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Greeley [361]
3 years ago
10

What is the end behavior of f(x)=4x^4-3x^2?

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

as x→∞, y→∞

as x→-∞, y→∞

Step-by-step explanation:

To tell what the end-behavior is, look at the x with highest exponent value in the function.

f(x) = 4x⁴ - 3x²

The highest power is x⁴.

Our highest exponent value is 4.

If the highest power is an even number, the end behavior is:

  as x→∞, y→∞

  as x→-∞, y→∞

this is always true. It's part of the rule for end-behavior.

The end behavior graph for an even power will look like the graph for x².

This is also always true. It will always look like this if the highest power is an even number.

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Solve the equation algebraically for all values of X
noname [10]
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5

5 0
3 years ago
FIND M∠R (GIVING BRAINLIEST, 25 PTS)
riadik2000 [5.3K]

Answer:

<h2>76</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • triangles
  • equation
  • PEMDAS
<h3>given:</h3>
  • M\angle T=2x+2
  • M\angle R=3x+1
<h3>tips and formulas:</h3>
  • this is an isosceles triangle since two sides are equal therefore \angle T=\angle S
  • a triangle contains 180°
<h3>let's solve:</h3>

according to the question

2x+2+2x+2+3x+1=180

solve:

  1. collect like terms:7x+5=180
  2. substract 5 from both sides:=>7x+5-5=180-5=>7x=175
  3. divide both sides by 7: =>7x/7=175/7
  • x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

7 0
3 years ago
Read 2 more answers
Select all the statements that are true for any value of x​
Goryan [66]

Answer:

A, C, E, F

Explanation:

equal on both sides

6 0
2 years ago
Triangle JKY is the image of triangle GBP after it has been rotated 180° about the origin.
sashaice [31]
∠G would be congruent to ∠J
∠B would be congruent to ∠K 
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Hope this helps :)
5 0
4 years ago
Exercise
Maurinko [17]
X - nominator
y - denominator

\frac{3x}{y+12}=\frac{3}{4}\\&#10;\frac{x+7}{3y}=\frac{1}{2}\\\\&#10;3(y+12)=12x\\&#10;2(x+7)=3y\\\\&#10;3y+36=12x\\&#10;2x+14=3y\\\\&#10;2x+14+36=12x\\&#10;10x=50\\&#10;x=5\\\\&#10;3y=2\cdot5+14\\&#10;3y=10+14\\&#10;3y=24\\&#10;y=8\\\\&#10;\frac{x}{y}=\boxed{\frac{5}{8}}
6 0
4 years ago
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