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lorasvet [3.4K]
3 years ago
7

the function g(x) is the function that results when you shift function f(x) up 6 units. f(x)=3x^4. give g(x)

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

g(x) = 3x^{4} + 6

Step-by-step explanation:

To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following

g(x) = 3x^{4} + 6

Both f(x) and g(x) can be seen in the attached picture below

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Graph the equation f(x)=7|x|?
Delicious77 [7]

Answer:

  see below

Step-by-step explanation:

This is a graph of the absolute value function scaled vertically by a factor of 7.

5 0
3 years ago
X^2=60 what is the value of x ?
olya-2409 [2.1K]

Answer:

x = ±2√15

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Multiple roots/solutions

Step-by-step explanation:

<u>Step 1: Define</u>

x² = 60

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Square root both sides:                    x = ±√60
  2. Simplify:                                              x = ±2√15

<u>Step 3: Check</u>

<em>Plug in both solutions of x to verify it's a solution.</em>

x = 2√15

  1. Substitute:                    (2√15)² = 60
  2. Evaluate:                       4 · 15 = 60
  3. Multiply:                        60 = 60

x = -2√15

  1. Substitute:                    (-2√15)² = 60
  2. Evaluate:                       4 · 15 = 60
  3. Multiply:                        60 = 60

Here we see that both solutions do indeed work.

∴ x = ±2√15 are both solutions to the equation.

5 0
3 years ago
X+4/x-2 &gt;0 what is the solution to the inequality
Katen [24]
(x+4)/(x-2) >0
multiply both sides by x-2
x+4 > 0
subtract 4 from both sides
x > - 4

the solutions to this inequality are 
x< −<span>4 or x>2

Hope this helps :)
</span>
8 0
3 years ago
Find the surface area
Brut [27]

Answer:

Step-by-step explanation:

area of top=7×6=42 yd²

area of bottom=3×6=18 yd²

area of two rectangles=2[4×6]=48 yd²

area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²

total surface area=42+18+48+35=143 yd²

7 0
3 years ago
What is 13,931 round by 10​
miv72 [106K]

Answer:

13,930

Step-by-step explanation:

hope this helps!

4 0
3 years ago
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