Simplify by combining like terms. Write the answer with the variables in alphabetical order and any constant term last.
a+ ab^3 + ab^3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. a+ ab^3 + ab^3 simplifies to [ ]
O B. The expression cannot be simplified.
a+ ab³ + ab³ simplifies to 2ab³+a.
For simplifying the terms first we have to add Like Terms.
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
In Algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
So hence we will add ab³ + ab³= 2ab³
For any given term, we almost always list the variables in alphabetical order and any constant terms last — this is helpful in identifying common terms, a topic discussed in the next section. So, for example, it is simply not cool to write 15yx, 15 y x , we want to stay alphabetical and write 15xy. Exponents play no role in this decision.
Therefore a+ ab³ + ab³ simplifies to 2ab³+a.
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Solve
each of the following equations. Show its solution set on a number line. Check a
your answers.
|5x |=3
Find the measure of the missing angle.
42°
Guys pls help solve 8i. I have a huge test tomorrow
Also pls show full working out bc yeah
Answer:
7/8
Step-by-step explanation:
This is a counting exercise. Think of the 200 persons that you have to separate into two groups:
1) A group that satisfies the condition of the question
2) A group that does not satisfy the condition
Then, count how many persons are in group 1, and divide that by the total (200). That is your probability.
For (i), you will find 175 persons in group 1. Even though there are many persons with not blue AND not fair hair, they are only in the group once, so don't count them double.
Then 175/200 = 7/8
In fact, you could reverse the question by counting how many people do not satisfy the condition. That group are the persons that have both blue eyes and fair hair. That is the only way to not satisfy the condition. That amount is 25, you can read it from the table.
The chance of being in that group is 25/200 = 1/8.
P(group 1) + P(group 2) = 1
So you now have two ways of getting your answer.
P(group 1) = 1 - 1/8 = 7/8.
. The expression 3x+1 is equal to 9 for a certain value of x. Which of the following is the value of the
expression 12x+4 for the same value of x?
(1) 18
(3) 36
(2) 28
(4) 112
Answer:
(3) 36
Step-by-step explanation:
3x + 1 = 9
Minus 1 from both sides.
3x = 8
Divide both sides by 3.
x = 2 2/3
Plug it in.
12 (2 2/3) + 4
32 + 4
36
Which operation should be used to solve x + 7 = 19?
Answer:
-7
Step-by-step explanation:
If you use -7 the LHS will get cancelled.
x + 7 = 19
or, x + 7 - 7 = 19 - 7
or, x = 12
One. Hundred deer were released into a wildlife preserve. The population of deer over a certain number of years is shown.
(Picture for table included)
The polynomial equation that models these data is P(x)=2x^4+46x^2+100
After how many years does the deer population decline to zero?
A. 4
B. 3
C. 6
D. 5
Answer:
5 years. Correct answer is D.
Step-by-step explanation:
why is this so got dam fake
Answer:
Not sure, is there a problem or only the rant? lol. I'd appreciate my first brainliest though.
Step-by-step explanation:
Simplify the expression -6y - 7y
Answer:
-13y
Step-by-step explanation:
Since this expression has the same coefficient, all you have to do is solve -6-7. Just follow the keep change change rule when subtracting negative numbers so -6 + -7 = -13. Therefore, your answer will be -13y.
Let me know if you do not understand or need more explanation.
The maximum of a function is the highest point on a graph (identified as an ordered pair). For the function below, what is the x-value of its maximum.
For the graphed parabola we can see that the maximum is at (3, 2), then the x-value is x = 3.
What is the x-value of the maximum?For a function f(x), we define the maximum as a value y = f(x₀), such that:
f(x₀) ≥ f(x) for every value in the domain.
In the case of the graph is really easy to identify the maximum, in this case, it is in the vertex of the parabola.
We can see that the maximum is on the point (3, 2)
Then it is at x = 3, y = 2, from that, we can see that the x-value of the graphed function is x = 3.
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Evaluate the expression for the given values of the variables.
-k²-(4k - 7n) + 3n; k= -2 and n=-5
For k = -2 and n=-5, -k²-(4k-7n) + 3n=
(Simplify your answer.)
the answer for given expression is 54
How do you define expression in math?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
the given expression is
[tex]-k^2 - (4k-7n)+3n\\-k^2 -4k +7n+3n\\put k = -2 and n=5\\-( -2)^2 - 4(-2) + 10 *5\\-4 +8+50\\54the answer for given expression is 54[/tex]
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Points on the coordinate plane
Point N is graphed on the coordinate plane.
-5-2
is
OF
Write the coordinates of point N.
If we reflect the point (-5,2) (five, -two) over the x-axis (line of symmetry) the reflected point is (-5,-2). If we reflect the point (-5,2) (five, - two) over the y-axis (line of symmetry) the reflected point is (5,2).
What are the x-axis, and y-axis?
The vertical axis is generally called the x-axis. The perpendicular axis is generally called the y- axis. The point where the x- and y- axis intersect is called the origin. The x-axis is generally the vertical axis, while the y- axis is the perpendicular axis. They're represented by two number lines that cross perpendicularly at the origin, located at( 0, 0). The x-axis is also called the abscissa and the y- axis is called the ordinate.
The point (-5,2) is plotted as red in the picture attached.
To reflect a point over the x(ax)-axis, the x(ax) value must be the same and the y value must be the opposite.
To reflect a point over the x(ax)-axis, the y(y) value must be the same and the x(ax) value must be the opposite.
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I am not understanding
After his first month he had more than he expected to have due to interest the bank provided. this let rob come up with a better expression. where w is the number of weeks. how much will he have in 1 year?
He will earn 2603.16 dollar in one year.
What is expression?An expression is a collection of terms that have been joined together using the operations +, -, or x, such as 4 x 3 or x 2 - x y + 17.
Two expressions are said to be equal in value by an equation, such as 4 b 2 = 6.
Given:
A copy of the entire query is provided below:
45w+ 155
He will therefore save
=45*6+155
=270+155 =425 dollars
so, w=6.
Knowing that a year equals 52 weeks
Also,
w=52 and
w²/25+45w+155
Thus,
=52*52/25+45*52+155
=108.1602340+155
= $263.16
Hence, he will make $2603.16 in a year.
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BD bisects
Find m
ABC= 25x+34
CBD = 11x+23
The measure of angles are
i) Angle ABD = 67°
ii) Angle CBD = 67°
iii) Angle ABC = 134°
We have been given that ray BD bisects angle ABC and also
Angle ABC = (25x+34)°
Angle CBD = (11x + 23)°
Note that angle ABC = angle ABD + angle CBD (1)
And angle ABD = angle CBD = (11x + 23)° as it is bisected into two equal half.
Therefore putting the required values of angle in equation (1) we get
(25x+34)° = 2(11x+23)°
25x+34 = 22x+46
25x – 22x = 46 – 34
3x = 12
x = 4
Hence, angle ABD = (11*4 + 23) ° = 44+23 = 67°
Angle CBD = (11*4 + 23) ° = 44+23 = 67°
angle ABC = (25*4 + 34)° = 100+34 = 134°
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What is the value of the quantity negative one sixth cubed all raised to the power of negative 3?
10,077,696
1
−1
−10,077,696
The value of the expression is −10,077,696
How to evaluate the expression?The expression is given as:
negative one sixth cubed all raised to the power of negative 3?
Rewrite properly as:
(-1/6^3)^-3
Evaluate the exponent of 6 to 3
So, we have:
(-1/216)^-3
Apply the law of negative exponent
So, we have
(-216)^3
Evaluate the exponent
−10,077,696
Hence, the value of the expression is −10,077,696
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2
Given f(x)=x²-3x - 23 and
g(x)=x-1, find (fog)(x).
The required function is (fog)(x) = x^2 – 5x – 19
We have been given two functions which are:
f(x) = x^2 – 3x – 23
g(x) = x – 1
We need to find (fog)(x) which is also equal to f(g(x)).
In this, we have to replace x with the function g(x) in the function, f(x). numerically
f(g(x)) = g(x)^2 – 3g(x) – 23
Now we will write the value of g(x) in the above equation. We will get
f(g(x)) = (x-1)^2 – 3(x-1) – 23
f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23
f(g(x)) = x^2 – 5x – 19
Hence (fog)(x) = x^2 – 5x – 19 is the required function.
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Rewrite the equation below so that it does not have fractions.
2/3x+4=2/5
do not use decimals in your answer.
The rewritten form of the equation as given in the task content such that it has no fraction is; 10x + 60 = 6.
In order words, when the equation " 2/3x+4=2/5" is rewritten such that it does not have fractions, it is rewritten as 10x + 60 = 6.
What is the rewritten form of the equation such that it has no fractions?It follows from the task content that the equation given be rewritten such that it has no fraction.
Given:
(2/3)x + 4 = 2/5
Hence, we multiply all terms in the equation by the lowest common multiple of 3 and 5.
Multiply both sides by 15 so that we have;
10x + 60 = 6.
Ultimately, the rewritten form is as indicated above.
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what is the gcf for 24 36 and 50?
Answer:
2
Step-by-step explanation:
Because 2 goes into 24, 36 and 50.
The difference of a number squared and 6
The algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the algebraic expression of the mathematical statement?The mathematical statement is given as
The difference of a number squared and 6
Represent the number with x
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x squared and 6
x squared implies x^2
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x^2 and 6
difference means minus (-)
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ x^2 - 6
Hence, the algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
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What is the midpoint of line segment AB? if a is -1,3 and b 5.-7
The midpoint of line segment AB is (2, 5)
What is the midpoint of line segment AB?The coordinates are given as:
A= (-1,3)
B = (5.-7)
The midpoint of line segment AB is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-1 + 5, 3 + 7)
Evaluate
Midpoint = (2, 5)
Hence, the midpoint of line segment AB is (2, 5)
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Alyssa spent 365 hours commuting on the train over the course of 54 days.if she rode the same amount of time per day , approximately how many hours did she spend on the train per day.
Approximately 6.8 hours Alyssa spends on the train per day.
Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.
We need to find the number of did Alyssa spend on the train per day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of hours Alyssa spends on the train per day be x.
Now, x=365/54
=6.759≈6.8 hours
Therefore, approximately 6.8 hours Alyssa spends on the train per day.
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A power company calculates a person's monthly bill from the number of
kilowatt-hours (kwh), x, used.
the function b(x)
The bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.
The given functions are
b(x) = 0.15x; x ≤ 360
b(x) = 0.10(x - 360) + 54; x > 360
What is the function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.
For a person who uses 560 kWh, it means that:
x > 360
So, we use the following function to determine the bill
b(x) = 0.10(x - 360) + 54
Substitute 560 for x
b(560) = 0.10(560 - 360) + 54
⇒b(560) = 74
Hence, the bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.
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Your question is incomplete, probably the complete question/missing part is:
A power company calculates a person's monthly bill from the number of kilowatt-hours ( Nh), x, used. The function b(x)= 0.15x, and x≤360. 0.10(x-360)+54, and x>360 determines the bill. How much is the bill for a person who uses 560 kWh in a month? A. $84 B. $54. $64 D. $74.
(-3,4), (2, y); m=5
Answer:
I think y is 29
Step-by-step explanation:
It's what the results gave me
help!! struggling with geometry and work is due tmrw
Answer:
SK: 32
Step-by-step explanation:
Subtract SY - KY to find SK
45 - 13 = 32
Write and simplify an expression for the ratio of the volume of the cylindrical tank to its surface area (including the bases).
The ratio of the volume of the cylindrical tank to its surface area will be r / 2.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
Let r be the radius and h be the height of the cylinder.
Then the volume of the cylinder will be
V = π r²h cubic units
Then the surface area of the cylinder will be
SA = 2πrh square units
Then the ratio of the volume of the cylindrical tank to its surface area will be
V / SA = π r²h / 2πrh
V / SA = r / 2
The ratio of the volume of the cylindrical tank to its surface area will be r / 2.
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Find the volume of the solid.
Answer:
Mushroom is a friends as as well as a foe give reason for the value of a and shss sag ni khana banaun lako I think it is a friends as as well as a foe give reason for the value of a and the value for money and the value of a and the value for money and the value for money and the value for money and the value.
Step-by-step explanation:
Mushroom is a friends as as well as a result in Nepal and bhailo essay writing about deusi and the value of x of a and the value of x of the following figure of a mushroom the value of a and the value of x of the following figure of a mushroom the value of x of the following a foe give reason for the value of x of the following figure out of the following figure of x of the value of a and the value for money and the value of a and the value of a and the value for money and the value for money and the value of a and the value for money and the value for money and the value for money to start a and the value of a and the value for money to start a and the value for money and the value for money and the value.K garde Khana khani I think. Um tani twvarkhar kam garxu bye badar vanar karako ni khana ko captain America and the value for money and the value for money and
WILL GIVE BRAINLIEST!!!!!
Use the Segment Addition Postulate to solve the problem below.
Point B is the midpoint of line segment AC.
line segment AC = 5
line segment AB = 3x – 5
Part A - Draw line segment AC, clearly labeling ALL points and ALL measures given above.
Part B - Find the value of x, showing ALL work. This may be typed or handwritten>
The value of x from the given line segment is 1 2/3.
Given that, line segment AC = 5 and line segment AB = 3x - 5.
We need to find the value of x.
What is the line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Since point B is the midpoint of the line segment AC.
AB=BC=3x - 5
Now, AC=AB+BC
⇒5=3x - 5+3x - 5
⇒6x=15
⇒x=15/6
⇒x= 5/3
⇒x=1 2/3
Therefore, the value of x from the given line segment is 1 2/3.
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Which graph represents the equation y=34x−3?
Answer:
The graph in the top right hand corner.
Hope this helps :)
Step-by-step explanation:
The formula y = mx + b
shows that m is the slope and b is the y-intercept.
m = 34
b = - 3
So to find the equation of the graph I looked at the y-intercept which is -3 and the graph in the right hand corner has a y-inyercept of -3 so that graph represents the equation y = 34x - 3
Reason:
The equation is y = (3/4)x - 3 which is in y = mx+b form
m = slope = 3/4
b = -3 = y intercept
The y intercept of -3 means the point (0,-3) is on the line. Start at this point and go up 3, then to the right 4 to arrive at (4,0) which is the x intercept. The motion "up 3, right 4" is directly from the slope 3/4
slope = rise/run = 3/4
rise = 3 = go up 3
run = 4 = go right 4
 Given: Segment AB & "congruent to" Line Segment AC. AB = 5x + 18, BC =7, Perimeter of ABC (triangle ) = 53. Find the value of x and length of AC.
Answer: x=1, AC=23
Step-by-step explanation:
ABC=AB+AC+BC
53=5x+18+5x+18+7
53=10x+36+7
53=10x+43
10x=10
x=1
AC=5x+18
AC=5(1)+18
AC=23