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What is (4x2-9X+1) -(5x2-x-7) written in standard form?

Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

The answer is 3x^3+15x^2-12x.

Answer:

-3 and 17

Step-by-step explanation:

Let the number be = x

x - 7 = -10

x = -10 + 7

x = -3

OR

7 - x = -10

- x = -10 - 7

- x = -17

x = -17/-1

x = 17

The two possible numbers are -3 and 17

Answer: 8p+20q-40

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]9p - p + 8q - 40 + 12q[/tex]

Collect like terms and simplify

[tex]9p - p + 8q + 12q - 40 \\ 8p + 20q - 40[/tex]

Answer:

The answer is C

Step-by-step explanation:

2:1 means first triangle is double the size of the scale model

Answer:

12

Step-by-step explanation:

Answer: 10

Step-by-step explanation: Each side if the smaller shape is  multiplied by 1.5 to get the dimensions of the larger shape. To find the value of x, you divide 12 by 1.5. Then you add 2 to that answer to get the value of x.  [tex]12/1.5 = 8 + 2 = 10[/tex]

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

43.9°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

From the question

Adjacent = Distance of the boat from the dock = 18 feet

Hypotenuse = Length of the rope = 25 feet

The angle formed by the rope and the surface of the water = x

Hence:

cos x = 18/25

x = arc cos (18/25)

x = 43.945519562°

Approximately θ = 43.9°

The angle formed by the rope and the surface of the water is given as 43.9°

Answer:

i think its c 6-6 so good luck

Answer:

∠ 1 = 110°, ∠ 2 = 70°

Step-by-step explanation:

∠ 1 and 110° are vertical angles and are congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°

∠ 1 + ∠ 2 = 180°

110° + ∠ 2 = 180° ( subtract 110° from both sides )

∠ 2 = 70°

Answer:

lower bound is 299.5, upper bound is 300.5

Step-by-step explanation:

Answer:

5.09

There will be a dash over .09

Step-by-step explanation:

Answer: 1.09090909091

Step-by-step explanation: I hope it helps

Answer:

Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.

Step-by-step explanation:

sample answer

Answer:

11/20

Step-by-step explanation:

[tex]55\% = \frac{55}{100} = \frac{11}{20} [/tex]

Answer:

2 gallons

Step-by-step explanation:

25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.

Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.

Given that, 4 gallons of hand sanitizer that contains 25% alcohol.

25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.

Then,  that hand sanitizer that contains 50% alcohol.

Learn more about the percentage here:

https://brainly.com/question/19247356

Answer:

5 units to the right!

It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.

Answer:

3

Step-by-step explanation:

Given that:

Integers : x, x + 1, x + 2

6x - 2(x + 1) = (x+2) + 5

6x - 2x - 2 = x + 2 + 5

4x - 2 = x + 7

4x - x = 7 + 2

3x = 9

x = 9/3

x = 3

First integer = x = 3

2nd integer = x + 1 = 3+1 = 4

3rd Integer = x + 1 + 1 = 3 + 2 = 5

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex]  (The whole divided by 4 because the total people is 4)

57*4   =  x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]

228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]

228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]

193 -3x = [tex]\frac{x+20}{2}[/tex]

2(193 - 3x) = x + 20

386 - 6x = x + 20

386 - 20 = x + 6x

366 = 7x

x = [tex]\frac{366}{7}[/tex]

x = 52.3 kg (corrected to 3 significant figures)

Therefore Arlo's weight is 52.3 kg

Answer:

1.64

Step-by-step explanation:

8.20 / 5 = 1.64

Answer:

5

Step-by-step explanation:

x values are equal, so 9-4 = 5

Answer:

-4.1a

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5.2a - (4.5a + 4.8a)

Step 2: Simplify

Answer:

n-2=10

n=10+2

n=12

please thnx my answer

Answer:

12

Step-by-step explanation:

n - 2 = 10

(add 2 to the other side (Addition property of equality))

10 = n

Answer:

Step-by-step explanation:

just times everything 3.5  as 42/12=3.5

490g margarine

420g sugar

350ml syrup

840g oats

175g raisins

Answer:

m<1 = 97

m<2 = 83

m<3 = 112

m<4 = 68

m<5 = 112

m<6 = 68

m<7 = 97

m<8 = 83

m<9 = 97

m<10 = 83

m<11 = 112

m<12 = 68

m<13 = 112

m<14 = 68

m<15 = 97

m<16 =  83

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mary spends 8*6=48 dollars

Pete spends 9*12=108

Mary got a better deal per cupcake

Answer:

They spent the same amount per cupcake ($1.33)

Step-by-step explanation:

To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).

Answer:b

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Cross multiply.

7 x 4 = 28.

X x 2 = 2x

2x = 28

x = 14

Answer:

$2=1

Step-by-step explanation:

6 =$3