Which value of x will make the following statement false?

Use mental math to simplify (3 + 62) +7.

Delicious77 [7]

72 3 plus 62 is 65 plus 7 is 72

6 0

3 years ago

Read 2 more answers

A. Evaluate the polynomial

sdas [7]

Answer:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

-1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

-0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

Step-by-step explanation:

a) y = x³− 5x² + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

Let's evaluate before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

Let evaluate each components of the polynomial one by one

Note that: 3-digit arithmetic chopping means to approximate chop off or remove number after the 3 significant figures.

y = x³− 5x² + 6x + 0.55 at x = 1.37.

x³ = 1.37³ = 2.571353

≈ 2.57

x² = 1.37² = 1.8769

≈ 1.88

5x² = 1.87 × 5

= 9.35

x = 1.37

6x = 1.37 × 6

6x = 8.22

Evaluating the polynomial

y = 2.57 - 9.38 + 8.22 + 0.55

y = 1.98

The percent relative round-off error =

1.956853 - 1.98/1.956853 × 100

= -1.183%

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

y = ((x − 5)x + 6)x + 0.55

Evaluating with the 3 digit chop off rule is applied

= ((1.37 - 5)1.37 + 6)1.37 + 0.55

=( 1.8769 - 6.85) + 6) 1.37 + 0.55

= (- 4.9731 + 6 )1.37 + 0.55

= 1.0269 × 1.37 + 0.55

= 1.406853

= 1.956853.

≈ 1.96

Note in: evaluating before applying the 3 digit arithmetic chopping rule

y = 1.37³ - 5 × 1.37² + 6 × 1.37 + 0.55

y = 1.956853

The percent relative round-off error

1.956853 - 1.96/1.956853 × 100

= -0.161%

Comparing part a and b together, part b is more superior because the percent(%) error is smaller when compared to part a

3 0

3 years ago

HELPPPPPPP PLEASEEEEEEEEEEE

Inessa [10]

Answer:

y=-1

Step-by-step explanation:

it is a straight line graph with no gradient therefore no X value. It crosses the y axis at -1

8 0

3 years ago

If Angela has $500 to invest at 2.5% per annum compounded quarterly, how long will it be

11Alexandr11 [23.1K]

N = number of compounding periods
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (750 / 500) / 4 * log (1 + .025/n)
Years = log (1.5) / 4 * log (1.00625) 
 Years = 0.17609125906 / 4 * 0.0027058933759
Years = 0.17609125906 / 0.0108235735 
Years = 16.2692348382 

Source Calculator
http://www.1728.org/compint.htm

5 0

3 years ago

Trent's salary used to be $143,020. After changing the amount of time he works, he has begun earning $78,661. By what percent di

svlad2 [7]

Answer:

The salary decreased by 45%

Step-by-step explanation:

Given,

The previous salary of Trent is $143,020

The current salary of Trent is $78,661

The decrease in salary is ($143,020 - $78,661) = $64,359

When he used to get $143,020, the decrease in salary is = $64,359

When he used to get $1, the decrease in salary is = $64,359/$143,020

When he used to get $100, the decrease in salary is = $(64,359/143,020)*100

= 45%

Therefore, there is a decrease in salary by 45%.

6 0

3 years ago