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
Vaselesa [24]
2 years ago
14

Simplify2

Formula1" title=" \s \sqrt{x { } ^{2} -4x + 4} " alt=" \s \sqrt{x { } ^{2} -4x + 4} " align="absmiddle" class="latex-formula">
x^2 - 4x + 4 if x<2​
Mathematics
2 answers:
deff fn [24]2 years ago
5 0

Answer:

2 - x

Step-by-step explanation:

x² - 4x + 4

4 = (-2)*(-2)

- 4 = -2 -2

x² - 4x + 4  = (x - 2)(x - 2) = (x - 2)²

√[(x - 2)²] = |x - 2|

or abs(x-2) because value under the root should be positive

if x< 2, then |x-2| = -(x-2) = 2 -x

3241004551 [841]2 years ago
4 0

Answer:

2-x

Step-by-step explanation:

Vx^2-4x+4=Vx^2-2*x*2+2^2=V(x-2)^2=|x-2|

if x<2 then x-2<0 and |x-2|=2-x

You might be interested in
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board cou
motikmotik

Answer:

D.34

Step-by-step explanation:

Let's the A be the 20th board counting from the top of the stack, and B be the 16th board counting from the bottom of the stack. If A is immediately below B, this means B is the 19th board counting from the top of the stack, and also there are 18 other boards that are above B. So the total number of board in the stack would be

16 + 18 = 34

D is the correct answer

7 0
3 years ago
Denise is planning to put a deck in her back yard. The deck will be a 10-by-7-foot rectangle with a semicircle of diameter 4 fee
vladimir2022 [97]

Answer:

approx. = 85.28 {ft}^{2}

Step-by-step explanation:

You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.

(l×w)+(πr^2)/2

(10×7)+((π2^2)/2

79+2π

approx. = 85.28 {ft}^{2}

3 0
3 years ago
Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h
Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}

P is the loan amount.

Where interest rate r is given by

r = \frac{APR}{12}

Total number of payments n are given by

n = 30\times12 = 360

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%

and the corresponding interest rate r is

r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458

Finally, the monthly payment is

MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361

Monthly payment without points:

Interest rate r is,

r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667

Monthly payment is,

MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0
3 years ago
The table gives information about the heights, in cm, of some children.
marusya05 [52]
The mean height would be 155
6 0
2 years ago
7. A computer company that recently developed a new software product wanted to estimate the mean time taken to learn how to use
Ulleksa [173]

Answer:

What company

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Kathen spent $231 on a concert tickets for herself and 11 friends. Each ticket cost the same. Find the cost of each ticket.
    7·1 answer
  • A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.
    9·1 answer
  • (2 thousands 7 tens )÷10 in unit form and standard form is what?
    6·2 answers
  • Anna spends her entire allowance one month. she spends 1/2 on new clothes, 1/6 on food, 1/9 on movies and 2/9 on music. how much
    7·2 answers
  • For this problem, prove/derive the formula that allows one to find an expected value for X by conditioning on Y :
    7·1 answer
  • Find the values of x and y using the give chord, secant, and tangent lengths
    5·1 answer
  • Hey I’m bored <br><br><br> 1 plus 1 is?
    15·2 answers
  • -4x &gt; 500...........................................
    14·1 answer
  • On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson d
    12·1 answer
  • The landscape artist who designed New York City’s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!