Factor the expression below. 12x3−18

Answer:

-12; 5

Step-by-step explanation:

x^2 + 7x - 60 = 0

D = b^2 - 4ac

D = 7 * 7 + 60 * 4 * 1 = 289

sqrt(D) = sqrt(289) = 17

x₁ = (-b - √D) / 2a = (-7 - 17) / 2 = -24 / 2 = -12

x₂ = (-b + √D) / 2a = (-7 + 17) / 2 = 10 / 2 = 5

Answer:

6

Step-by-step explanation:

as we know the distance formulae root under x2 minus x1 whole square + y2 minus y1 whole square

The product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the two given polynomial (2x+y) and (5x-y+3), can be written as,

[tex](2x+y) (5x-y+3)\\\\= 10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-2xy+5xy+6x-y^2+3y\\\\=10x^2+3xy+6x-y^2+3y[/tex]

Hence, the product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Learn more about Polynomial:

https://brainly.com/question/17822016

Answer:

10, 3, 6, -1, 3

Step-by-step explanation:

Answer:

7 & 5

Step-by-step explanation:

7+5=12
7-5=2
5-7=-2

Answer:

5 and 7

Step-by-step explanation:

5 + 7 = 12

5 - 7 = -2

Answer:

3/4

Step-by-step explanation:

ok so im really bad at explaining but ill try my best.

so since its asking you to fiure out how much he watched in total, youre going to have to add.

for one of the videos he watched 5/8 mins and for the other 1/8 mins.

5/8 + 1/8= 6/8

and since its asking for its simplest form youre gong to have to simplify it

6/8=3/4

i hoped this helped :)

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

Answer:

the cost price of manufacturer = RS. 14.80

Step-by-step explanation:

the retailers profit = profit percent of sold amount

= 25% of 30.09

= 25/100 × 30.09

= 7.5225

here, the cost price of retailer =

sold amount- profit amount

or, CP = 30.09 - 7.5225

= 22.5675

now, profit of whole seller =

profit% of sold amount

or, 20% of SP

20/100 × 22.5675

= 4.5135

CP = SP - Profit

or, CP = 22.5675- 4.5135

CP = 18.054

now, profit of manufacturer = profit℅ of SP

= 18% of 18.054

= 18/100 × 18.054

= 3.24972

or, CP of manufacturer = SP - profit amount

= 18.054 - 3.24974

= 14.80428

Therefore, cost price of manufacturer = 14.80

Answer:

the answer is 2.83 miles per hour

Answer:

[tex]D.\:\left(x-3\right)\left(x+6\right)[/tex]

Step-by-step explanation:

[tex]x^2 + 3x - 18[/tex]

[tex]\left(x^2-3x\right)+\left(6x-18\right)[/tex]

[tex]\left(x^2-3x\right):x\left(x-3\right)[/tex]

[tex]\left(6x-18\right):6\left(x-3\right)[/tex]

[tex]x\left(x-3\right)+6\left(x-3\right)[/tex]

Factor, common term:- x-3

[tex]\left(x-3\right)\left(x+6\right)[/tex]

~

Answer:

i guess you need to refer the volume column...

Step-by-step explanation:

Hope it helps!!!

Answer:

the first 3 options

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

13[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{2}[/tex] < x < 13[tex]\sqrt{2}[/tex] + 5[tex]\sqrt{2}[/tex]

8[tex]\sqrt{2}[/tex] < x < 20[tex]\sqrt{2}[/tex] ( converting to decimal )

11.3 < x < 28.3

3 possible lengths for XZ are then values

11.5 cm , 13 cm , 18.5 cm

the other options are out with the range

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

p = 8 + 16

p = 24

Answer:

994

Step-by-step explanation:

First, let's translate the statement into a mathematical expression.

Now, we can evaluate the expression when t = 2.

Answer:

994

Step-by-step explanation:

(8+2)=10

(10) to the power of 3=1000

100-6=994

Answer:

81.5+2.6=84.1

understand: we have to add the weight lost to her current weight to find the original weight.

plan: first we take 81.5 and add the weight lost to it 2.6

solution: 81.5+2.6=84.1

check: 84.1-2.6=81.5

:]

Answer:

3 pairs for $71 makes each pair about $23.67.

8 pairs would be around $189.36.

(I rounded to the nearest hundredth since the problem is about money and rounding to the second decimal place is standard.)

Answer:

here is your answer

944 sq.in.

hope u understand

mark as brilliant and follow pls

Answer:

C

Step-by-step explanation:

When solving these problems with right triangles you gotta always equal 180 35 plus 90 plus 55 will equal 180

Answer:

Step-by-step explanation:

∠B+∠A=90

∠B+35=90

    -35   -35

∠B = 55

~

Answer:

12%

Step-by-step explanation:

Read a book = 16%

Listen to music = 28%

We can read the question in different ways:

1.  The simple difference between the two is 12%

2.  Out of the sample, the two groups include:

    15 chose books

    35 chose music

    Within this sample of 50 teenagers,

           (15/50) or 30% chose books, and

            (35/50) or 70% chose music

             That makes a difference of 40%

I would chose the first interpretation, 12%  [Especially since 40% is not an option.]

Answer:

It is surely 16mm2, because a cube is always two-dimensional.

Step-by-step explanation:

This means that it has to be a value with mm2!

Hope I helped!

Answer:

calculate the value of × if :

72:64=×:16

Compare both pairs

[tex]\\ \rm{:}\dashrightarrow 8q-2=6[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=6+2[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=8[/tex]

[tex]\\ \rm{:}\dashrightarrow q=\dfrac{8}{8}[/tex]

[tex]\\ \rm{:}\dashrightarrow q=1[/tex]

And

[tex]\\ \rm{:}\dashrightarrow 2-7p=p+6[/tex]

[tex]\\ \rm{:}\dashrightarrow 2-6=8p[/tex]

[tex]\\ \rm{:}\dashrightarrow p=-1/2[/tex]

Similar triangles may or may not have congruent sides lengths

From the properties of similar triangles, the side lengths of similar triangles may or may not be congruent, but the side lengths are always proportional.

Take for instance, an equilateral triangle has a dimension of 2cm by 2cm by 2cm

The similar triangles could have the following dimensions:

This is so because the triangles are proportional to the equilateral triangle

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

x = 0, y = - 100

Step-by-step explanation:

So plug in the points you have which is x = 0.

50(0) + y = -100

0 + y = -100

y = -100

So, x = 0, y = - 100

Answer:

The first statement is correct(15+(-7)+4+8)=20

Answer:

-2 ≥ y

Step-by-step explanation:

-5y-8≤2

   +8 +8

—————-

-5y≤10

——-—-

-5     -5

————-

y ≤ -2

change sign

-2 ≥ y

Answer:

i'm going to say 12 if i'm wrong i'm sorry

Step-by-step explanation:

Hey there!

2/3x + 5 = 1

SUBTRACT 5 to BOTH SIDES

2/3x + 5 - 5 = 1 - 5

SIMPLIFY IT!
2/3x = 1 - 5

2/3x = -4

MULTIPLY 3/2 to BOTH SIDES

2/3x * 3/2 = -4 * 3/2

SIMPLIFY IT!

x = -4 * 3/2

x = -6

Therefore, your answer is: x = -6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

2/3x + 5=1

To solve for x, we must isolate it by administering inverse operations.

In this equation, we can see 2/3x is being added to 5.

We should discard the constants first.

The inverse operation of addition, is subtraction.

So we subtract 5 from both sides;

-5        -5

2/3x = -4

Now, we are left with a coefficient, so to get rid of the coefficient we utilize the inverse operation of multiplication, which is division.

Dividing by 2/3 is the same as multiplying by 3/2.

So multiply both sides by 3/2;

*3/2    *3/2

x = -4(3)/2

x = -12/2

x = -6

Answer: 17 degrees

Step-by-step explanation: