SOlution : Domain of (bºa)(x) = [4, ∞]
The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.
The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].
The meaning of "domain" in topology is a connected open set.
Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.
In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g
Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.
Given a(x) = 3x + 1 ⇒ Domain, D1 = R
b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]
Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)
= D2 ⋂ D1
= [4, ∞] ⋂ R
= [4, ∞]
Domain of (bºa)(x) = [4, ∞]
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A triangle with vertices A(1,1), B(3,4), C(6,3) is rotated counterclockwise about the origin 90°. What are the coordinates of the vertices of the new triangle?]
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
Rotation means the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwise It requires rotation implies negative magnitude A counter clockwise turns has a positive magnitudeVertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
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Graph the function h(x)=-3/x by completing the table of values and plotting points.How does the graph compare to its parent function, f(x)=1/x? Describe any change for each of the following
Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent and translated functions are given, respectively, by:
f(x) = 1/x.h(x) = -3/x.The translations are described as follows:
Multiplication by a negative number, hence it was reflected over the x-axis.Multiplication by a number with absolute value of 3, hence the function was vertically stretched by a factor of 3.The graph of h(x) is given at the end of the answer, containing points such as:
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8+(-7)^2-(7∙-2+1)
help. please
I know the answer is 70 but just show me how you get 70????
The simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.
What is the simplified form of the expression?Given the expression in the question;
8 + (-7)² - (7 × (-2) + 1 )
Simplify each term, raise -7 to the power 2
8 + (-7)² - (7 × (-2) + 1 )
8 + 49 - (7 × (-2) + 1 )
Multiply 7 by -2
8 + 49 - ( -14 + 1 )
Add -14 and 1
8 + 49 - ( -13)
Remove parenthesis by multiplying -1 by -13
8 + 49 + 13
Now, simplify by adding the number
8 + 49 + 13
57 + 13
70
Therefore, the simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.
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Today is Amanda's birthday. She is 6 years old. How old is Amanda in months?
Answer:
72 months
Step-by-step explanation:
6 x 12 = 72
Rick's chore list shows that he is responsible for washing the dishes after dinner this week. Last night, he washed 4 plates in 2 minutes. Tonight, his grandparents are coming to dinner, and Rick will wash 6 plates.
If he washes plates at the same rate, how many minutes will it take Rick to wash the plates tonight?
Answer:
3 minutes
Step-by-step explanation:
there are many ways to answer this question you can on it later but im going to write the easiest here
4 plates is 2 minutes
find how many minutes for one plate and times it by 6
2 ÷ 4 = 1/2 minutes or 30 seconds
therefore;
1/2 × 6 = 3 minutes
please rate brainliest if helps
What is the fewest number of intersection points that two planes can have?
Answer: 4 points
Step-by-step explanation:
The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.
Answer:
One line of intersection (three points of intersection)
Step-by-step explanation:
When two planes intersect, they don't form points of intersection, but they form a line of intersection.
From equation of a line,
[tex]{ \tt{ax + by + cz = 0}}[/tex]
x, y, z are points of intersection
Need help asap my test is done in 5 minutes
Hello,
[tex] \frac{8 {}^{5} }{8 {}^{ - 9} } = 8 {}^{5 - ( - 9)} = 8 {}^{5 + 9} = 8 {}^{14} [/tex]
Brosss pleaseee help me
Answer:
Below.
Step-by-step explanation:
a. True - it states that 4 is an element of Set P.
b False - 5 is an element of set Q .
5 ∈ Q.
c. P ∩ Q = Ф True - This says that there are no common elements in P and Q which is true. Ф is the 'empty set'.
d. True: n(P) = 4 means there are 4 elements in P.
e. True: there are 4 elements in P and in S.
S can be written as {3, 4, 5, 6} - that is the integers which are greater than 2 and less than or equal to 6. The Z means the set of integers.
-8 You burn 6 grams of carbon in plenty of air: C(s) + O₂(g) →→→ CO₂ (g) a What volume of gas will form (in dm³ at rtp)? b What volume of oxygen will be used up?
a) Gas has a volume of 12 liters.
b) 12 liters of oxygen gas will be consumed during the reaction.
Step-by-step explanation:
Moles of Substances:
We measure the quantity of atoms and molecules in moles, which is equal to 6.022 ×10²³, Avogadro's number, because they are too small to be counted or weighed individually. A substance's atomic mass is multiplied by Avogadro's number to get its mass in grams.
Here, Half a mole of carbon is equal to six grams of carbon. since 12 grams make up one mole of carbon. Since carbon dioxide has the chemical formula CO2, when a mole of carbon is fully combusted, it will result in the production of a mole of carbon dioxide gas.
a) Half a mole of gas has a volume of 12 liters because one mole of gas at RTP consumes 24 liters.
b) Due to the fact that each oxygen molecule contains two oxygen atoms and each carbon dioxide molecule contains two oxygen atoms, 12 liters of oxygen gas will be consumed during the reaction.
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What is the total area of this figure (I am in middle school and a 7th grader just for notes)
Answer:12?
Step-by-step explanation:
A=L x W
Answer:
the total area is 20
Step-by-step explanation:
next time you can just count the boxes that's how I answer these types of questions.
(-4,-11) coordinates over the x axis
The plotting of (-4,-11) coordinates is given below in the graph .
In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values. A point on a graph often represents a relationship between two or more things. In mathematics, graph theory is the study of graphs. A graph is a mathematical construct used to model pairwise relationships between objects. In this context, a graph consists of vertices (also called nodes or points) connected by edges (also called links or lines).We have given a coordinate (-4,-11) which means that x - coordinate is -4 and y- coordinate is -11 .
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The complete question is mention below :
Plot (-4,-11) coordinates over the x -axis and y-axis .
If you have piano lessons every 7 days and tuba lessons s every 3 days, how many days before you have them together
21 days before I had both the lessons together.
For the occurrence of two events at the same time we will find the least common multiple.
If I have piano lessons on every 7th day and tuba lessons on every 3rd day,
Least common multiple of 3 and 7 will be,
Multiples of 3 = 1 × 3
Multiples of 7 = 1 × 7
Least common multiple (LCM) of 3 and 7 = 3 × 7
= 21
Therefore, 21 days before I had both the lessons together.
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PLease help me on this
Answer:
C. [tex]2^{3} x3^{2}[/tex]
Step-by-step explanation:
[tex]2^{3} x3^{2}[/tex]
[tex]2^{3} =8[/tex]
[tex]=8x[/tex]·[tex]3x^{2}[/tex]
[tex]3^{2} =9[/tex]
[tex]=8x[/tex]·[tex]9[/tex]
Then multiply 8 · 9 = 72
[tex]=72[/tex]
hopefully this helps you !
41. The Boca Grande Causeway in Florida is about
14 times as long as the Golden Gate Bridge
in San Francisco. The Golden Gate Bridge is
about 9,000 feet long. About how long is the
Boca Grande Causeway?
The length of the Boca Grand Causeway is 126,000 feet
What is the length of the Boca Grand Causeway?
Multiplication is the continual addition of two or more numbers of equal sizes. The value gotten after multiplication is the product. Multiplication is one of the basic mathematical operations. The sign used to denote multiplication is x. Other basic mathematical operations include addition, subtraction and division.
Length of the Boca Grand Causeway = length of the golden gate bridge x 14
9,000 x 14 = 126,000 feet
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xy = 4
y = 2x + 2
Solve linear systems by substitution
Answer:
Step-by-step explanation:
how to solve 3x-2
…………..
A customer wants to buy 0.3 pounds of mulch that cost $7.30 per pound. if the customer has a coupon for $0.50 off the total cost, how much will they pay for the mulch?
Answer: The customer will pay 1.69$ for the mulch.
Step-by-step explanation:
7.30 = 1 Pound
0.3 = 3/10
3/10 x 7.30 or 3/10 of 7.30 = 2.19
2.19
2.19 = without coupon
1.69 = with coupon.
The total with 50 cents off is 1.69$.
how do you solve the equation 3(9/4 + 1/4y)-5y=11
Step-by-step explanation:
Hope that helps!!
-3h ≤ 42
-v/2 ≤ 9.5
-4/5m ≥ -8
i dont know how to solve these
The solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
How to solve the inequality expressions?To do this, we simply solve the expressions one after the other
So, we have:
-3h ≤ 42
Divide both sides by -3
So, we have
h ≥ -14
-v/2 ≤ 9.5
Multiply both sides by -2
v ≥ -19
-4/5m ≥ -8
Multiply both sides by -5/4
m ≤ 10
Hence, the solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
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what is the answer to 34^5+6%7=
Answer:
ik what you ment
this is your answer 45,435,439.87
Step-by-step explanation:
I have looked from answer sheet but i still didn’t get it…
Answer:
Xyz E number
Step-by-step explanation:
I think Xyz is right
Answer:
A. AB = xyzx
Step-by-step explanation:
You want AB when A = BC, B = x, and C = yz.
SubstitutionYou can evaluate the unknown expression by making substitutions until you can't anymore.
AB = (BC)(B) . . . . . . . . substitute BC for A
AB = ((x)(yz))(x) . . . . . . substitute x for B (2 places), yz for C
AB = xyzx . . . . . . . . . . remove the unnecessary parentheses
How do I write A number is equal to twice the sum of the same answer and ten write as an equation that matches the verbal sentence
The number that fits in the given situation is -20.
What exactly are equations?An equation, in its most basic form, is a mathematical statement that shows that multiple mathematical expressions are equal.For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions detached by a 'equal' sign.Now,
Let us suppose the number is x.
The sum of the same number and ten will be written as x + 10.As a result, the next condition is twice the sum, which can be written as:
2 × (x + 10)As a result of the condition, we can write the equation as:
x= 2 × ( x + 10 ) or 2x + 20 = xSolve for x: x = 2x + 20
2x + 20 = xTaking 20 off both sides:
2x + 20 - 20 = x - 20 2x = x- 20 2x - x = -20 x = -20Therefore, the number that fits in the given situation is -20.
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The sum of 2 integers is 7 and the sum of their squares is 37 what is the integers
Answer:
[tex]1[/tex] and [tex]6[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denote one of the integers. Since the two integers add up to [tex]7[/tex], the other integer would be [tex](7 - x)[/tex].
The sum of the squares of these integers is [tex]37[/tex]. In other words:
[tex]x^{2} + (7 - x)^{2} = 37[/tex].
Expand [tex](7 - x)^{2}[/tex] using binomial expansion. Simplify and rewrite this equation and solve for [tex]x[/tex].
[tex]2\, x^{2} - 14\, x + 12 = 0[/tex].
[tex]x^{2} - 7\, x + 6 = 0[/tex].
Using the quadratic formula or factorization, [tex]x = 1[/tex] or [tex]x = 6[/tex]. Thus, the two integers are [tex]1[/tex] and [tex]6[/tex].
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 1'10 1/2". what total length will she need if she is planning on making four chairs?
The total length will she need if she is planning on making four chairs is 42 inches.
How to calculate the value?It should be noted that the chair calls for six pieces that are 10 1/2" , therefore, the total length will she need if she is planning on making four chairs will be:
= 10 1/2 × 4
= 10.5 × 4
= 42 inches.
The total length is 42 inches.
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Complete question
laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 10 1/2". what total length will she need if she is planning on making four chairs?
Please help due today
Sarah bought a drink for $4 and bought 8 candy bars. She spent a total of 44 dollars. How much did each candy bar cost?
Answer: $5 for each candy bar.
Step-by-step explanation: Sarah bought a drink for $4 so, $44-$4=$40(leftover), now she bought 8 candy bars for $40:8=$5 (each candy bar cost)
HELPP PLSSSSSSSSSS i would really appreciate it
Applying exponential properties, we have that the solution to the given expression is:
[tex]-\frac{125}{343}[/tex]
How do we proceed when a fraction is elevated to the exponent?When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.
In this problem, we have that:
The numerator is of 5, hence 5³ = 125.The denominator is of 7, hence 7³ = 343.Negative base with odd exponent, hence the solution is negative and given as follows:
[tex]-\frac{125}{343}[/tex]
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PLEASE HELP
later Paul drew 2 solid figures and 5 plain figures. in his drawing what was the ratio of solid figures to plain figures
Answer:
2:5
Step-by-step explanation:
WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0, 9)? Enter your equation in the box.
Answer:
y = 6x + 9
Step-by-step explanation:
parallel lines have equal gradients.
y - y1 = m(x -x1)
since the lines are parallel your m = 6.
y - y1 = 6(x - x1)
(x1 ; y1) is given (0 ; 9)
y - 9 = 6 (x -0)
y = 6x + 9
Write the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4)
The slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]
We know that the slope-intercept form of the line is y = mx + c, where m is the slope of the line and c is the y-intercept of the line.
For given question we have been given two points (-2,5) and (6,-4)
We need to find the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4).
Using two-point form the equation of the line is,
[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex]
Let (x1, y1) = (-2,5) and (x2, y2) = (6,-4)
So, the equation of the line is,
[tex]\frac{y-5}{-4-5} =\frac{x-(-2)}{6-(-2)}\\\\ \frac{y-5}{-9} =\frac{x+2}{6+2}\\\\\frac{y-5}{-9} =\frac{x+2}{8}\\\\ 8(y-5)=-9(x+2)\\\\8y-40=-9x-18\\\\8y=-9x-18+40\\\\8y=-9x+22\\\\y=-\frac{9}{8}x+\frac{11}{4}[/tex]
above equation is in the slope-intercept form.
Therefore, the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]
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