Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)
Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
y = 2 3 x − 5 y = −2x + 3 On a coordinate plane, 2 lines intersect at (negative 3, negative 3). She determined that the solution is (–3, –3). Is she correct? If not, explain why.
Given:
The two equations are:
[tex]y=\dfrac{2}{3}x-5[/tex]
[tex]y=-2x+3[/tex]
To find:
Whether (-3,-3) is a solution of the given equation or not.
Solution:
Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],
x y
0 -5
7.5 0
Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.
Table of values for [tex]y=-2x+3[/tex],
x y
0 3
1.5 0
Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.
From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).
Therefore, she is incorrect because the correct solution is (3,-3).
A taxi firm charges a fixed cost of $10 together with a variable cost of $3 per mile. (a) Work out the average cost per mile for a journey of 4 miles. (b) Work out the minimum distance travelled if the average cost per mile is to be less than $3.25
Answer:
$5.5 per mile
40 miles
Step-by-step explanation:
Given :
Fixed cost = $10
Variable cost = $3
For a journey of 4 miles ;
Cost = fixed cost + Variable Cost
Cost = $10 + $3x
x = number of miles
Cost = $10 + $3(4)
Cost = $10 + $12 = $22
Average cost per mile for a journey of 4 miles
Cost / number of miles
$22 / 4 = $5.5 per mile
Minimum distance if average per mile is to be less Than 3.25
$3.25 = (10 + 3x) / x
3.25x = 10 + 3x
3.25x - 3x = 10
0.25x = 10
x = 10 / 0.25
x = 40 miles
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?
Answer:
1096 more water
Step-by-step explanation:
Let;
x = the water used in general
but used 3 times of the original = 3x
3*(548) = 1644 water a day
How much more water =New - original
where:
new = 1644
original= 548
1644 - 548
=1096 more water
Please attach a photo of your solution
Answer:
0.000081
=8.1x10-⁵
0.0000386
=3.86x10-⁵
see in picture
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Step-by-step explanation:
number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Solve the inequality:
3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3The solution set is the space to the right from 3, where 3 is given by an open circle.
Correct choice reflecting the answer is B:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Relationships between x and y
Answer:
so both tables are proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
Step-by-step explanation:
/ means divided by
divide y by x
for both tables
in each table
if y divided by x
show the same number
for every row
then its proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
so both tables are proportional
Is the graph increasing, decreasing, or constant?
Answer:
it's increasing.
Step-by-step explanation:
I'm not sure what else write here, it's obvious it's increasing
Answer:
Increasing
Step-by-step explanation:
You can see the line moving up on the graph starting from its origin (0,0) then moving to (1,1) then moving slowly up then finally ending at (12,3).
7^9 = ????? My daughter needs help with this really quick!
Answer: 40353607
Step-by-step explanation:
[tex]7^9\\[/tex] = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 = 40353607
Far behind does anyone know this?
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
how many divisors does 56 have?
Answer:
1,2,4,7,8,14,28,56 those are the divisors for 56
Step-by-step explanation:
hope that helps >3
56 7*2^3 1,2,4,7,8,14,28,56
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.
Answer:
(2x - 3) ^2 - 11x - 6
Step-by-step explanation:
(g) (2 sin 60°)(3 kos 60°) + 3 tan 30°
Answer:
[tex](2 \ sin 60)(3\ cos 60) +3\ tan 30\ =\ \frac{5\sqrt3}{2}[/tex]
Step-by-step explanation:
[tex](2 \ sin 60)(3 \ cos 60) + 3\ tan 30\\\\= (2 \times \frac {\sqrt3}{2}) (3 \times \frac{1}{2})+ (3 \times \frac{1}{\sqrt3})\\\\=(\sqrt{3}\ \times \frac{3}{2})+ \frac{3}{\sqrt3}\\\\=\frac{3\sqrt3}{2}+\frac{3}{\sqrt3}\\\\=(\frac{3\sqrt3}{2} \times \frac{\sqrt3}{\sqrt3})+(\frac{3}{\sqrt3} \times \frac{2}{2})\\\\=\frac{3\times (\sqrt3)^2}{2\sqrt3}\ + \ \frac{6}{2 \sqrt3}\\\\=\frac{3 \times 3}{2 \sqrt3} +\frac{6}{2 \sqrt3}\\\\=\frac{9+6}{2\sqrt3}\\\\=\frac{15}{2\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\\\[/tex]
[tex]=\frac{15 \sqrt3}{2 \times (\sqrt{3})^2}\\\\=\frac{15 \sqrt 3}{2 \times 3}\\\\=\frac{5\sqrt3}{2}[/tex]
In the equation 17x2 = 12x, the value of c is:
O 0
O 12
O 17
The value of c is 0.
By question,
17x² = 12x
or,(17x-12):x=0
or,17x - 12 = 0#
For some tips,
In the equation 17x2 = 12x,Rewrite in factored formMove terms to the left sideCreate separate equationsHENCE PROVED ##
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
She can buy from 0 to 20 bags, but no more.
Answer:
b <3
Step-by-step explanation:
18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles
Answer:
4 miles
Step-by-step explanation:
120min/12miles
10min/1mile
40min/4miles
The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Ingrid usually runs 12 miles in 2 hours.
2 hours = 120 minutes
Then the speed will be
Speed = 12 / 120
Speed = 0.1 miles per minutes
If she only has 40 minutes to run today.
Then the number of miles can she run, going at the same rate will be
Distance = 0.1 x 40
Distance = 4 miles
Then the correct option is C.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
SOMEONE PLEASE ANSWER THIS PLZZZ
Answer:
.14
Step-by-step explanation:
A|B (or A given B)= A and B/B
So
Walk to school | senior= (walk to school and senior)/Senior
walk to school and senior= 5
senior= 25+5+5= 35
5/35= .14
Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6
Answer:
B
Step-by-step explanation:
Trust me bro. It’s “B.”
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.
====================================
Explanation:
Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.
See the diagram below.
The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14
This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.
Answer:
The correct answer is 14 liters
Step-by-step explanation:
When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer
Let me know if I did anything wrong. :)
WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-6)/(1-0)
m = -8/1
m = -8
The slope is -8
We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.
Put another way: slope = rise/run = -8/1
rise = -8 and run = 1.
Answer:
-8
it's easy just use the equation y2-y1 ÷ x2-x1
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
Multiply by using suitable rearrangement: 2 × 4 × 8 × 50 × 125. I need this answer. Quick. Ok, How about I give 15 points? Yeah cool just answer.
Answer:
[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]
100 x 77 + 72 ÷ 4 = ? (RIGHT ANSWER GETS BRAINLIEST)
Step-by-step explanation:
100*77+72/4
100*77+18
7700+18
7718
Answer:
Step-by-step explanation:
54 ×100=5400
5400+77=5477
5477÷2 = 2738.5
How many combinations of pennies, nickels, and/or dimes are there with a total value of 35 cents?
Answer:
3 dimes 1 nickel
Step-by-step explanation:
1 dime = 10 cents
3×1 dime = 30 cents
1 nickel = 5 cents
3 dimes + 1 nickel
= 30 cents + 5 cents
= 35 cents
Hello,
there are 20 combinations making a total of 35 cents
In qb64
Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer
nb = 0
For p = 0 To 35
For n = 0 To 7
s = 1 * p + 5 * n
If s < 36 Then
For d = 0 To 3
s = p + 5 * n + d * 10
If s = 35 Then
nb = nb + 1
Print nb, p; n; d
End If
Next d
End If
Next n
Next p
End
