What is a simpler form of (2x²-3x+1)(x-3)?

Answer:

-35

Step-by-step explanation:

[tex]-5 = \frac{1}{7}a\\-35 = a[/tex]

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

Answer:

B is the answer

Step-by-step explanation:

[tex]f(x).?g(x).dx[/tex] + [tex]?(f?(x).?g(x).dx).dx[/tex] = [tex]?f(x).g(x).dx[/tex]

Hoped this helped.

The integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)

In this question we must derive a integration rule for the product of two functions that are integrable. The integration by parts method is inspired on the differentiation rule for the product of two differentiable functions, whose definition is shown below:

[tex]\frac{d}{dx} [f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x)\cdot g'(x)[/tex]    (1)

If we integrate and used integral Calculus theorem on both sides of (1), then we have the following expression:

f(x) · g(x) = ∫ g(x) · df + ∫ f(x) · dg

∫ f(x) · dg = f(x) · g(x) - ∫ g(x) df    

Therefore, the integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)

To learn more on integration by parts, we kindly invite to check this verified question: https://brainly.com/question/14402892

Answer:

Go on Calculators-free math help

Step-by-step explanation:

go on there and type the anwer and it is free

Answer:

5*(-8)

Step-by-step explanation:

its not allowing me to send it. can i send somewhere else?

Step-by-step explanation:

Answer:

353

Step-by-step explanation:

95 - 10 + 2(141 - 7)

following PEMDAS we will do parenthesis first

95 - 10 + 2(134)

multiplication is next

95 - 10 + 268

addition and subtraction are interchangeable when using PEMDAS but you do whatever comes first. since it's subtraction first in this equation we will do 95 - 10.

85 + 268

now we are left with addition

85 + 268 = 353

Answer:

Step-by-step explanation:

Note. Solved as per your comment

Answer:

4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x

Step-by-step explanation:

length = 5 - 2x

width = 3 - 2x

heighth = x

x(5 - 2x)(3 - 2x)

x(15 -16x + 4[tex]x^{2}[/tex])

4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x

The largest volume of such a box is 4.345[tex]ft^{3}[/tex].

Given that,

A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges.

The shaded region represents the area  that was cut from the corners of the box.

We have to determine,

The largest volume of such a box.

According to the question,

The height will be  x

The width will be  (3 − 2 x)

And the length will be ( 5− 2 x)

.

The formula for volume will be,

[tex]Volume = Length \times Height \times Width\\\\[/tex]

Substitute the values in the formula,

[tex]Volume = x(3-2x).(5-2x)\\\\Volume = (3x-6x^{2}).(5-2x)\\\\Volume = 3x(5-2x) - 6x^{2}(5-2x)\\\\Volume = 15x - 6x^{2} - 30x^{2} + 12x^{3}\\\\Volume = 12x^{3} -36x^{2} + 15x[/tex]

 Then,

To Find the derivative of the equation,

[tex]V = 12x^{3} -36x^{2} + 15x\\\\Differentiate\ with\ respect\ to\ x\ both\ sides,\\\\\dfrac{dv}{dx} = \dfrac{d(12x^{3} -36x^{2} + 15x)}{dx}\\\\V' = 36x^{2} - 72x+15[/tex]

The critical numbers by seeing where  V '  =  0,

[tex]= 36x^{2} -72x +15\\\\= 3 ( 12x^{2} - 24x +5 )\\[/tex]

By using the quadratic formula or your calculator to solve for  

x = 0.23, and 1.6

x = 1.6 is not in the domain since that would make one of our side lengths less than zero.  x  =  0.23

Plug x back into the equations to get the dimensions,

[tex]3-2x = 3- 2 \times -0.23 = 3+0.46 = 3.46\\5-2x = 5 - 2 \times -0.23 = 5+0.46 = 5.46[/tex]

Therefore, the dimension are  0.23 ft x 3.46 ft x  5.46 ft.

Hence, The largest volume of such a box is 4.345[tex]ft^{3}[/tex].

To know more about Dimension click the link given below.

https://brainly.com/question/23288467

Answer:

u can with math u cant with history

Step-by-step explanation:

can i has brainliest

Answer:

no you can not because the 6 doesn't have the same variable as the 2

Step-by-step explanation:

Answer: it’s 20 hope this helps:)

Step-by-step explanation:

Answer

The answer is 20

Given:

The equation is:

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

To find:

The value of x.

Solution:

Formulae used:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](a-b)(a+b)=a^2-b^2[/tex]

We have,

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

Taking LCM, we get

[tex]\dfrac{(x+1)^2-(x^2-1)^2}{(x-1)(x+1)}=\dfrac{7}{12}[/tex]

[tex]\dfrac{x^2+2x+1-(x^2-2x+1)}{x^2-1^2}=\dfrac{7}{12}[/tex]

On cross multiplication, we get

[tex]12(x^2+2x+1-x^2+2x-1)=7(x^2-1)[/tex]

[tex]12(4x)=7x^2-7[/tex]

[tex]48x=7x^2-7[/tex]

[tex]0=7x^2-48x-7[/tex]

Splitting the middle term, we get

[tex]7x^2-49x+x-7=0[/tex]

[tex]7x(x-7)+1(x-7)=0[/tex]

[tex](7x+1)(x-7)=0[/tex]

[tex]x=-\dfrac{1}{7},7[/tex]

Therefore, the values of x are [tex]-\dfrac{1}{7}[/tex] and [tex]7[/tex].

Answer:

  3

Step-by-step explanation:

Number of Questions = 30

Percentage incorrect = 10%

10% = 10 / 100 x 30

= 300 / 100

= 3

George got 3 questions incorrect.

Answer:

V= 1331in³

Step-by-step explanation:

Answer:

1331 in

Step-by-step explanation:

Answer:

The answer is D of course

Step-by-step explanation:

Y- intercept; when the value of X=0 so,

4(0) - 3y = 24

-3y=24 over -3 over -3 we get -8

Answer:

4 / 9th of students have blonde hair

Step-by-step explanation:

Fraction of blonde hair students to brown hair students = 4 : 5

Fraction of students having blonde hair = Blonde hair ratio share / Total ratio

= 4 / 9th of students have blonde hair

Answer: its cubic

Step-by-step explanation:

The graph below is an example of a cubic type of function. Option C is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

1. A parabola is the graph of a quadratic function. As a result, the presented graph is not a quadratic function graph.

2. A straight line is represented by a linear function. As a result, the presented graph is not a linear function graph.

3. A cubic function's end behavior is opposite at both ends. We can see that the presented graph satisfies these requirements.

4. A square root function's graph resembles a half parabola. As a result, it can't be the graph of the square root function.

The graph below is an example of a cubic type of function.

Hence,option C is correct.

To learn more about the function refer:

https://brainly.com/question/5245372

#SPJ2

Answer:

100.000 liters of water would b your answer.

Step-by-step explanation:

if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000

Answer:

A=30cm^2

Step-by-step explanation:

Area of a parallelogram is base X height

in this diagram base = 10 cm

height = 3 cm

3 X 10 = 30

Answer:

30 cm^2

Step-by-step explanation:

Formula of parallelogram = base * height

height = 3

base = 10

10(3) = 30

Answer:

so the discount is 42 and the bill is $78

Step-by-step explanation:

0.35*120=42

discount is 42

120-42=78

the bill is $78

Answer:x=square root(239)

Step-by-step explanation:

The way to solve this is via the Pythagorean theorem(a^2 + b^2 = c^2)

a= a leg

b= another leg

c= hypotenuse

16^2 = square root(17)^2 + x^2

256 = 17+ x^2

239 = x^2

x=square root(239)

Answer:

Step-by-step explanation:

they are opposite angles, so we put them equal to each other.

25.

6a+10= 130

6a=120    a=20   so now we plug it in 6(20) +10= 130

26.   4a-4=2a+30

      2a=34      a=17   sso now we plug in 4(17)-4= 64    2(17)+30= 64

27.    6y+1=4y+9                             2x-5=x+7

          2y=8                                      x=2

         y=4

now plug in 6(4)+1=25     4(4)+9=25     2(2)-5= -1     (2)+7=9

it will be 205.2 inches!

Answer:

Colton solved 9 math problems and read 18 pages.

Answer:

The meal cost 80 dollars

Answer:

a₇ =  2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = [tex]\frac{-76}{152}[/tex] = [tex]\frac{38}{-76}[/tex] = [tex]\frac{-19}{38}[/tex] = - [tex]\frac{1}{2}[/tex]

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 152 [tex](-\frac{1}{2}) ^{n-1}[/tex] , so

a₇ = 152 [tex](-\frac{1}{2}) ^{6}[/tex] = 152 × [tex]\frac{1}{64}[/tex] = 2.375

Answer:

Solution given:

first term [a]=152

second term[b]=-76

common ratio[r]=[tex] \frac{-76}{152}[/tex]=-1/2

now

for nth term ,we have

nth term =a [tex] {r}^{n -1} [/tex]

now

7th term==152[tex] {-1/2}^{7 - 1} [/tex]

=152×1/64=19/8