Fill in the table so it represents a linear function. x 5 10 15 20 25 y - 1 11​

Answer:

y = 1/2x - 3

Step-by-step explanation:

Slope: Up 1 over 2

Y-Int: -3

y=mx+b

The value of the function f(n)=5n+8 for f(4) will be 28.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

Answer:

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Step-by-step explanation:

Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:

[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

By direct comparison, we get the following coincidences:

[tex]h = 0[/tex]

[tex]k = 0[/tex]

[tex]4\cdot p = -4[/tex] (Eq. 2)

From (Eq. 2) we get that distance between focus and vertex is:

[tex]p = -1[/tex]

Which is consistent with the fact parabola has an absolute maximum.

Now, the location of the focus is:

[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)

If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:

[tex]F(x, y) = (0-1, 0)[/tex]

[tex]F(x,y) = (-1,0)[/tex]

And the equation of the directrix is represented by:

[tex]x = -p[/tex] (Eq. 4)

([tex]p = -1[/tex])

[tex]x = 1[/tex]

The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.

Answer:

The general formula for this parabola is y2 = 4px.

Therefore, the value of p is  

✔ –1

.

The coordinates of the focus are  

✔ (–1,0)

.

The equation of the directrix is  

✔ x = 1

.

Step-by-step explanation:

Answer:

Please make me brain list

Step-by-step explanation:

Answer:

f(x) = −2/5x + 1

Step-by-step explanation:

when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.

Hope This Helps!

Plz Mark Brainliest!

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

Answer:

m∠U = 54°

m∠T = 72°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:

m∠S = m∠U

m∠S = 54°

m∠U = 54°

All angles in a triangle add up to 180°:

m∠S + m∠U + m∠T = 180°

54° + 54° + m∠T = 180°

108° + m∠T = 180°

m∠T = 72°

Answer: The triangles are similar

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

Explanation:

The square markers show that

angle RPQ = angle RST = 90 degrees

So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.

Answer:

Triangle PQR and RST are both right triangles but they do not share the same  side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The decimal form of 13/3 is a rational number. and decimals are rational

9514 1404 393

Answer:

  b)  19.31 units

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2-y1)²)

  d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373

  d ≈ 19.31 . . . units

Answer:

It is the speed changing

Step-by-step explanation:

becauses it is speed vs time

Answer:

1) .5   2) 1.25

Step-by-step explanation:

lol i don't have time to get the rest but I hope this helps a bit. just remember that you're trying to isolate the variable and find its value. What you do to one side of the equation, do it on the other side of the equal sign

Answer:

13.20$ :)

Step-by-step explanation:

40% off of 20$ is 12$ and 10% of 12$ is 1.20$ add that and you get 13.20$

Answer:

the reason is because the last zero at the end of the second number doesn't equal anything/has no meaning.

Answer:

B?

Step-by-step explanation:

The graph y = 2x + 5 can be represented by the image attached below.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.

When x = 0, y = 5.

x = 1, y = 7 ⇒  (1, 7).

x = 5, y = 15 ⇒ (5, 15).

x = - 5, y = - 5 ⇒ (- 5, - 5).

x = - 2, y = 1 ⇒ (- 2, 1).

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ6

Answer:

Step-by-step explanation:

-6x + 4 = 46

-6x = 42

x = -7

Answer:

p=-7

Step-by-step explanation:

30+6p=7(p+6)-5

30+6p=7p+42-5

30+6p=7p+37

6p-7p=37-30

-1p=7

p=-7

Answer:

x = 3.

Step-by-step explanation:

log4 (3x - 1) = log4 (x + 5)  Since they are both logs to the base 4:

3x - 1 = x + 5

2x = 6

x = 3.

On solving the logarithmic equation, we find that x = 3.

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

[tex]log_{4}(3x-1) = log_{4}(x+5)\\\\3x-1 = x+5\\\\3x-x=5+1\\\\ 2x=6\\\\x=3[/tex]

Learn more about logarithmic equations here

https://brainly.com/question/14411000

#SPJ3

Answer:

Step-by-step explanation:

Answer:

its   c i hope i helped-shelby

Step-by-step explanation:

Answer:

A: 180 -45

Step-by-step explanation:

Since it is a straight angle, it will equal 180 degrees. Since 45 is already taken, u would subtract it from 180.

180-45=135

thus, your answer is 180-45

hope I helped!!!

Answer:

i just answerd this on a nother queston from u go look at that

Step-by-step explanation:

Answer:

no idea you're welcome

Answer:wait 15 min then I will have thee answer

Step-by-step explanation:

Answer:

the answer is we dont know cuz theres no question

ok then it should be the bag wit 8lb

Answer:

Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).