What is the determinant of the coefficient matrix of the system?

[tex]2 {ab}^{2} + {8a}^{2} b[/tex]

[tex]2ab(b + 4a)[/tex]

to factorise first, find the highest common factor of each of the terms in the expression then, write the highest common factor (HCF) in front of any brackets atlast, fill in each term in the brackets by multiplying out.

The value of the expression after factorization will be;

⇒ 2ab (b + 4a)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2ab² + 8a²b

Now,

Factorize the expression as;

⇒ 2ab² + 8a²b

⇒ 2ab × b + 2×2×2a×a×b

⇒ 2ab (b + 4a)

Thus, The value of the expression after factorization will be;

⇒ 2ab (b + 4a)

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Answer:

....

Step-by-step explanation:

The total tickets sold is 10+15=25.

The percentage of tickets told by me will me 15/25=3/5 or 60%.

Similarly for the second one: total sold 9+16=25

my proportion 9/25=36%

i think the answer is this

Answer:

1st one is A. 2nd is D. 3rd is A. 4th is C. and the 5th one is B

Step-by-step explanation:

Answer: Below:

Step-by-step explanation:

Mean: (5+7+3+6+8+5+6+4+15)/9 = 6.55555 ≅6.56

Median: 6

Mode: 5, 6

Range: 12

Answer:

-18

Step-by-step explanation:

9x + 4y = -3 (Given)

Multiply both sides of the equation by 6, we find:

6(9x + 4y) = 6(-3)

-> 6(9x + 4y) = -18

Answer:

-18

Step-by-step explanation:

Given

We need to evaluate 6(9x + 4y).

Substitute the value of 9x + 4y in the expression.

Answer:

2x² + 7x + 3 = 0

Step-by-step explanation:

[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]

                    [tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]

[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]

                         [tex]= \dfrac{3}{2}[/tex]

Quadratic polynomial:

[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]

[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]

Multiply the entire equation by 2

[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]

2x² + 7x + 3 = 0

Answer:

4,239,505

Step-by-step explanation:

847,901 x 5 = 4,239,505

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone.  Since it is a cub it doesn't have a base, so we don't need to count it.  

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height.  and of course radius is d/2 where d is the diameter.  so let's plug it in.  We know diameter is 6 and slant height is 7.5

SA = pi * r * s

SA = pi * d/2 * s

SA = pi * 6/2 * 7.5

SA = 22.5 cm^2

So you will need 22.5 square centimeters of paper.

Answer:

$2.56

Step-by-step explanation:

12.80 ÷ 5 = 2.56

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

Answer:

Step-by-step explanation:

Remark

If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.

So the way to solve this problem is to multiply the entire area of the circle by (81/360)

Area of the sector = (81/360) * pi * r^2

pi = 3.14

r =8.91 cm

Area of the sector = (81/360) * 3.14 * 8.91^2

Area of the sector = 56.09

Rounded to the nearest tenth, the answer is 56.1

Answer: 56.1 cm^2

Answer:

D

Step-by-step explanation:

If you are solving for something like this, set the given full integer equal to x times the percent given

The probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

The surveys are chosen with replacement (the first one is replaced before the second is chosen), and the events are independent.  

This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60 since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60 since there are 9 surveys with 1 child out of a total of 60.

Together this gives us;

[tex]= \dfrac{8}{60} \times \dfrac{9}{60}\\\\ =\dfrac{ 72}{360} \\\\ =\dfrac{1}{5}[/tex]

Hence, the probability that the first survey chosen indicates four children in the family, and the second survey indicates one child in the family is 1/5.

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Answer:

1/50

Step-by-step explanation:

The actual price is 13.6% lower than the expected price.

CPI or Consumer Price Index is a measure of determining retail inflation in an economy, based on price variations in a fixed basket of goods and services, over overtime periods.

Let's suppose the expected price is x.

The percent relation of the actual price of a winter hat to the expected price is given by;

CPI = ( expected price ) : ( price in 1983 ) × 100

219  =  ( x  : 12.95 ) × 100

Divide both sides by 100.

x : 12.95 = 2.19

x =2.19 × 12.95

x = $28.36 ( expected price )

p = ( 24.50 × 100 ) / 28.36

p= 2450/28.36

p = 86.4 %

100 % - 86.4 % = 13.6 %

Hence, the actual price is 13.6% lower than the expected price.

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Answer:

C. addition property

Step-by-step explanation:

they wouldve had to add 36 to both sides of the equation, so addition

Answer:

Step-by-step explanation:

Let the length be L

Formula

SA = 2Lw + 2Lh + 2wh

Givens

h = 15 cm

w = 6 cm

L = ?

SA = 684 cm^2

Solution

Substitue what you know into the given formula

2*6*L + 2*15*L + 2 * 6 * 15 = 684         Combine

12*L + 30*L + 180 = 684                         Combine again

42L + 180 = 684                                     Subtract 180 from both sides.

42L +180 -180 = 684 - 180            

42L = 504                                               Divide by 42

Answer: L = 12

Answer:

As Per Provided Information

Diameter of Garden 12 yards

Radius of Garden will be 12/2

Radius of Garden will be 6 cm

We have been asked to find the area of the circular garden .

Formula Used here

[tex] \underline{\boxed {\bf \: Area_{(Garden)} \: = \pi {r}^{2}}} [/tex]

Just put the value and let's calculate the area of circular garden .

[tex] \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times {6}^{2} \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 3.14 \times 36 \\ \\ \\ \qquad \longrightarrow\sf \: Area_{(Garden)} \: = 113.04 \: {yard}^{2} [/tex]

Therefore,

Step-by-step explanation:

Given :-

We have to find the area of garden

Area of Circle = πr²

Putting the known values ,

Area = 3.14 × 6² yd²

Area = 113.04 yd²

Answer:

Step-by-step explanation:

sine and cosecant : positive in Q1 and Q2

cosin and secant:   positive in Q1 and Q4

tangent and cotangent:  positive in Q1 and Q3.

Answer:

Quadrant I

Step-by-step explanation:

In the first quadrant all the 6 functions are positives.

Think instead of (x, y) any point has now the coordinate (cos α, sin α) so in quadrant I we have x, y positive therefore sin α and cos α are positive.

Tangent α is positive because is sinα/cosα = positive /positive = a positive

Cotangent α= 1/tan α = cosα / sinα = positive /positive = a positive

Secant α = 1/cos α = 1/ a positive number = a positive number

Cosecant α = 1/sin α = 1/ a positive number = a positive number

Answer:

No 3.

[tex]165 \: \times \frac{103}{100} [/tex]

No 5.

[tex]15 \: \times \frac{100 + 17}{100} [/tex]

its been a long time

do you mind mark me as the brainliest

Answer:

3. 169.95

How:

165x1.03 =  169.95

Answer:

A

Step-by-step explanation:

The expression that is equivalent to the given statement was reduced.

The given expression is:

[tex]\frac{(3m^{-2}n)^{-3} }{6mn^{-2} }[/tex]

Some important power rules are:

[tex](ab)^n=a^nb^n[/tex]

[tex](a^{m} )^n=a^{mn}[/tex]

[tex]a^m.a^n=a^{m+n}[/tex]

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]a^{-m} =\frac{1}{a^m}[/tex]

So, the given expression can be written as:

[tex]\frac{3^{-3} m^{6} n^{-3} }{6mn^{-2} }[/tex]

=[tex](\frac{3^{-3} }{6} )*(\frac{m^{6} }{m} )*(\frac{n^{-3} }{n^{-2} } )[/tex]

=[tex](\frac{1}{3^{3} *6} )*m^{5} *(\frac{1}{n^{3} *n^{-2} } )[/tex]

=[tex]\frac{m^5}{162n}[/tex]

Hence, the expression that is equivalent to the given statement was reduced.

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Answer: All real numbers greater than or equal to -5

Step-by-step explanation:

The vertex has a y coordinate of -5, and all the other outputs are more than -5.

Answer:

Step-by-step explanation:

∠BCD=∠DEF=38°(alternate angles)

∠FDE=90-38=52°

Δ BCD≅ΔFED

[tex]\frac{CD}{sin~90} =\frac{10}{sin~38} \\CD=\frac{10}{sin~38} \\\frac{DE}{sin ~90} =\frac{17}{sin ~52} \\DE=\frac{17}{sin~52} \\CE=CD+DE=\frac{10}{sin~38} +\frac{17}{sin~52} \\=?[/tex]

Given that the solids are similar, we have:

1. 5/3

2. 4/25

3. 512/13,824

If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:

Surface area for A/Surface area for B = a²/b².

Volume for A/Volume for B = a³/b³.

1. If the two pyramids are similar, therefore:

Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)

Ratio of the height of larger to the smaller pyramid = 5/3

2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)

=  ∛(8/125) = 2/5

Ratio of their surface area = 2²/5²

Ratio of their surface area = 4/25.

3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³

= 512/13,824

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Answer:

If I understood what you mean properly... 0

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The correct answer is B, because B. is a compression of 6 and x, with 6 added in just like they said in the question.

Answer:

2 factors

Step-by-step explanation: