Which of the following is NOT a solution to the inequality graphed below?
Graph:
(-2, -4)
(-1, -5)
(0, -3)
(2, -1)
Answers
Greetings from Brasil...
The point (-2; -4) is in the blue area, so it is the solution to the equation;
The point (-1; -5) is in the blue area, so it is the solution to the equation;
The point (0; -3) is in the blue area, so it is the solution to the equation;
The point (2; -1) is exactly on the function line. As this line is dashed, it does not include its values, so this point is not a solution (no point on the dashed line is a solution)
Related Questions
Use a power series to approximate the definite integral, I, to six decimal places. 0.1 x arctan(5x) dx 0.
Answers
Answer:
definite integral I = 0.001591 to six decimal places
Step-by-step explanation:
The definite integral is given as:
[tex]\int ^{0.1}_{0} \ x \ arctan (5x) \ dx[/tex]
For arctanx , the power series is in the order [tex]x - \dfrac{x^3}{3}+ \dfrac{x^5}{5}-\dfrac{x^7}{7}+...[/tex]
[tex]arc tan \ x = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ x ^{2n+1}}{2n +1}[/tex]
The next step is to substitute the value of 5x for x in the above equation;
So,
[tex]arc tan \ (5x) = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ (5x) ^{2n+1}}{2n +1}[/tex]
To multiply both sides by (x); we have
[tex]x\ arc tan \ (5x) = x \ \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5 ^{2n+1} \times x^{2n+1}}{2n +1}[/tex]
[tex]x\ arc tan \ (5x) = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5 ^{2n+1} \times x^{2n+2}}{2n +1}[/tex]
Taking the integral on both sides with respect to x;
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1}}{2n+1} \ \int ^{0.1}_0 x^{2n+2} \ dx[/tex]
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1}}{2n+1} \ [(0.1)^{2n+3}][/tex]
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = \sum \limits ^{\infty}_{n=0} \dfrac{(-1)^n \ 5^{2n +1} \times (0.1)^{2n+3} }{(2n+1)(2n+3)}[/tex]
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = [\dfrac{5 \times (0.1)^3}{1.3}-\dfrac{5^3(0.1)^3}{3.5}+\dfrac{5^5(0.1)^7}{5.7}-\dfrac{5^7(0.1)^9}{7.9}+ ...][/tex]
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx = [\dfrac{1}{600}-\dfrac{1}{1200}+\dfrac{1}{112000}-\dfrac{1}{806400}+ ...][/tex]
[tex]\int^{0.1}_{0} \ x \ arctan (5x) \ dx =1.591 \times 10^{-3}[/tex]
[tex]\mathbf{\int^{0.1}_{0} \ x \ arctan (5x) \ dx =0.001591}[/tex] to six decimal places
A person filing his federal income tax return with the Single filing status had a
taxable income of $31,850. According to the table below, how much of that
income will he have left over after paying his federal income tax?
A) 27,490.00
B) 28,325.00
C) 3525.00
D) 4360.00
Answers
The solution is Option A.
The amount of income left over after paying the federal income tax is given by the equation A = $ 24,490.00
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of income left over be represented as A
Now , the equation will be
The amount of taxable income is $31,850.00
And , the taxable income is in the range $ 8,350 - $ 33,950
So , the fixed tax for the amount is $ 835.00
The percentage of tax is 15 % of the amount over
So , the amount over = $ 8,350
Substituting the values in the equation , we get
The amount over = $31,850.00 - $ 8,350.00
The amount over = $ 23,500.00
Now , 15 % of amount over = 23,500 x ( 15/100 )
15 % of amount over = $ 3,525.00
And , Total tax = 15 % of amount over + fixed tax for the amount
Total tax = $ 3,525.00 + $ 835.00
Total tax = $ 4,360.00
Now , the amount of income left over A = amount of taxable income - Total tax
Amount of income left over A = $31,850.00 - $ 4,360.00
Amount of income left over A = $ 27,490.00
Therefore , the value of A is $ 27,490.00
Hence , the amount left over is $ 27,490.00
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The point C (4, 4) has been rotated by 180⁰ counter clock wise about the point (1, 3). Determine the coordinates for the point C’.
Answers
Answer:
C'(-3, -1)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. Types of transformation are reflection, rotation, dilation and translation.
If a point A(x, y) is rotated 180 degrees counterclockwise about the origin the new coordinates is A'(-x, -y)
Since C(4, 4) is rotated about point (1, 3), we have to make point (1, 3) the origin. This means the new origin O' is at (1, 3). The horizontal and vertical distance between the new origin and point C gives the new coordinate of point C. Point C x coordinate is 3 units from the new origin and y coordinate is 1 unit from the new origin, hence the new coordinate of point C is (3, 1).
A 180⁰ counter clock wise rotation of point C would give a new point at C'(-3, -1)
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°
Answers
Answer:
72°
Step-by-step explanation:
From the information given:
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.
However, side FG and EH are parallel.
∠G = 108°
From the property of parallel lines :
since FG || EH
Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)
The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.
The required angle between Elm Street and Pine Avenue = 180° - 108°
The required angle between Elm Street and Pine Avenue = 72°
Answer:
B. 72
Step-by-step explanation:
How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated
Answers
Work Shown:
The set {A,B,C,1,2} has five items. There are four slots to fill.
So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.
625 four-character passwords can be formed.
----------------------------
Each character of the password is independent of previous characters, which means that the fundamental counting principle is used to solve this question.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
----------------------------
4 independent characters.Each with 5 outcomes(A, B, C, 1 or 2).Thus, the number of passwords is:
[tex]5 \times 5 \times 5 \times 5 = 5^4 = 625[/tex]
625 four-character passwords can be formed.
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The following sample observations were randomly selected. (Round intermediate calculations and final answers to 2 decimal places.)
x 4 5 2 6 9
y 4 6 2 7 7
The regression equation is y (with a hat) = ______ + _______
When X is 7 this gives y (with a hat) = _________
Answers
Answer:
yhat=1.36+0.74x
when x=7 then yhat=6.54
Step-by-step explanation:
Th regression equation is
yhat=a+bx
where slope b is
[tex]b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]
and intercept a is
a=ybar-bxbar
x 4 5 2 6 9
y 4 6 2 7 7
xy 16 30 4 42 63
x² 16 25 4 36 81
n=5.
sumx=26.
sumy=26.
sumx²=162.
sumxy=155.
[tex]b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }[/tex]
[tex]b=\frac{99}{134 }[/tex]
b=0.7388
b=0.74 (rounded to 2 decimal places)
xbar=sumx/n=26/5=5.2
ybar=sumy/n=26/5=5.2
a=ybar-b*xbar
a=5.2-0.7388*5.2
a=5.2-3.8418
a=1.3582
a=1.36 (rounded to 2 decimal places)
Thus, the required regression equation is
yhat=1.36+0.74x
When x is 7 this gives yhat
yhat=1.36+0.74*7
yhat=1.36+5.18
yhat=6.54
Temperatures in Kelvin of various sites on the moon are an example of which type of data?
Answers
Answer: Continuous Data
Quantitative data
TemperatureTemperature is a measure of how hot or cold something is; more specifically, temperature is a measure of the average kinetic energy of the particles in an object, which is a sort of energy related with motion.Quantitative data is described as data in the form of counts or numbers, with each data-set having a unique numerical value.Temperatures in Kelvin of various sites on the moon are an example of quantitative data.Find out more information about the temperature here:
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find compound amount annually of p= RS.4800 ,time= 3/2 and rate =10%
Answers
Answer:
Step-by-step explanation:
[tex]Amount=P(1+r)^t\\=4800(1+0.1)^{\frac{3}{2}}\\=4800(1.1)^{\frac{3}{2}}\\\approx 5537.72 ~Rs[/tex]
2) -On - 2n = 16
How do I solve this
Answers
Answer:
n = -8
Step-by-step explanation:
-0n - 2n = 16
- 2n = 16
n = 16/-2
n = -8
n=-8
Explanation:
2) -On - 2n = 16
-2n=16
n=16/-2
n=-8
Find the lengths of the sides of the triangle PQR. P(6, 6, 1), Q(4, 4, 2), R(4, 10, 5)|PQ| = |QR| = |RP| = $$
Answers
Answer: |PQ| =3 units , |QR| = 3√5 units, |RP| = 6 units.
Step-by-step explanation:
Distance between two points (a,b,c) and (x,y,z) is given by :-
[tex]D=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]
Given: P(6, 6, 1), Q(4, 4, 2), R(4, 10, 5)
Then,
[tex]|PQ|=\sqrt{(6-4)^2+(6-4)^2+(1-2)^2}=\sqrt{2^2+2^2+(-1)^2}\\\\=\sqrt{4+4+1}=\sqrt{9}=3[/tex]
[tex]|QR|=\sqrt{(4-4)^2+(10-4)^2+(5-2)^2}=\sqrt{0+6^2+3^2}\\\\=\sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex]
[tex]|RP|=\sqrt{(6-4)^2+(6-10)^2+(1-5)^2}=\sqrt{2^2+(-4)^2+(-4)^2}\\\\=\sqrt{4+16+16}=\sqrt{36}=6[/tex]
So, |PQ| =3 units , |QR| = 3√5 units, |RP| = 6 units.
In 1961, it was discovered that the drug thalidomide, given to pregnant mothers for morning sickness, caused birth defects. Fifty years later, the manufacturer of the drug issued a but those affected by the drug felt that the company's statement wasn't enough.
A. Mea Culpa
B. Non Sequitur
C. Tabula Rasa
D. Mano a Mano
Answers
Answer:
A) mea culpa
Step-by-step explanation:
7.142857143
How is this rounded to two decimal places?
Answers
Answer:
you look at the third decimal place which will affect the second decimal place.
in this case: 2 affects 4 -- leaves it as 4
so the number rounded to two decimal places is 7.14
!!!!!!! Why isn't A the correct answer? I am having trouble to reason why A is wrong so please help if can!
Answers
Answer:
d. x = -3
Step-by-step explanation:
[tex]\sqrt{(x + 3)}[/tex]÷ (x+8)(x-2) = 0
f(x) / g(x) = 0
Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).
[tex]\sqrt{(x + 3)}[/tex] = 0 ------ square both sides
x + 3 = 0
solve for x:
x = -3
consider the statement p:x+9=10.which of the following is a equivalent statement
Answers
Answer:
The equivalent expression for x+9=10 is x=1.
Step-by-step explanation:
We have a statement i.e. x+9=10
We need to find an equivalent statement for the above statement.
If we subtract 9 on both sides of the above statement,
x+9-9=10-9
We know that, 9-9=0 and 10-9 =1
x+0=1
x=1
So, the equivalent expression for x+9=10 is x=1.
What is the surface area of the square pyramid? 6 square meters 16 square meters 28 square meters 49 square meters
Answers
Answer:
It's 16, i did the unit test already.
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 4
Step-by-step explanation:
Since, DE || AC... (GIVEN)
Therefore, by Basic Proportionality Theorem, we have:
BD/AD = BE/CE
(10-x) / x = 3/2
2(10 - x) = 3x
20 - 2x = 3x
20 = 2x + 3x
20 = 5x
x = 20/5
x = 4
PLEASE HELP ME ASAP The average of 16 consecutive odd numbers is 122. Find the smallest odd number. FIRST TO ANSWER GETS BRAINLIEST
Answers
Answer:
107
Step-by-step explanation:
Hello, Let's note n the odd number that we are looking for.
If n is odd, n+1 is even but n+2 is odd again and so on and so forth.
So, the 16 consecutive odd numbers are
n, n+2, n+4, ... n+2k, ,,,, ,n+30
It means that the average is:
[tex]\displaystyle \dfrac{1}{16}(n+(n+2)+...+(n+2k)+...+(n+2*15))\\\\=\dfrac{1}{16}\sum_{k=0}^{k=15} {(n+2k)}\\\\=\dfrac{1}{16}\left(n * 16 + 2 \sum_{k=1}^{k=15} {k} \right)\\\\=\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)\\[/tex]
And it must be equal to 122, so we can write.
[tex]\dfrac{1}{16}\left(n * 16 + 2 (\dfrac{15*16}{2}) \right)=122\\\\n+15=122\\\\n = 122-15=107[/tex]
Thank you.
The letter b represents a nonzero constant. Solve 2bx-bx= -8 for x?
Answers
Answer:
x = -8/b
Step-by-step explanation:
2bx-bx= -8
bx = -8
Divide by b since b is nonzero
x = -8/b
snailpace coach company is running a trip to "the anoraks" concert. they have seven 52-seater coaches and eight 12-seater minibuses. the coach company forks out £23 for each ticket. it also costs them £150 to run each coach and £80 per minibus. how much will the company have to pay in total to run the trip
Answers
Total seats: 52 x 7 + 8 x 12 = 364 + 96 = 460
Total cost for total seats = 460 x 23 = 10,580
Cost for buses: 150 x 7 + 80 x 8 = 1050 + 640 = 1690
Total cost = 10,580 + 1,690 = $12,270
4(4+2x)=7(x-4)
A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer
Answers
Answer:
x=-44
Step-by-step explanation:
4(4+2x)=7(x-4)
[expanding the brackets]
16+8x=7x-28
[grouping like terms]
8x-7x= -28-16
x= - 44
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = -44}[/tex]
[tex]4(4+2x)=7(x-4)[/tex]
Solution :
[tex]4(4+2x)=7(x-4)[/tex]
[tex]( 2x + 4 ) = 7 ( x - 4 )[/tex]
[tex]4 . 2x + 4 . 4 = 7x - 7 . 4[/tex]
[tex]8x + 16 = 7x - 28[/tex]
[tex]( 8x + 16) + ( -16 - 7x ) = ( 7x - 28 ) + ( -16 - 7x )[/tex]
[tex]( 8x + 16 ) + ( -7x - 16) = (7x - 28 ) + ( -7x - 16)[/tex]
[tex]8x + 16 - 7x - 16 = 7x - 28 - 7x - 16[/tex]
[tex]8x - 7x + 16 - 16 = 7x - 7x - 28 - 16[/tex]
[tex]x = -44[/tex]
( A: The solution set is (_) Simplified )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Have a great day/night!
❀*May*❀
Alejandra works at corys coffee shop after school somedays. A customer orders comes to 4.70. The customer hands alejandra a $5 dollar bill, so she gives the customer 30 cents in change. Because alejandra loves math , she begins to think about different ways in which she could have given the customer 30 cents in change. Using only quaters, dime, nickels how many ways
Answers
Answer:
5
Step-by-step explanation:
6 nickles,3 dimes ,1 quarter +1 nickel, 2 dimes 2 nickles, 1 dime 4 nickles,
Blake randomly chose a letter from alphabet.
What is the probability that this letter has at
least one line of symmetry, given that it is a
consonant?
Answers
Answer:
Hey there!
The letters B, C, D, H, K, M, T, V, W, and X have at least one line of symmetry.
A, E, I, O, U and Y are the vowels.
So we have a total of 21 consonants, and 10 are symmetrical.
Thus, the probability is 10/21.
Let me know if this helps :)
find the value of
(-3)^5/(-3)^6
Answers
Answer:
[tex] \boxed{ \bold{ \frac{1}{3} }}[/tex]Step-by-step explanation:
[tex] \mathsf{ \frac{ { - 3}^{5} }{ { - 3}^{6} } }[/tex]
To divide two terms with the same base , the power of divisor is subtracted from the power of the dividend and the same base is taken
⇒[tex] \mathsf{ { - 3}^{5 - 6} }[/tex]
⇒[tex] \mathsf{ { - 3}^{ - 1} }[/tex]
Applying law of negative index
⇒[tex] \frac{1}{3} [/tex]
Hope I helped!
Best regards!!
-3^5-6
-3^-1
The law of negative index
1/3
Identify the y intercept of the following equation
y=-3x + 5
Answers
Answer:
5
Step-by-step explanation:
y=mx+b
B is always the y intercept.
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°
Answers
Answer: Option B -- 72°
Step-by-step explanation:
If a town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Using Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. The measure of the angle between Elm Street and Pine Avenue is 72°
Answer:
b
Step-by-step explanation:
Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.
Answers
The quantity of tomatoes that are left is equal to 1.875 pounds.
Given the following data:
Quantity of tomatoes = 3 pounds.Fraction used = [tex]\frac{5}{8}[/tex]To determine the quantity of tomatoes that are left:
In order to determine the quantity left from the tomatoes Glenn bought, we would use the following mathematical expression:
[tex]Quantity\;left = Fraction\; used \times Total\;quantity[/tex]
Substituting the given parameters into the formula, we have;
[tex]Quantity\;left = \frac{5}{8} \times 3\\\\Quantity\;left = \frac{15}{8}[/tex]
Quantity left = 1.875 pounds
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Give a recursive definition of
a) the set of odd positive integers.
b) the set of positive integer powers of 3.
c) the set of polynomials with integer coefficients.
For example: 5x 3 − 2x 2 + 3 or 7x 4 − 8x 3 + x
Answers
Answer:
a. for positive odd integers starting 1 and increaments by 2:
( first odd number ) + 2 ∈ S
b. for positive integer powers of 3 :
3( integer ) ∈ S
c. for integer coefficient of the given polynomial :
s. t ∈ S , s - t ∈ S and s + t ∈ S
Step-by-step explanation:
the odd number starts with 1 and increases by two, and the set of that would range from 1 to infinity.
Write an equation of the line below.
Answers
Answer: y=2x+2
Step-by-step explanation:
slope-intercept form: y=ax+b
----------------------------------------
#1 Find the slope
- Use rise/run to find the slope: 8/4=2
- Use slope formula: (2-(-6))/(0-(-4))=8/4=2
#2 Find the y-intercept
- Given the point (2, 0) it is already the y-intercept which is 2
----------------------------------------
a=2
b=2
y=2x+2
how do i solve this absolute value equation
2|5x|= 10?
Answers
Answer:
x=1 x = -1
Step-by-step explanation:
2|5x|= 10
Divide each side by 2
2/2|5x|= 10/2
|5x|= 5
Absolute values have 2 solutions, one positive and one negative
5x = 5 5x = -5
Divide each side by 5
5x/5 = 5/5 5x/5 = -5/5
x = 1 x = -1
Answer:
Step-by-step explanation:
● 2|5x| = 10
● 2 × |5| ×x = 10
5 is positive so |5| = 5
● 2×5× |x| = 10
● 10×|x| = 10
● |x| = 10
● x = 1 or x = -1
The functions f(x) and g(x) are graphed. Which represents where f(x) = g(x)? f(2) = g(2) and f(0) = g(0) f(2) = g(0) and f(0) = g(4) f(2) = g(0) and f(4) = g(2) f(2) = g(4) and f(1) = g(1)
Answers
Answer:
The given graph shows the relationship between the f(x) and g(x).
Since the problem is to find the points where f(x) becomes equal to g(x) then we will be focusing only to the x-axis and ignore the points of y-axis.
Out of the four choices, the correct answer for the given functions of x will be f(2) = g(2) and f(0) = g(0), f(0) and g(0) is located at the origin. So the points where the curve and line are intersecting is at f(2) and g(2) and the other point is at f(0) and g(0), neglecting the y-axis.
Step-by-step explanation: