What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?



The value of x can be




The value of y can be

Answer:

-1/4x + 1 ( If this is wrong then ignore this)

Step-by-step explanation:

The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)

Equation:

y - 3 = -1/4(x + 8)

y - 3= -1/4x - 2

y = -1/4x + 1

Therefore the equation for the line is y = -1/4x + 1

Given parameters:

 Slope of the line  = [tex]-\frac{1}{4}[/tex]

 Coordinates of the points = (-8, 3)

Unknown:

Equation of the line = ?

Solution:

To find the equation of the line, we must note that any straight line can be represented by the equation;

        y  = mx + c

 where x and y are the coordinates

             m is the slope

              c is the y-intercept of the line

Input the parameters and solve for c;

     x = -8 and y  = 3;

         3  = [tex]-\frac{1}{4}[/tex] x (-8) + c

         3 = 2 + c

        c  = 1;

  So the equation of the line is ;

     y  = [tex]-\frac{1}{4}[/tex]x + 1

     multiply through by 4;

   4y = -x + 4

The equation of the line is 4y = -x + 4

Answer:

I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?

Step-by-step explanation:

Answer:

number 10

k= 36

number 11

k=33

Answer:

Subtraction property of equality (a)

The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

Answer:

WARNING! C IS INCORRECT 2021.

MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

ED2021

Answer:

a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Step-by-step explanation:

a.

∵ T(n) = 2n² + 4 is the rule of the sequence, where

∴ For the first term, n = 1

→ Substitute n by 1 in the rule above to find T(1)

∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4

∴ T(1) = 6

→ For the second term, n = 2

∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4

∴ T(2) = 12

→ For the third term, n = 3

∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4

∴ T(3) = 22

→ For the fourth term, n = 4

∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4

∴ T(4) = 36

→ For the tenth term, n = 10

∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4

∴ T(10) = 204

The first four terms and the 10th term are 6, 12, 22, 36, ......., 204

b.

∵ T(n) = 3n² - 3 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3

∴ T(1) = 0

→ For the second term, n = 2

∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3

∴ T(2) = 9

→ For the third term, n = 3

∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3

∴ T(3) = 24

→ For the fourth term, n = 4

∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3

∴ T(4) = 45

→ For the tenth term, n = 10

∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3

∴ T(10) = 297

The first four terms and the 10th term are 0, 9, 24, 45, ......., 297

c.

∵ T(n) = -3n² + 7 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7

∴ T(1) = 4

→ For the second term, n = 2

∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7

∴ T(2) = -5

→ For the third term, n = 3

∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7

∴ T(3) = -20

→ For the fourth term, n = 4

∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7

∴ T(4) = -41

→ For the tenth term, n = 10

∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7

∴ T(10) = -293

The first four terms and the 10th term are 4, -5, -20, -41, ......., -293

d.

∵ T(n) = 4n² - 5 is the rule of the sequence

→ For the first term, n = 1

∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5

∴ T(1) = -1

→ For the second term, n = 2

∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5

∴ T(2) = 11

→ For the third term, n = 3

∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5

∴ T(3) = 31

→ For the fourth term, n = 4

∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5

∴ T(4) = 59

→ For the tenth term, n = 10

∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5

∴ T(10) = 395

The first four terms and the 10th term are -1, 11, 31, 59, ......., 395

Answer:

[tex]Distance = 5.8[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]

[tex]d = -5^{2} + 3^{2}[/tex]

[tex]d= 25 + 9[/tex]

[tex]d= \sqrt{34}[/tex]

[tex]distance = 5.8[/tex]

Answer:

It’s c

Step-by-step explanation:

I just did it in edg

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

Answer:

[tex]=5x-9[/tex]

Step-by-step explanation:

[tex]-\left(-5x+9\right)[/tex]

[tex]Distribute\: parentheses[/tex]

[tex]=-\left(-5x\right)-\left(9\right)[/tex]

[tex]Apply\:minus-plus\:rules[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=5x-9[/tex]

Answer:

4 2/3 yards = 14 feet

Step-by-step explanation:

1 yard = 3 feet

Answer:

Distributive Property

Step-by-step explanation:

4(x-6)=5.4x-24

4x-24=5.4x-24

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100

Answer:

-2

Given:

h(x) = -9

Step-by-step explanation:

h(x) = 4x - 1

-9 = 4x - 1

-9 + 1 = 4x

-8 = 4x

-8/4 = x

x = -2

hope you understood❤

The solution for x when h(x) = -9 is -2

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively

Given;

h(x) = 4x – 1...(1)

h(x) = -9

Substituting the value of h(x) in equation 1

-9=4x-1

-9+1=4x

-8=4x

x=-8/4

x=-2

Therefore, the solution for the equation will be x=-2

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ2

Answer:

Angle D

Step-by-step explanation:

If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.

Answer:

f(6) = 3(6) - 9

Step-by-step explanation:

y = 3(6) - 9

y = 18 - 9

y / f(x) = 9

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

Answer:

they must go 12 floors downwards because parking A has to be on the last floor

Answer:

they other person is somewhat correct

Step-by-step explanation:

Answer:

x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).

Answer: (below)

Step-by-step explanation:

y = 2x + 1

slope = 2

y-int = (0, 1)

y = 3x - 1

slope = 3

y-int = (0, -1)

y = 4x

slope = 4

y-int = (0, 0)

y = -3x - 1

slope = -3

y-int = (0, -1)

y = -x - 4

slope = -1

y-int = (0, -4)

y = (2/5)x - 1

slope = 2/5

y-int = (0, -1)

Answer:

a₁ = - 24

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₇ = 2a₅ , then

a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )

- a₁ - 2d = 0 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given [tex]S_{7}[/tex] = 84 , then

[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84

3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )

2a₁ + 6d = 24 → (2)

Thus we have 2 equations

- a₁ - 2d = 0 → (1)

2a₁ + 6d = 24 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate d

- 3a₁ - 6d = 0 → (3)

Add (2) and (3) term by term to eliminate d

- a₁ = 24 ( multiply both sides by - 1 )

a₁ = - 24

Answer:

Answer: (1,-7)

Step-by-step explanation:

since the translation is under (x + 4, y - 2)

the symbols (+ and -) would change so the translation to use would be

(x - 4, y + 2)

so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)