What GCF can be factored out of the trinomial?



3x^2-27x-303x
2
−27x−30 = ___\left(1x^2-9x-10\right)(1x
2
−9x−10)

9514 1404 393

Answer:

  (x +3)(x +1)(x -2)

Step-by-step explanation:

A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).

The graph shows zeros at -3, -1, and 2, so your factorization is ...

  (x +3)(x +1)(x -2)

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!

Step-by-step explanation:

Answer:

mhuaaa

Step-by-step explanation:

papapapapapapapapa

Answer:

B) 22

Step-by-step explanation:

AC = BD

6x+10 = 10x+2

simplify:

subtract 6x and 2 from both sides:

4x = 8

x = 2

then:

AC = 6(2)+10 = 22

Answer:

3<-3 FALSE

0>-333 True

-13>-10 false

-10>-13 true

Answer:

-10 > -13

Step-by-step explanation:

On a number line (I wanna see if this works lol)

|___|___|___|___|___|___|

-15  -14   -13   -12   -11   -10   -9

Answer:

9p^2-12p+4

Step-by-step explanation:

Apply perfect square formula;

a=3p , b=2

Apply perfect square formula;

(3p)^2-2*3p*2+2^2

Simplify:

=9p^2-12p+4

Answer:

8,200= A)

Step-by-step explanation:

Answer:

1 9/8

Step-by-step explanation:

Its a lot of explaining lol

Answer:

1) The car can travel 623.3 km with 85 liters of petrol.

2) The car owner has to pay $303.8.

Step-by-step explanation:

1) The distance traveled with 85 L of petrol can be found as follows:

[tex] d = \frac{330 km}{45 L}*85 L = 623.3 km [/tex]

Hence, the car can travel around 623 km with 85 liters of petrol.

2) If the liter of petrol costs $2.25, then the amount of petrol that the car owner has to pay to travel a distance of 990 km is:

[tex]x = \frac{\$ 2.25}{1 L}*\frac{45 L}{330 km}*990 km = \$ 303.8[/tex]

Therefore, the car owner has to pay $303.8.

I hope it helps you!                      

the answer is 1320 :) (hopefully you can read the writing in my work)

Answer:

Lots of people are just answering to get free points now, they're not actually giving answers.

(and sorry if you miss the way it used to be).

Answer:

x<20

Step-by-step explanation:

Building linear functions for each situation, the inequality is:

[tex]18x + 100 < 15x + 160[/tex]

------------------

Choice A:

Thus, the cost of inviting x guests is given by:

[tex]C_a(x) = 18x + 100[/tex]

Choice B:

Thus, the cost of inviting x guests is given by:

[tex]C_b(x) = 15x + 160[/tex]

A cost less than B, thus, the inequality is:

[tex]C_a(x) < C_b(x)[/tex]

[tex]18x + 100 < 15x + 160[/tex]

A similar problem is given at https://brainly.com/question/13270950

Answer:

125

Step-by-step explanation:

131.25   105

of      100

Cross multiply process

131.25x100=108x?

131.25x100=13125

13125=108?

13125/108=?

125=?

:)

Answer:

y = x + 5          

Step-by-step explanation:

1) First, find the slope of the line [tex]x-y = 4[/tex]. We can do this by setting it up in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. Whatever [tex]m[/tex] or the coefficient of the x-term is will be the slope. Isolate y in the equation:

[tex]x-y = 4\\-y = -x+4\\y = x -4[/tex]

So, the slope of the given equation is 1. Parallel lines share the same slope, thus the slope of the new line will be 1 as well.

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] is the slope, substitute 1 for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, substitute the x and y values of (-6, -1) into those places as well. Then, isolate y in the resulting equation to put the equation in slope-intercept form and find the answer:  

[tex]y-(-1) = 1 (x-(-6))\\y + 1 = 1 (x + 6)\\y + 1 = x + 6\\y = x + 5[/tex]

Answer:

17?

Step-by-step explanation:

Answer:

1. P = 14cm; A = 10cm^2

2. P = 24cm; A = 12cm^2

3. P = 32cm; A = 63cm^2

4. P = 36cm; A = 80cm^2

5. P = 32cm; A = 60cm^2

6. P = 36cm; A = 81cm^2

7. P = 26cm: A = 30cm^2

8. P = 28cm; A = 49cm^2

9. P = 26cm: A = 42cm^2

Step-by-step explanation:

Formula to find perimeter for a rectangle:

length + width + length + width

l + w + l + w

Formula to find area for a rectangle:

length × width

l × w

1.

Perimeter (P): 5 + 2 + 5 + 2 = 14

Area (A): 5 × 2 = 10

2.

P: 6 + 2 + 6 + 2 = 24

A: 6 × 2 = 12

3.

P: 7 + 9 + 7 + 9 = 32

A: 7 × 9 = 63

4.

P: 10 + 8 + 10 + 8 = 36

A: 10 × 8 = 80

5.

P: 10 + 6 + 10 + 6 = 32

A: 10 × 6 = 60

6.

P: 9 + 9 + 9 + 9 = 36

A: 9 × 9 = 81

7.

P: 10 + 3 + 10 + 3 = 26

A: 10 × 3 = 30

8.

P: 7 + 7 + 7 + 7 = 28

A: 7 × 7 = 49

9.

P: 6 + 7 + 6 + 7 = 26

A: 6 × 7 = 42

Area will always have its units squared (cm^2) because the formula requires we multiply the numbers and therefore the units: cm × cm = cm^2

Answer:

66

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume the triangle is right angled

Answer:

x = 11.1

Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.

Answer:

It seems like distributive property

Step-by-step explanation:

2y+12

Distributive. 2y+12=2(y+6)

Answer:

Put the equation into the form ax 2 + bx = – c.

Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).

Using the value of b from this new equation, add. ...

Find the square root of both sides of the equation.

Solve the resulting equation.

Answer:

22/7

Step-by-step explanation:

Since pi = 3.141592654... and 22/7 = 3.1428571429

Answer:

Pie is 3.14 or is also known as 22/7

Answer:

C.

the number of cans of soda Amy orders

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Distribute

5x+45 = 3x+24+ 2x

Combine terms

45=5x-5x

45=0

This statement is not true so it is no solution

Answer:

Select All

Step-by-step explanation:

they all are correct

30x−9!!!!!!!!!!!!!!!!!

Answer:

y=−9x and y=−4

Step-by-step explanation:

Answer:

1 whole mile

Step-by-step explanation:

1/4 x 4

Answer:

1 1/4 miles  = 5/4 miles

Step-by-step explanation: