Factor the polynomial
12xsquared + 4x

Answer:

the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Step-by-step explanation:

didn't know if you needed the definition or not :)

see the photos above given

Answer:

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

The solutions are

[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]

The Real roots are

[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]

Step-by-step explanation:

[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]

Multiply both sides by [tex]x^4[/tex]

[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]

[tex]$18+x^2=4x^4$[/tex]

[tex]4x^4-x^2-18=0[/tex]

Substitute [tex]x^2=t[/tex]

[tex]4t^2-t-18=0[/tex]

Solving the quadratic equation using the quadratic formula:

[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]

[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]

[tex]$t=\frac{1\pm 17}{8}$[/tex]

[tex]$t_1=\frac{9}{4}$[/tex]

[tex]t_2=-2[/tex]

Now we have to solve for [tex]x^2=t[/tex]

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

Answer:

x= 11

Step-by-step explanation:

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

Multiply both sides by 2:

2(3x -5)= 12 +4x

Expand:

2(3x) +2(-5)= 12 +4x

6x -10= 12 +4x

Bring all x terms to 1 side, constant to the other:

6x -4x= 10 +12

2x= 22

Divide by 2 on both sides:

x= 22 ÷2

x= 11

Answer:

130°

Step-by-step explanation:

Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)

Answer:

0.56

Step-by-step explanation:

Answer:

(4x-3)°=37

Step-by-step explanation:

solve for x

6x-7+90+4x-3=180

10x=180-80

10x= 100

x=10°

from the equations;

4x-3= 4(10)-3=37° and

6x-7= 6(10)-7=53

therefore the smallest angle =(4x-3) =37

Answer:

1.25

Step-by-step explanation:

I did the math

each notebook is 1.25

if u multiply by 7 it makes 8.75

Answer:

each note bok cost 1.25

Step-by-step explanation:

27.25-15=12.25

12.25-3.50=8.75

8.75/7=1.25

Answer: Functions show real world pattern problems in algebraic form.

Answer:

3) |−70 − 15| = |−85| = 85 units

Step-by-step explanation:

Absolute value ignores negative values so the equation when finding the distance between −70 and 15 is 70 + 15 which equals 85.

h=A 6/b or 6 divided b = h

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

To know more about Quadrilateral on:

https://brainly.com/question/29119487

#SPJ2

Answer:

[tex]1-\cos \left(x\right)[/tex]

Step-by-step explanation:

[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]

Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]

[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]

Cancel cos(x):

[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]

Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]

[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]

Use the difference of squares formula:

[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]

Cancel out 1+cos(x):

[tex]-\left(\cos \left(x\right)-1\right)[/tex]

Remove outer bracket:

[tex]-\cos \left(x\right)+1[/tex]

[tex]1-cos(x)[/tex]

Let's solve each equation for x

8x - 1 = 23

Add 1 to each side.

8x = 24

Divide both sides by 8

x = 3

Luckily, we already found the equation which has the solution of x = 3

The answer is: 8x - 1 = 23

Answer:

x - 27 = -(27 - x)

x - 27 = -27 + x

x = x

-27 is moved to the right side making it +27 and cancelling out with the -27.

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

Please Mark Brainliest!

Answer:

y=3x+6

Step-by-step explanation:

Answer:

23 square inches

Step-by-step explanation:

92/4

Answer: 1.25 hours

Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.

Answer:

  0.72 pounds

Step-by-step explanation:

Each of the 7 people gets 1/7 of the pounds of pie, so ...

  (5.04 pounds)/7 = 0.72 pounds

Each person gets 0.72 pounds of pie.

Answer: i hope it helps

In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If ... ... If a student is chosen at random, what is the probability of choosing a girl or an A student? ... I thought it would be B because we need to minus 3/30 probably that's both girl and A student.

Step-by-step explanation:

Answer:

Before A:[tex]\frac{3\sqrt{3}}{6}[/tex]

A:Already Simplified!

B:Also, Already Simplified! Can be changed to [tex]\frac{\sqrt{12}}{3}[/tex]

C:Already Simplified, yet again. Can be changed to[tex]\frac{\sqrt{27}}{3}[/tex]

D:Already Simplified.

Step-by-step explanation:

For Before A, I multiplied both denominator and numerator by square root of 3. The multiplication moved the square root to the numerator, simplifying the fraction.

The different forms of B and C are just that I multiplied the square of the first number into the square roots. This is OK because the square root of a number's square is the number itself. Therefore, you can multiply a square root by the square of the number from outside the root.

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5 ( y - 4 ) = 7 ( 2y + 1 )

The value of y.

5 ( y - 4 ) = 7 ( 2y + 1 )

or, 5y - 20 = 14y + 7

or, 5y - 14y = 7 + 20

or, -9y = 27

or, y = 27/-9 = -3

The value of y is -3.

Answer:

m<STW

Step-by-step explanation:

The m<4 is the vertex which is also T.

You can answer it with m<T but since there is lots of there, just to be more specific m<STW  would be the answer.

The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.

Answer:

1679616

Step-by-step explanation:

Answer:

1679616

Step-by-step explanation:

Complete question is;

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans

Answer:

A) Relative percent distribution

B) 576 Americans

Step-by-step explanation:

A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.

Thus,it is relative percent distribution.

B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people

Greetings from Brasil...

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

A = ΔY/ΔX

B = where the line intersects the Y axis

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3)     see attached picture

A = 2

So,

F(X) = AX + B

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.