1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
5

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

Standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

Step-by-step explanation:

Here, the given expression is (x-9)(3x-7) + (3x^{2} - 5x+2)

Now, simplifying the above expression in parts, we get

(x-9)(3x-7) = 3x^{2}  - 7x -27x + 63 = 3x^{2}  - 34x + 63

hence, combining both parts:

(x-9)(3x-7) + (3x^{2} - 5x+2)=(3x^{2}   -34x +63) + (3x^{2} - 5x+2)

= 6x^{2}  - 39x + 65

The above expression is of the STANDARD FORM: ax^{2}  +bx + c

Hence, the standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

You might be interested in
A ladder 25 feet long is leaning against a wall the bottom of the latter is 4 feet from the base of the wall how far up is the i
ICE Princess25 [194]

Answer:

The answer to your question is 24.7 ft

Step-by-step explanation:

Data

length of the ladder = 25 ft

distance from the ladder to the ladder = 4 ft

distance from the floor to the ladder = ?

Process

1.- Use the Pythagorean theorem to solve this problem

           c² = a² + b²

- solve for b

            b² = c² - a²

-Substitution

            b² = (25)² - (4)²

-Simplification

            b² = 625 - 16

            b² = 609

-Result

            b = 24.67 ft ≈ 24.7 ft

-Conclusion

The ladder is 24.7 ft from the floor.

3 0
3 years ago
Read 2 more answers
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
DaniilM [7]
A ) h = -16 t² + 135 t + 76
Let : h = 0
0 = - 16 t² + 135 t + 76
B ) t 1/2 = (-b+/- √ ( b² - 4 ac ) / ( 2 a )
t 1/2 = (-135 - √(18,225 + 4,864))/ (-32) = ( - 135 - 151.95) / (- 32)=
= (-286.95) / (- 32) = 9.967 ≈ 9.0 s ( other solution is negative )
Answer:
2)  0 = -16 t² + 135 t + 76;  9 s 

7 0
3 years ago
Read 2 more answers
Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

h(x) =  \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }

h(x) =  \frac{ {(x + 1)}^{2} }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ (x + 1)(x + 1) }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ x + 1}{ {x}  - 1}

The vertical asymptote occurs at

{x} - 1 = 0

x = 1

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

y =  \frac{1}{1}

y=1

8 0
3 years ago
A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
3 years ago
The sum of two numbers is -3. five times the first number equals 3 times the second number. find the two numbers
Licemer1 [7]
-9/8 and -15/8. hope i helped

4 0
3 years ago
Other questions:
  • What is a name of the line?<br> A. I<br> B. KJ<br> C. J<br> D. JI
    13·2 answers
  • Solve for K<br><br> 3(k+5)=-2(3k-6)
    11·1 answer
  • Solve the equation: 2 * x-3 = 25, x =? (digit answer):
    13·1 answer
  • Which is an example of a financial change that we require budgetary consideration
    10·2 answers
  • You can read 1/10 of your book in 1/2 hour. How much of the book can you read in 1 hour?
    14·1 answer
  • 3-1 Ms. Choi started a part-time job at a cafe. She estimates that ⅛ of the people who order coffee also order pastries. Write a
    7·1 answer
  • The sweet shop has 614 pieces of candy. They packed the candy into bags with 7 pieces in each bag. How many bags of candy did th
    5·2 answers
  • Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear com
    10·1 answer
  • Can you help me? PLEASE
    9·1 answer
  • The plans were made too hastily, without enough
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!