Is the relation below a function? Use the vertical-line test.
{(−6, 3), (−1, 0), (2, 4), (−1, −7), (5, 2)}

A. yes
B. no

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

===============================================================

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

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Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

--------------------------------------

To recap, we found equation (4) and equation (5) to be

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

-------------------------------

Checking the answer:

We'll replace x,y,z with the values we found.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

Answer:

24

Step-by-step explanation:

RSM

Answer:

The answer is 3.

Step-by-step explanation:

The company allows an extra 5mL but there is no specified amount for less. if there was it would be ±5mL

Answer:

0.4

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation: Khan

Answer:

A' ( 2,3)

B' ( 5,5)

C ( 7,3)

D'(5,2)

Answer:

x<24

Step-by-step explanation:

[tex]w + 6 \geqslant 24[/tex]

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96.  If i round this up, it is 36.

Answer:

It would be 91 days

Step-by-step explanation:

Hope this helps :)

a = 45   b = 35.8   c = 57.503

Answer: see what you gotta do is/right/left/up/turn left/ down/up/down/down/ right up/ 2nd row turn left/ then do it all over again in you got it

Step-by-step explanation:

/right/left/up/turn left/ down/up/down/down/ right up/ ALSO CAN I BRAINLIEST IF I HELPED.

Answer:

117 - 120 < -3

-3 < -3

False no

because it is not above -3

Step-by-step explanation:

Answer: No

Step-by-step explanation:

x = 9

y = 6

13x - 20y < -3?

Substitute the values of x and y

13(9) - 20(6) < - 3?

117 - 120 < -3?

-3 </ -3

-3 = -3

(9, 6) is not a solution

Answer:

4

Step-by-step explanation:

The value of the hypotenuse x will be equal to √6.

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.

The study of correlations between triangles' side lengths and angles is known as trigonometry.

Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,

cosθ = Base / Hypotenuse

cos45 = √3 / x

x = √3 / ( 1 / √2)

x = √6

Therefore, the value of the hypotenuse x will be equal to √6.

To know more about trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Answer:

The first step is to distribute.

Step-by-step explanation:

2(4x + 2)= 12

8x + 4 = 12

You distribute the 2 to 4x and 2.

9514 1404 393

Answer:

  25.5 years

Step-by-step explanation:

The multiplier for continuous compounding at annual rate r for t years is ...

  e^(rt)

You want the value of t when that is 3 and r=0.043.

  3 = e^(0.043t)

  ln(3) = 0.043t

  t = ln(3)/0.043 ≈ 25.549 . . . . years

Answer:

It's (7x+2)(3x−2)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

i think it's 14. i hope i helped :)

Answer:

11 miles

Step-by-step explanation:

if she can jog 5.5 miles in 1 hour, than in 2, she can jog 11 miles, because 5.5(miles) x 2 (hours) = 11

hope this helps :)

a brainliest would be appreciated

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

Answer:

2. 254.469

4. 962.11275

Plug the diameter into the equation:

A = (3.14)r^2

r being the radius

Answer:

2.) 56.52 inches or 56.55

4.) 109.9 km or 109.96

Step-by-step explanation:

diameter x pi = circumference

Answer:

2 1/3 / (-3 2/3) = -0.636363636  AKA 0.636

Step-by-step explanation:

Step-by-step explanation:

[tex]2 \frac{1}{3} \div ( - 3 \frac{2}{3} )[/tex]

[tex] \frac{7}{3} \div ( - \frac{11}{3} )[/tex]

[tex] \frac{7}{3} \times ( - \frac{3}{11} )[/tex]

=

[tex] - \frac{7}{11} [/tex]

Answer:

3.75

Step-by-step explanation:

i did the lesson its correct :)

Answer:

Regular Price: 100%

                       $3.75

Sale price:    40%

                   $1.50

Discount:

60%

$2.25

Which equation can be used to find the regular price, r, of a taco?

1.5 = 0.4r

Step-by-step explanation:

Read the answers correctly, or you might be typing in the wrong answer.

Everything is all correct, Thank me later :)

Answer:

$42 [$7/person*6 people]+$6[$3 launch fee/raft*2 rafts]

Step-by-step explanation:

$48 total

PLEASE MARK BRAINLIEST

NEED IT FOR A NEW RANK

ty in advance:D

Answer:

.34

Step-by-step explanation:

Khan

The required value of probability P(130< x < 150) is 0.34.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
From the quesiton put value in z score formula,
z = 130 - 150 / 20
z = -1

P (z < - 1) = P(x<130) = 0.15866

P (x > 130) = 0.84134
Now,
P(130< x < 150) = 0.5 - P(x<130)
P(130< x < 150) = 0.5 - 0.15866 = 0.34134

Thus, the required value of  P(130< x < 150) is 0.34.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ5

Answer:

Answer of first one is. = angle 3

answer of second one is = angle 4

answer of third one is = angle 2

angle of fourth one is = 5

and last.one is angle 1

Answer:

135

Step-by-step explanation:

That's the answer.........

Answer:

Put

[tex]x < - 2 - 2y[/tex]

Then put some of value to y and get x then we can graph it

Step-by-step explanation:

Y = 20 , X = 2

put in the equation

Y = KX ( given )

20 = K × 2

20/2 = K

10 = K

Answer:

277,235.23

Step-by-step explanation:

You have to round to the nearest 0.01 or you can call it the Hundredths Place.