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3 years ago

If x = –3, then x2 – 2x + 1 = ?

Mathematics

2 answers:

Alina [70]3 years ago

7 0

-3(2)-2(-3)+1
-6+6+1
1

alukav5142 [94]3 years ago

5 0

Since I just realized that you meant x^2-2x+1, let me evaluate this step by step:

x^2-2x+1
((-3)^2)-(2(-3))+1
9-(-6)+1
9+6+1
16

Therefore, that would equal 16.

You might be interested in

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

3 years ago

What is the multiplicative rate of change for the exponential function graphed to the left?

garik1379 [7]

Hence, the function increases at a constant multiplicative rate..

<h2>What is a function?</h2>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

<h3>How to solve?</h3>

We know,

the answer is (B) the function increases at a constant multiplicative rate.

to learn more about functions: brainly.com/question/25638609

#SPJ2

6 0

1 year ago

Which term describes that right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan?

Pie

Answer:

Lien

Step-by-step explanation:

The correct answer to this question is "Lien". This is the term that describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan is called the lien. Hope this helps answer your question.

3 0

3 years ago

Read 2 more answers

Help please !!!!!!!!!

wlad13 [49]

Answer:

Step-by-step explanation:

4 0

2 years ago

2x^2+3x-2, a=0 How do I find the derivative?

Ghella [55]

You can use the definition:

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h$

Then if

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

we have

$f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2$

Then the derivative is

$\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}$

I'm guessing the second part of the question asks you to find the tangent line to f(x) at the point a = 0. The slope of the tangent line to this point is

$f'(0) = 4(0) + 3 = 3$

and when a = 0, we have f(a) = f (0) = -2, so the graph of f(x) passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

y - (-2) = 3 (x - 0)

y + 2 = 3x

y = 3x - 2

5 0

3 years ago