can someone help me figure out number 3? message me for the word bank

Answer:

9x^3/y^3

Step-by-step explanation:

Hope this helps!

When Omar does not have a common factor while factoring a polynomial, he should consider regrouping terms, factoring out a common factor, or adjusting signs to simplify the expression. The absence of a common factor does not necessarily mean the polynomial is prime.

If Omar noticed that he does not have a common factor when factoring a polynomial, there are a few possible next steps to consider. It is important to note that the absence of a common factor does not necessarily mean that the polynomial is prime.

One option for Omar is to go back and regroup the terms in step 1, as (3x³ – 15x²) – (4x + 20). By rearranging the terms, he may be able to identify a common factor or a different factorization approach.

Another possibility is for Omar to factor out a common factor from the first expression in step 2. He can examine the terms in the expression and determine if there is a factor that can be pulled out.

It is also worth considering whether Omar needs to factor out a negative from one of the groups so that the binomials become the same. This step can help simplify the expression and make the factoring process easier.

Overall, Omar should explore different factorization strategies, regroup terms if necessary, and look for common factors or patterns to continue factoring the polynomial. The absence of a common factor does not necessarily imply that the polynomial is prime.

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The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

1/40

Step-by-step explanation:

1000 meters = 1 kilometer

replace 1 km with 1000m

25m/1000m

simplify by dividing 25.

= 1/(1000/25)

= 1/40

Answer:

-10 feet below the surface of the water

Step-by-step explanation:

We are told that the dive rings position at the bottom of the pool is 10 feet below the surface of the water.

Now, an integer is basically a whole number that can either be be zero, positive or negative.

In this case, it's below the surface which means it's below zero.

Thus, it's negative.

So the integer is -10 feet below the water surface.

Answer:

S = (5m+79)

Step-by-step explanation:

It is given that,

Scores won by home team = (2m + 39) points

Score won by visiting team = (3m + 40) points

We need to find the sum to represent the total points scored by the two teams m minutes past halftime.

It can be calculated by the sum of score by two teams. Let the sum is S.

S = (2m + 39) + (3m + 40)

S = 5m + 79

Hence, sum to represent the total points scored by the two teams m minutes past halftime is (5m+79)

Answer:

-6,-1

-6,2

-3,2

-3,-1

Step-by-step explanation:

imagine the coordinates on a graph

moving right adds

moving left subtracts

moving down subtracts

moving up adds

Answer and Step-by-step explanation:

The Domain of the function is: [-infinity, +infinity]

The Range of the function is: [-1, + Infinity]

X - intercepts - (0,0), (I think it is 5,0)

Y - Intercept - (0,0)

Answer:

the expression is not factorable with rational numbers

Answer:

30

Step-by-step explanation:

5 sides Pentagon=540

3x+4x+4x+4x+3x=540

18x=540

x=540/18

x=30

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given that YO = NZ.

Consider YO = NZ

Now Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

M ≅ X

N ≅ Y

YO ≅ NZ

Δ MNO ≅ ΔXYZ by AAS postulate.

Therefore, the triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

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No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.

The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.

The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.

Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.

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Answer: 4.278695 × 10^7

Step-by-step explanation:

Answer: 4.2786950x10^7 or 4.2x10^7

Step-by-step explanation:

To convert a number to scientific notation, move the decimal.

42,786,950

At the and of this number, there is an understood decimal. To find the scientific notation version of it, move the decimal over to the left until you have only one digit to the left of the decimal, as such...

4.2786950

To then find what the exponent you're multiplying by, you count how many places you moved the decimal.

So in the end, you get 4.2786950x10^7

Answer:

X=6 and y=-7

Step-by-step explanation:

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Step-by-step explanation:

Yessss

Answer:

yes

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

35/70 simplifies to 1/2 = 50%

Sure! Here's an explanation in the RACE format to help construction workers calculate the height of the final building:

To calculate the height of the final building, construction workers can utilize the information provided and follow a systematic approach. Firstly, they need to determine the scale being used in the plans or drawings of the building. The scale indicates the ratio between the measurements on the drawing and the actual measurements of the building.

By measuring a known distance on the drawing, such as the length of a wall, and comparing it to the corresponding distance on the actual site, workers can determine the scale factor. Next, using this scale factor, they can measure the height of a known element, such as a door or window, on the drawing. and multiplying those measurements by the scale factor, workers can calculate an approximation of the height of the final building.

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Answer:

13x - 2

Step-by-step explanation:

Use the distributive property to eliminate the parentheses.  1(7x - 10) -1(-6x - 8) so using the distributive property 7x - 10 + 6x + 8.  Next, combine the like terms.  13x - 2

Answer:

48.75

Step-by-step explanation:

All you haft to do really is 3.25 x 15 and you get 48.75, Because she spent 3.25 on each balloon and she has 15 friends. So 15 friends multiplied by 3.25 gets you 48.75 she spent total.

Answer:

48.75

Step-by-step explanation:

it is an easy multiplication problem 3.25 by 15 and then u would get up answer

Answer:

Step-by-step explanation:

This is a linear equation, y= mx + b, where y is the amount of money he has to spend, the value of b is 275 (the cost of the system), and 39x represents the cost of each game is x number of games is bought. We fill in and solve for x:

400 = 39x + 275 and

125 = 39x so

x = 3.2

Since he can't buy 3.2 games, the max number of games he can buy is 3.

The average Jeremy can create 24 different outfits for school by combining 1 pair of pants, 1 shirt, 1 tie, and 1 jacket.

Jeremy can mix and match his items to create different outfits for school. Since he owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets, he can create 24 different outfit combinations. For each outfit, he must wear 1 pair of pants, 1 shirt, 1 tie, and 1 jacket. He can mix and match any of the items he owns to create a variety of looks. For example, he could wear a blue shirt, grey pants, and a striped tie with a black jacket. Or, he could wear a white shirt, black pants, a polka-dotted tie, and a brown jacket. By combining his items in different ways, he can create 24 different outfits for school.

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The requreid total decrease in Quect Company's stock was 8 6/25 points.

To find the total decrease in Quect Company's stock, we need to add the decrease by Wednesday to the decrease by Friday.

The decrease by Wednesday was 4 11/50 points. We can write this as a mixed number:

4 11/50 = 4 + 11/50

The decrease by Friday was 4 1/50 points, which can also be written as:

4 1/50 = 4 + 1/50

Adding these two values together, we get:

(4 + 11/50) + (4 + 1/50) = 8 + 12/50 = 8 + 6/25

Therefore, the total decrease in Quect Company's stock was 8 6/25 points.

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Answer:

we know that sum of angle a and b is 180

so a+b= 180

a= 34 (given)

b= 180-34

b= 146 degrees

Answer:

146 degrees

Step-by-step explanation:

Why?

Angle A and B together = 180 because they make up that one line and a line = 180 degrees and it says that angle A =34 so...

180 - 34 =  (B)

146 = (B)

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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The simplified proposition, which is not exactly p, but rather:

p + v - w

To simplify the given proposition (pvw)A(pv-w) to p, we will apply the Distributive law:

(pvw)A(pv-w) = (pvw)A(pv) - (pvw)A(w)

Now, apply the Distributive law again to both terms:

= (pA(pv) + vA(pv) + wA(pv)) - (pA(w) + vA(w) + wA(w))

Now, apply the Commutative law and simplify each term:

= (pAp + pAv + pv + vp + vAv + vw + wp + wv + wAw) - (pw + vw + ww)

Notice that pAp = p, vAv = v, and wAw = w due to the Identity law.

Also, ww = w due to the Idempotent law.

So, we have:

= (p + pv + pv + vp + v + vw + wp + wv + w) - (pw + vw + w)

Now, apply the Commutative law again and cancel out similar terms:

= p + pv + vp + v + vw + wp + wv - pw - vw - w

The terms pv, vp, vw, wp, wv, pw, and vw cancel each other out:

= p + v - w

Finally, we reach the simplified proposition, which is not exactly p, but rather:

p + v - w

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