1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
2 years ago
12

given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit

Mathematics
1 answer:
Nadya [2.5K]2 years ago
8 0

Answer:

The resulting function is f(x+1) = x^3 + 4x^2 + 3x + 1

Step-by-step explanation:

Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).

In this question, we have:

f(x) = x^3 + x^2 - 2x + 1

Shifting 1 unit to the left:

f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1

f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1

f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1

f(x+1) = x^3 + 4x^2 + 3x + 1

The resulting function is f(x+1) = x^3 + 4x^2 + 3x + 1

You might be interested in
each cookie sells for $0.50 Sam spent $90 on baking supplies and each cookie cost $0.25 to make how many cookies does Sam need t
allochka39001 [22]

Answer:he needs to sell 180 cookies or more

Step-by-step explanation:

90.00/.50=180

6 0
3 years ago
Belle inherited an antique teapot from her grandmother. The teapot's current value is $30 and
xeze [42]

Answer:

\boxed{\$79.60}

Step-by-step explanation:

current value is $30

as it increases at a rate of 5% each year

after n year the value will be 30(1.05)^{n}

so for 20 years it will be 30(1.05)^{20}

it gives 79.59893 so we can round it to 79.60

5 0
3 years ago
If m PLZZZZ HELP WITH THISSSSSSSSSSS
aniked [119]
What am I helping ? put the question in
3 0
2 years ago
Read 2 more answers
Can anyone help me with this please ?
zlopas [31]
   
\displaystyle \bf\\
 \frac{x}{20} =  \frac{14}{25}  \\  \\  \\ 
x =  \frac{14 \cdot 20}{25} =  \frac{280}{25} = 11,2 \sim \boxed{10} ~~\text{(rounded to the nearest tenth)}



7 0
3 years ago
Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
Other questions:
  • Graph -2,5 then rotate 180 degrees
    14·1 answer
  • -6x+6y=6<br> -6x+3y=-12<br><br> Solving system of equations by elimination
    14·1 answer
  • How do you find the domain and range of a Rollercoaster?
    6·1 answer
  • X + x + 2 + x + 4 = 81
    13·2 answers
  • 4325000 in scientific notation
    12·2 answers
  • Picking a blue marble from a bag of 4 red Marbles, 6 marbels, and 1 white marble​
    15·1 answer
  • Are you subscribed to technoblade? serious question.
    8·2 answers
  • The graph of a liner function is shown on the coordinate grid. what is the slope of the graph of this function?
    5·1 answer
  • Use the solutions below to write the quadratic expression in standard form.<br><br><br> x=-6 x=2
    13·1 answer
  • 10 gallons of gasoline costs $30. The cost of gasoline per gallon is
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!