What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0

Answer:

-6 x -6

Step-by-step explanation:

2 negatives equal a positive

Answer:

Step-by-step explanation:

After 20 minutes, will all of them working together, they would have typed 13 letters. Then after another 20 minutes, it would be 26. Then 39. But after that is gets tricky. Mary types a letter every 3 minutes. Maggie types a letter every four minutes. and Su Ying types a letter every 10 minutes. After 6 minutes, the total would go to 42 letters. Then another 3 minutes it would be 44 letters. And finally, Su Ying finishes it. Taking a total of 70 minutes, or 1 hour and 10 minutes.

Mark Brainliest Please, And I'm Glad I Could Help. (If I Did) :) Have A Good Day!

Answer:

A. 19m

Step-by-step explanation:

3(6m) + m

Distribute:

18m + m

Add like terms:

19m

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

g

f

​  

)(x)=  

4−5x

3x+2  f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

​

Step-by-step explanation:

By looking where the functions intercept, we conclude that the correct option is x = -2.8.

Here we have:

To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.

The graph can be seen below:

There, we can see that we have intercepts at:

x = -2.8

x = 0.8

x = 2.9

From these, the only one that appears in the options is the first one, so that is the correct option.

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Answer:

15

Step-by-step explanation:

28 - 13 = 15

Answer:

6

Step-by-step explanation:

By definition,  the constant difference for a hyperbola is:

d = |PF1 - PF2|

where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2

Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:

PF1 = √[(-3 - 4)² + (0 - 0)²] = 7

PF2 = √[(3 - 4)² + (0 - 0)²] = 1

And the the constant difference is:

d = |7 - 1| = 6

Answer:

The second one.

Step-by-step explanation:

The area of the triangle has an area that is half the area of the rectangle.

A straight line divides the rectangle directly in half, creating two triangles, each triangle being half the area of the rectangle

Answer:

The triangle has an area that is half the area of the rectangle

Step-by-step explanation:

Answer:

Yellow

Step-by-step explanation:

As the ratios of all gum all’s in a comparison yellow has the most

Answer:

C

Step-by-step explanation:

If you do 5+1+2=8 then it has to be out of 8. The only option that is out of 8 is c, and if you have 5 blue then the probability is 5 blue/8 marbles in the bag.

The probability of that second marble is blue is 5/8.

Probability is "possibility that deals with occurrence of random events".

According to the question,

Number of blue marbles = 5

Number of pink marbles = 1

Number of red marbles = 2

Total number of marbles =  5 + 1 + 2 = 8

Formula for Probability P(E) = [tex]\frac{Number of favourable events }{Total number of events}[/tex]

Probability of getting that second marble is blue = 5/8.

Hence, the probability of that second marble is blue is 5/8.

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Answer:

Hi there!

The following answers:

3. 7 c > 3 (1/4) pt   4. 5 gal > 18 qt

5. 45 cm = 450 mm 6. 4.5 km < 5000 m

Step-by-step explanation:

There are 2 cups in one pint.

There are 4 quarts in one gallon.

One kilo meter is 1000 meters.

Answer:

1,330,122

Step-by-step explanation:

16789+1313333= 1,330,122

Answer: 20°

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Angle 1 = 55°

Angle 2 = 105°

The sum of the three interior angles of a triangle is always 180°.

So:

180 = 55+105 + x

Where x is the missing angle.

Solving for x:

180-55-105 =x

20°=x

Feel free to ask for more if needed or if you did not understand something.

Answer:

c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

Step-by-step explanation:

4x + 1/2(10x − 4) = 6

4x + 5x − 2 = 6  distirbuted 1/2 to 10x - 4

9x − 2 = 6 combinded like terms: x

9x = 8  addtion to the right side with 2

x = 8/9 divide by 9

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the equation:

[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]

4x + 5x -2 = 6  (Multiplication proeprty of equality or Distributive property)

9x - 2 = 6          (combine like term)

9x = 8               (addition property of equality)

x = 8/9               (division property of equality)

Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.

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Answer:

3^3 = 27

Step-by-step explanation:

How you right ANY log in Exponential form is like this:

Log_x Z = y

x^y = Z

So...

Log_3 27 = 3

3^3 = 27

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

We have,

To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.

This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.

Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:

f(0) = -8(0)² + 16(0) + 10

f(0) = 0 + 0 + 10

f(0) = 10

Now,

To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.

The maximum height of the acrobat occurs at the vertex of the quadratic function.

The x-coordinate of the vertex is given by:

x = -b / (2a)

Substituting the values, we have:

x = -16 / (2 * -8)

x = -16 / -16

x = 1

The time it takes to reach the maximum height is 1 second.

To find the maximum height, substitute the value of x back into the function:

f(1) = -8(1)² + 16(1) + 10

f(1) = -8 + 16 + 10

f(1) = 18

Therefore,

The trampoline is 10 units off the ground.

The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.

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Answer:

74 ft

Step-by-step explanation:

[tex]-4^{2}[/tex] + 19(4) + 14

-16 + 76 + 14

74

I hope this helps you

Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

Surface area = 2bs + b^2

b = base

s = slant height

Answer:

Surface area = 2bs + b^2

Step-by-step explanation:

Answer:

The answer is C, the coefficient.

Answer:

Depending on the shaded area, it will be less than 113 in², so not the last option

Step-by-step explanation:

Area of a circle is A= πr²

if it fits in 12 inch sides, 12 i the diameter and 6 is the radius

A= 3.14(6)²

A= 113 in²

Then, find what the shaded area is

Answer: a

Step-by-step explanation:

Answer:

show the diagram so l can help you to solve it

Answer:

its 148

Step-by-step explanation:

i just answered it, you're welcome.

Answer:

93 degrees

Step-by-step explanation:

Answer:

X=14

Step-by-step explanation:

Answer:

If the Angles are 125 + 150+ 65 then the missing angle is 20.

Step-by-step explanation:

All angles need to add up to 360 degrees.

Answer

y-1=5(x-2)

Step-by-step explanation:

1-(-4) =5

2-1=1

y/x = 5/1 =5

(2,1)

y-1=5(x-2)