[tex]\mathbf{Q = 77.12^0}[/tex]


Can you help me with number 8

Answers

Answer:

A. :)

Step-by-step explanation:

Brainly?

which function is the inverse of y=2^x

Answers

Answer:

The inverse of

y

=

2

x

is

y

=

log

2

x

Explanation:

This is how to do it.

From the given

y

=

2

x

interchange the variables so that

x

=

2

y

then solve for y:

x

=

2

y

take the logarithm of both sides with base

=

2

log

2

x

=

log

2

2

y

log

2

x

=

y

and

y

=

log

2

x

The graph of

y

=

2

x

and its inverse

y

=

log

2

x

. They are symmetric with the line

y

=

x

graph{(y-2^x)(y-log x/log 2)(y-x)=0[-20,20,-10,10]}

3.5(2.25 + x) = 14
x=

Answers

Answer:

x = 1.75

Step-by-step explanation:

Given

3.5(2.25 + x) = 14 ( divide both sides by 3.5 )

2.25 + x = 4 ( subtract 2.25 from both sides )

x = 1.75

Answer:

iho7v078f0

Step-by-step explanation:

Can someone help please

Answers

Answer:

50

Step-by-step explanation:

20+20=40

5+5=10

40+10=50

Answer: P=50

Step-by-step explanation: 20 m = length and 5 m = width

Solution:

P=2(l+w)=2·(20+5)=50

So the perimeter is 50

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