Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4

The solution is ____ ​(Type an exact answer in simplified​ form.)

Answer:

Step-by-step explanation:

We need to find the coordinates of the vertex of the parabola.

[tex]f(x)=ax^2+bx+c\\\\v(p,\ q)-\text{vertex}\\\\p=\dfrac{-b}{2a};\ q=f(p)[/tex]

We have

[tex]h(t)=24+4t-5t^2=-5t^2+4t+24\\\\a=-5,\ b=4;\ c=24\\\\p=\dfrac{-4}{2(-5)}=\dfrac{-2}{-5}=\dfrac{2}{5}=0.4\\\\q=h(0.4)=-5(0.4)^2+4(0.4)+24=-5(0.16)+1.6+24\\\\=-0.8+25.6=24.8[/tex]

Explanation:

What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:

[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]

This means that Neptune is 77.76 times farther from the sun than Mercury is.

Answer:

12x²+14x+4

Step-by-step explanation:

(3x+2)(4x+2)

you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket

do the same with the 2nd term of the first bracket, you will get the following

12x²+6x+8x+4

12x²+14x+4

Answer:

13.5%×50000=6750

this is interest paid on loan 6750

50000+6750=56750

The total amount paid

Answer:

Step-by-step explanation:

27x3=81

Answer:

It's 3 hope it's help....

Answer:

0.014

Step-by-step explanation:

Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation

Answer:

Knewton as of May 15, 2022 8.70%

Step-by-step explanation:

Using the t-distribution, it is found that the p-value is of 0.177.

At the null hypothesis, it is tested that for a smartphone carrier's data speeds at airports, the mean is 19 Mbps, that is:

[tex]H_0: \mu = 19[/tex]

At the alternative hypothesis, it is tested if the mean is different than 19 Mbps, that is:

[tex]H_1: \mu \neq 19[/tex]

Inputting this information into a calculator, the p-value is of 0.177.

A similar problem is given at https://brainly.com/question/13873630

Answer:

linear

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

Answer:

10

Step-by-step explanation:

just guessed

Answer:

The larger number is 67 and the smaller number is 13

Step-by-step explanation:

y=5x+2

x+y=80

-5x+y=2

6x=78

x=13

y=65+2

y=67

Answer:

infinitely many solutions

Step-by-step explanation:

Answer:

21 is the answer

Step-by-step explanation:

Given:

Let's use the given clue to solve the problem.

15 - 3x = Solution

=> 15 - 3(-2) = Solution

=> 15 + 6 = Solution

=> 21 = Solution

After working on this problem, we can conclude that 21 is our answer.

- [tex]GenuisUser[/tex] -

Answer:

21

Step-by-step explanation:

So, when given a question like this, we must plug in the number give for "x" in the equation.

[tex]15-3x = 15-3(-2)[/tex]

Now, we can simplify using PEMDAS

[tex]15+6 = 21[/tex]

Dont forget that a negative times a negative equals a positive!

The answer is 26 trust me I will be ur friend

Answer:

yes 25 :)

I'm sorry if I'm wrong

Answer:

4.6

Step-by-step explanation:

28.888 / 3.14 = 9.2

9.2 / 2 = 4.6

Answer:

A: -5/4 ; B: -0.5 ; C: 2

Step-by-step explanation:

Its the number line which shows.

Answer:

B = -0.5

A= -5/4

C= 2

Brainlest

Step-by-step explanation:

Answer:

u < 12

Step-by-step explanation:

20 > u + 8 ( subtract 8 from both sides )

12 > u , then

u < 12

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!

We can solve this equation in one step, which is Algebra, I'll start solving the problem now.

Algebra

We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.

[tex]20>u+8\\12>u[/tex]

As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.

We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.

We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:

[tex]20>11+8?\\20>19[/tex]

We've proven that its correct.

So our final answer is [tex]u<12[/tex].

Cheers!

Answer:

Square because the area of a square is length times width.

The formula matches with square.

A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids

As,

First, Area of circle  = πr²

Hence, it is not possible.

Second, square

Area of square = l * b = LW

Similarly for trapezium

Area= 1/2( a+ b)* h

Hence, the formula matches with square figure.

Learn more about geometry here:

https://brainly.com/question/12168921

#SPJ2

A system of equations is simply a system that contains related equations of multiply variables

It took 5 seconds for the adults to go 20 yards and catch up to the kids

Let x represents the time of the race

The kids started 15 yards ahead, and they raced at 1 yard per second.

So, the kids' equation is represented as: [tex]\mathbf{k =15 + x}[/tex]

The adults' raced at 4 yards per second.

So, the adults' equation is represented as: [tex]\mathbf{a =4x }[/tex]

When they are side by side, we have the following equivalent equation

[tex]\mathbf{4x = 15 + x}[/tex]

Subtract x from both sides

[tex]\mathbf{3x = 15}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 5}[/tex]

It means that, it took the adults 5 seconds to catch up with the kids

Substitute 5 for x in any of the equations to calculate the distance travelled.

[tex]\mathbf{a =4 \times 5}[/tex]

[tex]\mathbf{a =20}[/tex]

It means that, the adults catch up with the kids at 20 yards

Read more about systems of equations at:

https://brainly.com/question/12895249

Answer:

The adults went 123 yards and caught up to the kids in 41 seconds

Step-by-step explanation:

ixl :)

Answer:

hmmmm can you show your grapg

Step-by-step explanation:

Find the slope? or what....

Using the exponential distribution, it is found that there is a:

a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:  

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = e^{-\mu x}[/tex]

In this problem, the mean is of 3.4 days, hence, the decay parameter is:

[tex]\mu = \frac{1}{3.4}[/tex]

Item a:

[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]

0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

Item b:

[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]

[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]

[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]

0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

Item c:

[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]

0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

A similar problem is given at https://brainly.com/question/17039711

Answer:Jose will make 901.31 more

Step-by-step explana

Answer:

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Answer:

golfing is fun but not to fun

Step-by-step explanation: