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3 years ago

What is the end behavior of f(x)=5x^3-2x+5

Mathematics

2 answers:

VashaNatasha [74]3 years ago

7 0

F ( x) = 5x^3 - 2x + 5

y = 5x ^3 - 2x + 5

LEFT END = RISING & RIGHT END = RISING

serg [7]3 years ago

5 0

F(x) = 5x³-2x+5

The end behavior of a polynomial is the behavior of the graph when:
x→ + ∞ and x → - ∞

when x → + ∞, f(x) → +∞

and when x → - ∞ , f(x) → - ∞

You follow the sign of the greatest exponent , that is 3 (on 5x³)

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if a customer receives 15% off a shirt that cost $20 and has to pay 6% sales tax. How much did the customer pay?

nlexa [21]

The answer is A. 18.02

if you do 20 - 15% = 17 17 + 6% = 18.02

8 0

3 years ago

Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25%

nadya68 [22]

Answer: his pay for the 4th year is $1453.16

Step-by-step explanation:

The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = $1,400

r = 1 + 1.25/100 = 1.0125

n = 4 years

The 4th term(year), T4 is

T4 = 1400 × 1.0125^(4 - 1)

T4 = 1400 × 1.0125^3

T4 = $1453.16

8 0

3 years ago

The Nuthouse offers a mixture of soy nuts and almonds, Almonds

elena55 [62]

Answer:

14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

x = 20 -y . . . . . . . subtract y from the first equation

7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

140 -1.5y = 119 . . . . . . . . simplify

21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0

2 years ago

Which of the following can represent the three angles in an obtuse, scalene triangle?

Bingel [31]

Answer:

30, 30, 120

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

1 1/4mi = ft, can someone explain this to me

skelet666 [1.2K]

First off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.

$\bf \stackrel{mixed}{1\frac{1}{4}~mi}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}~mi}\\\\
-------------------------------$

$\bf \begin{array}{ccll}
feet&miles\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
5280&1\\
f&\frac{5}{4}
\end{array}\implies \cfrac{5280}{f}=\cfrac{1}{\quad \frac{5}{4}\quad }\implies \cfrac{5280}{f}=\cfrac{\frac{1}{1}}{\quad \frac{5}{4}\quad }
\\\\\\
\cfrac{5280}{f}=\cfrac{1}{1}\cdot \cfrac{4}{5}\implies \cfrac{5280}{f}=\cfrac{4}{5}\implies \cfrac{5280\cdot 5}{4}=f\implies 6600=f$

4 0

3 years ago