All categories

3 years ago

F(x) = 3x + 2 What is f(5)?

Mathematics

1 answer:

Ulleksa [173]3 years ago

8 0

Answer:

if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17.

Step-by-step explanation:

You might be interested in

F(x)=x what is the equation of the new function shift 8 units left shift 3 units down

nasty-shy [4]

Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5

4 0

3 years ago

Does anybody know how to do this?

s344n2d4d5 [400]

I'm not sure what the question is. It looks like some of it may have been cut off or there is information missing?

8 0

3 years ago

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Valentin [98]

9514 1404 393

Answer:

(b) x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

x +2y = 8

We can check the other choices:

x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

(y2 -y1)x -(x2 -x1)y = constant

(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

-4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

x +2y = 8

8 0

2 years ago

Read 2 more answers

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many mor

Nata [24]

x = points in first game

y = points in second game

6x=y to make them equal multiply the first games points by 6

x+y=35 the points in both games

x +6x = 35 substitute for y (y=6x)

7x=35 combine like terms

x=5

y=6x

y=6(5)

y=30 points

7 0

3 years ago

Please help :)))))))))))

olya-2409 [2.1K]

Answer:

Your answer is C and D

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers