All categories

3 years ago

Alex wrote 103.903 in expanded form as 100+3x1+9x1/100+3x1/1000. Explain his mistake. Then tell how to correct it.

1 answer:

7 0

Here is the mistake is on 9x1/100 because after decimal 9 is there means
9 has to be multiplied by 1/10 to get the 0.9

Here if we expand the 103.903 then from left to right
1 = 1x100 +
0 = 0x10 +
3 = 3x1 +
9 = 9x1/10+
0 = 0x1/100+
3 = 3x1/1000 = 103.903

You might be interested in

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

3 years ago

I NOW HAVE 690 PTS ALSO PLEASE HELP WITH MY MOST RECENT QUESTION

myrzilka [38]

Okay I’ll try!!!!! Let me go check it out

7 0

3 years ago

Read 2 more answers

Samantha had $15.She spends $2.25 on admission to the ice skating rink, $2.15 to rent ice skates and $1.35 each for 2 hot chocol

jolli1 [7]

Answer: $7.90

Step-by-step explanation:

When we see how much she spent on the total cost of renting skates, getting in, and getting hot chocolate, we can see that she is going to subtract all of that from the total cost.

$15.00 - 2.25 = 12.75

12.75 - 2.15 = 10.60

10.60 - 1.35 = 9.25

9.25 - 1.35 = 7.90 remaining

We know that she payed 2.25 to get in, 2.15 for skate rental, and 1.35 for each hot chocolate she purchased which in this case is 2. We need to subtract all of this from 15 and get the final answer

7 0

3 years ago

What is the expression for 40 more than twice the quotient of two amounts

svp [43]

Answer:

2(x/y)+40

Step-by-step explanation:

2(x/y)+40

5 0

3 years ago

John has 15 bills in his wallet . They have 1$ bills and 5$ bills . If the total valye of these bills are 43$ how many of each d

Ipatiy [6.2K]

John has 15 bills in his wallet . They have 1$ bills and 5$ bills . If the total valye of these bills are 43$ how many of each does he have?

5 0

3 years ago