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TEA [102]
3 years ago
13

Explain why (–4x)0 = 1, but –4x0 = –4.

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0
Any number raised to power of 0 is 1.
In (-4x)^0, because of the parenthesis, the whole number is being raided to 0, which gives 1.
But in -4x^0, only x is being raised to 0, thus -4x^0 = -4(1) = -4.
You might be interested in
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
In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins
Step2247 [10]

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

8 0
3 years ago
What is the correct unit for this triangle??
natita [175]
The correct unit for this triangle would be cm. Hope this helps!
8 0
3 years ago
Read 2 more answers
Help me with this please! :D
Nady [450]

Answer:

#1=2

#2= 14

#3= 26

#4= 32

Step-by-step explanation:

y=6x-16

Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.

8 0
3 years ago
Read 2 more answers
So idk what 4.25 is rounded to the neatest 10 can you help?
s344n2d4d5 [400]

Answer:not the answer person but wouldn't it be 4 cause it's not more then half of the number lol.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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