The form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).
To evaluate the polynomial [tex]y = x^3 - 5x^2 + 6x + 0.55[/tex]at x = 1.37 using 3-digit arithmetic with chopping, we substitute x = 1.37 into the expression:
[tex]y = (1.37)^3 - 5(1.37)^2 + 6(1.37) + 0.55[/tex]
Calculating each term;
[tex](1.37)^3[/tex]= 2.559
5[tex](1.37)^2[/tex]= 9.415
6(1.37) = 8.22
Substituting these values into the expression for y,
y = 2.559 - 9.415 + 8.22 + 0.55
y = 1.914
Now, let's move on to part (b).
We will express y as y = ((x - 5)x + 6)x + 0.55,
Now using 3-digit arithmetic with chopping.
Then, we substitute x = 1.37 into the expression:
y = ((1.37 - 5) 1.37 + 6) 1.37 + 0.55
Calculating each term separately:
(1.37 - 5) = -3.63
-3.63 x 1.37 = -4.98
-4.98 + 6 = 1.02
1.02 x 1.37 = 1.3974
Finally, adding 0.55:
y = 1.3974 + 0.55
y = 1.9474
Now, let's compare the percent relative round-off errors in both cases.
In part (a), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was also 1.914. Therefore, the percent relative round-off error is:
(1.914 - 1.914) / 1.914 x 100 = 0%
In part (b), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was 1.9474.
Therefore, the percent relative round-off error is:
(1.9474 - 1.914) / 1.914 x 100 ≈ 1.741%
Therefore, in this comparison, we can conclude that the form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).
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Write the equation of the line in slope-intercept form.
A faucet leaks water at a constant rate of 58 quart every 15 minutes.How many quarts does the faucet leak per hour?
Answer:
232 quarts
Step-by-step explanation:
58 quarts per 15 minutes, so 15 minutes x4 is an hour, so you would also do 58x4 which gets your answer of 232 quarts
Hope this helped :)
An artist is making a scale model of a statue. On the model 2 inches represent 1 foot on the actual state witch graph best represents this relationship
Answer:
C
Step-by-step explanation:
i have the same question i found it on quizzes
what is 8.546 rounded to the nearest tens?
Answer:
10
Step-by-step explanation:
In this problem we need to round off 8.546 to the nearest tens. 8 is in ones place, 5 is in tenths place, 4 is in hundredths place and 6 is in thousandth place.
8 falls between 5 and 10 on the number line. It is less than 5 and more than 10. When it is rounded off to nearest tens it can be given by 10.
PLS ANSWER FAST!! CORRECT ANSWER GETS BRAINLIEST!!!!
If h(x)= 4(x + 6), what is the value of h(4)? a 16 b -5 c 32 d 40
Answer:
40
Step-by-step explanation:
h(x)= 4(x + 6)
Let x=4
h(4)= 4(4 + 6)
= 4(10)
= 40
Answer:
D
Step-by-step explanation:
So we have the function:
[tex]h(x)=4(x+6)[/tex]
To find h(4), substitute 4 for x. Thus:
[tex]h(4)=4(4+6)[/tex]
Add within the parentheses:
[tex]h(4)=4(10)[/tex]
Multiply:
[tex]h(4)=40[/tex]
The answer is D.
And we're done!
Solve the formula 2x+3y=12 for y.
Answer:
y=4 - [tex]\frac{2x}{3}[/tex]
Step-by-step explanation:
The value of y for 2x + 3y = 12 is (12 - 2x) / 3.
Given,
2x + 3y = 12
We will solve for y.
How to solve an equation for a variable?We will keep the like terms on one side of the equation and solve for the required variable.
Example: x + 2x + y = 3 + 2y
Solve for y:
x + 2x + y = 3 + 2y
3x = 3 + 2y - y
3x - 3 = y
3(x - 1) = y
y = 3(x - 1) is our answer.
Solve 2x + 3y = 12 for y.
We have,
2x + 3y = 12
Keep y on one side of the equation.
3y = 12 - 2x
Divide both sides by 3.
y = (12 - 2x) / 3
Thus the value of y for 2x + 3y = 12 is (12 - 2x) / 3.
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what is the difference between 585 and -8
Answer:
593
Step-by-step explanation:
when you are subtracting a negative it is the same as adding
Evaluate the polynomial when a.x=0 and b.x=-1
x2 – 3x - 7
Answer:
a) -7 & b) -6
Step-by-step explanation:
Here,
a) x = 0
Solution ↦
[tex]x2 - 3x - 7 \\ = 0 \times 2 - 3 \times 0 - 7 \\ = - 7[/tex]
b) x = -1
Solution ↦
[tex]x2 - 3x - 7 \\ = - 1 \times 2 - 3 \times ( - 1) - 7 \\ = - 2 + 3 - 7 \\ = - 9 + 3 \\ = - 6[/tex]
Is the answer (-1,1)???
Answer:
yes
Step-by-step explanation:
Answer:
(1 , -1)
Step-by-step explanation:
7( 1 ) - 3( -1 ) = 10
7 - - 3 = 10
7 + 3 = 10
10 = 10
true
Mrs. Yakubov needs to distribute 4 colored pencils and 3 glue sticks to the 6 tables in her classroom. Which expression represents the number of materials being distributed this situation? 6(4 + 3) 4(3 + 6) 3(4 + 6)
Answer:
[tex]6(4 + 3)[/tex]
Step-by-step explanation:
Given
Pencils = 4
Glue = 3
Required
Distribute these to 6 tables
Represent the pencils with P and Glue with G
The distribution to 6 tables will be:
[tex]6P + 6G[/tex]
Apply distributive property
[tex]6(P + G)[/tex]
Substitute values for P and G
[tex]6(4 + 3)[/tex]
Hence, the first option answers the question
What is 31 1/2 divided by 3 1/2
Answer:
9
Step-by-step explanation:
used a calculator
In a volcano, erupting lava flows continuously through a tube system about 13 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea.
Answer:
26 hours
Step-by-step explanation:
speed = distance/time
s = d/t
st = d
t = d/s
t = (13 km)/(0.5 km/h)
t = 26 h
Answer: 26 hours
7 - 5 + 14 / 2 + 6. workings pls
Answer:
15
Step-by-step explanation:
PEMDAS
7-5+14/2+6
14/2=7
7-5=2
6=6
7+2+6=15
[tex]\text {Hello! To answer this question you must...}[/tex]
[tex]\text {Subtract:}[/tex]
[tex]\text {7-5=2}[/tex]
[tex]\text {Divide:}[/tex]
[tex]\text {14/2=7}[/tex]
[tex]\text { Your new equation should be 2+7+6}[/tex]
[tex]\text {Now for the final step you add}[/tex]
[tex]\text {2+7+6=}[/tex]
[tex]\fbox {15}[/tex]
[tex]\text {Bext of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
find the missing side that's indicated. Round your answers to the nearest tenth.
Answer:
1) 16.8ft
2) 32.2ft
3) 50.9cm
4) 14.4m
(all answers rounded off to the nearest tenth)
Step-by-step explanation:
Please see attached pictures for the full solution.
Why is the answer for letter b 9?
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Step-by-step explanation:
From x=0 to x=1, the function is above the x-axis, so the area is positive.
From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.
From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.
Since the area increases in each interval, the area is a maximum at x=9.
Justin’s lemonade stands didn't do well this year. He.spent $14.28 on supplies (lemons and paper cups). He paid his friend $13 to help him build his lemonade stand. He sold forty-one cents each. What was his profit?
Answer:
16 + (–7) + 22 + (–12)
Hope this helped!!!
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression when simplified is equal to 2.3684.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As per the PEMDAS, we will first solve the parenthesis. Since the round parenthesis is solved first, therefore, we can write,
90 ÷ [10 + ( 32 − 4 )]
= 90 ÷ [10 + (28)]
= 90 ÷ [10 + 28]
Solving the next parenthesis, therefore, the square brackets,
= 90 ÷ [10 + 28]
= 90 ÷ 38
At last, we will solve the division, therefore, we can write,
= 90 ÷ 38
= 2.3684
Hence, the value of the expression when simplified is equal to 2.3684.
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Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3
Answer:
C. 81÷3
Step-by-step explanation:
We want to write a numerical expression for the phrase: "the quotient of 81 and 3"
Quotient indicates division, so we must divide 81 by 3.
81÷3
This can be further simplified, but the questions asks for a numerical expression. This is defined as an expression with numbers and at least one operation. So, B is correct, because 81 divided by 3 is 27, but it is not a numerical expression.
Therefore, the best answer choice is C. 81÷3
What is the midpoint of AB?
point F
point G
point H
point I
Answer:
g
Step-by-step explanation:
Answer:
point g is the answer
Step-by-step explanation:
Evaluate and simplify the following complex fraction.
Answer:
The answer is
[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]Step-by-step explanation:
[tex] \frac{ - \frac{5}{7} }{ \frac{2}{4} } [/tex]First of all we can write the fraction as
[tex] - \frac{5}{7} \div \frac{2}{4} [/tex]Simplify the second fraction
That's
[tex] \frac{2}{4} = \frac{1}{2} [/tex]So we have
[tex] - \frac{5}{7} \div \frac{1}{2} [/tex]Next change the division sign to multiplication sign and reverse the second fraction
That's
[tex] -\frac{5}{7} \times \frac{2}{1} [/tex]Multiply the terms
We have the final answer as
[tex] - \frac{10}{7} \: \: \: or \: \: - 1 \frac{3}{7} [/tex]Hope this helps you
The sale price of a new refrigerator is $648 and sales tax is figured at 0.10 times the price. What is the total amount paid for the refrigerator?
Answer:
$712.80
Step-by-step explanation:
648×0.10=64.8
648+64.8=712.8
The total amount paid for the refrigerator is $712.8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Sale price = $648
Sales tax = 0.10 times the price
The total amount paid.
= 648 + 0.10 x 648
= 648 + 64.8
= 712.8
Thus,
The total amount paid is $712.8.
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how do i do linear functions?
Answer:
1. Substitute the value of f(x) into the problem. 8=3x-1.
2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...
3. Continue to isolate the variable. ...
4. Simplify.
Step-by-step explanation:
There are 30 students in a class of 18 of them own at least one pet what fraction of the class own pets? Give your answer in its simplest form
Answer:
18/30 simplified is 3/5
Step-by-step explanation:
write a fraction and a percent for the shaded portion of each one.
Answer:
Fractions:
a. 1/4
b. 1 and a half
c. 2/3
Percentages:
a. 25%
b. 50% unsure abt this one
c. 66.67%
Step-by-step explanation:
Which fractions are equivalent to 6/8 ? Check all that apply.
1/4
2/8
4/16
3/4
12/16
Answer:
3/4
Step-by-step explanation:
you got to find the half of the number
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?
Ps: don’t text me only if u know the answer that’s it
Answer:
for each letter 1 /26 is the probability
Step-by-step explanation:
probability = no. of events / no. of outcome
probability for tile A
= no. of events / no. of outcome
= 1 / 26
probability for tile B
= no. of events / no. of outcome
= 1 / 26
probability for tile C
= no. of events / no. of outcome
= 1 / 26
Hope it helpsplease mark brainliest. What is the median of this set of values? 6, 8, 10, 8, 4, 2, 12 4 6 7 8
Answer:
7
Step-by-step explanation:
Just put the numbers in order the find the number in the middle in the case that there are to numbers add the together then divide by 2
What does absolute value tell you
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
if 5a + 2b + 6c 32, what is the value of c?
Answer:
c= (-5a-2b+32)/6
Step-by-step explanation:
this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number