The value of x if U is between T and V is -7/3
How to determine the value of x?The given parameters are:
U is between T and V,
TU = 7x + 35
UV = 4(x + 7)
TU ≅ UV
The above means that
7x + 35 = 4(x + 7)
Open the brackets
7x + 35 = 4x + 28
Evaluate the like terms
3x = -7
Divide both sides by 3
x = -7/3
Hence, the value of x if U is between T and V is -7/3
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If w # 0, what is the additive inverse of the
expression below?
A. -3w
B.-w/3
C. 3w
D. 3/w
The additive inverse of the expression -3/w is 3/w
How to determine the additive inverse?The expression is given as:
-3/w
The law of additive inverse states that
For an expression x, the additive inverse is -x
This means that the additive inverse of the expression -3/w is 3/w
Hence, the additive inverse of the expression -3/w is 3/w
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If w≠0, what is the additive inverse of the expression below? -3/w
Math question please help ASAP
Please check the image attached aside to see the representation of the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.
What is the graphic representation of a system formed by two inequalities
In this question we have a system formed by two inequalities represented by linear expressions in implicit form. Now we proceed to rewritte the system into explicit form:
y ≥ (200 - 4 · x) / 6 (1)
y < 75 - x (2)
Then, the solution set of the point is represented by an area below the function (2) and equal and greater to the function (1). Finally, we proceed to graph the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.
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Vera uploaded a hilarious video of a squirrel to a funny videos website. It was viewed 320320320 times on the first day. Each day since then, the number of views was 25\%25%25, percent more than the day before.
Let f(n)f(n)f, left parenthesis, n, right parenthesis be the number of views Vera's video got on the n^\text{th}n
th
n, start superscript, start text, t, h, end text, end superscript day since she uploaded it.
fff is a sequence. What kind of sequence is it?
Solution : [tex]F(n)= (320) 1.25^{n-1}[/tex]
In Maths, Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern. Also, learn arithmetic progression here. The common ratio multiplied here to each term to get a next term is a non-zero number. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.
A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) by the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
Note: It is to be noted that when we divide any succeeding term from its preceding term, then we get the value equal to the common ratio.
Suppose we divide the 3rd term by the 2nd term we get:
ar2/ar = r
In the same way:
ar3/ar2 = r
ar4/ar3 = r
General Form of Geometric Progression
The general form of Geometric Progression is:
a, ar, ar2, ar3, ar4,…, arn-1
Where,
a = First term
r = common ratio
ar^(n-1) = nth term
On the first day, the video was viewed = 320 times.
the number of views was 25% more than the day before which means increasing 1.25 per day.
G.P.
Where common ratio r = 1.25
First term = f(1) = 320
The formula of nth term in G.P. =
[tex]F(n)= f(1) r^{n-1}[/tex]
So, nth term of the given situation :
[tex]F(n)= (320) 1.25^{n-1}[/tex]
Where f(n) denotes the number of views on an nth day.
[tex]F(n)= (320) 1.25^{n-1}[/tex]
So, the number of views Vera's video got on an nth day =
[tex]F(n)= (320) 1.25^{n-1}[/tex]
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Write the following as an algebraic expression. Then simplify.
The total amount of money (in cents) in x quarters, (x+2) dimes, and 2x nickels. (Hint: The value of a quarter is 25 cents, the value of a dime is 10 cents, and the value of a nickel is 5 cents.)
HELP PLEASEEE !
The algebraic expression that represents the total amount of money in terms of x is:
y = 45*x + 20
How to write the algebraic expression?Here we want to find the total value (in cents) of:
x quarters.x + 2 dimes2x nickels.The total value will be given by the linear equation:
y = x*25 + (x + 2)*10 + (2x)*5
Where y represents the total value in cents.
Now we can simplify that equation to get:
y = x*25 + (x + 2)*10 + (2x)*5
y = x*25 + x*10 + 20 + x*10
y = 45*x + 20
This is the algebraic expression we wanted to get.
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Example 1 ans needed
We are given a linear function:
f(x) = 2 x + 3
We are also given the domain of the function as:
Domain = (-4, 5)
We need to find the range of the function and draw its graph.
For x = -4, the value of function will be:
f( -4) = 2 (-4) + 3
f( -4) = - 8 + 3
f( -4) = - 5
For x = 5, the value of function will be:
f( 5) = 2 (5) + 3
f( 5) = 10 + 3
f( 5) = 13
So, the range will become:
( -5, 13)
The graph of the function with points:
x y
1 5
2 7
3 9
Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).
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someone help me on this one
Answer:
I think the answer is B.
Step-by-step explanation:
Hope this helps!
can someone derive f(x) = x using first principles method. Like I know the answer is 1 and can do it by power rule but i cannot get that answer for the life of me using first principles method.
fyi first principles function is in the pic
The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.
How to find the derivative of function f(x) by the definition?The derivative is given by:
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]
For this problem, we have that:
f(x) = x.f(x + h) = x + h.Hence:
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]
[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]
The limit of a constant is the constant, hence f'(x) = 1.
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What is the line called that intersects lines l and m in the picture above?
(Click document to see image.)
Answer: It's just a line
Step-by-step explanation:
Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates
Answer:
The equation would be:
58 times 65
The answer:
3,770
Step-by-step explanation:
Plytage-22-23
Examining Intervals in a Table of Values
Which table shows a function that is decreasing over the interval (-2, 0)?
f(x)
f(x)
0
-15
-5
-5
-20
-30
X
-2
-1
0
1
Intro
0
5
X
-2
0
2
4
X
-3
-2
-1
0
f(x)
2
0
-10
-24
Done
English
Answer:
the third one (the outmost right)
Step-by-step explanation:
the first one goes from -2 to 0 through functional values of 0, down to -5, and then back up to 0. so, it does NOT go down between -2 and 0.
the second one goes from -2 to 0 through the functional values of -15 up to -5. so, it goes UP in that interval.
and the third one goes from -2 to 0 through the functional values of 0 down to -10 and then further down to -24. so, this one is truly decreasing in that interval.
y = 6x – b
–3x + StartFraction one-half EndFractiony = –3
b =
2
4
6
8
help please the question is in the picture need done ASAP will give brainilist
For the given system of inequalities, x represents the number of brownies and y the number of cookies.
And the graph can be seen in the image below.
What each variable represents?Here we have the system of inequalities:
4x + 6y ≥ 200
x + y < 75.
We know that they want to make less than 75 items, that is what the second inequality:
x + y < 75.
Represents.
We also know that each brownie costs $4, and each cookie costs $6, then the expression:
x*4 + y*6
Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:
x*4 + y*6 ≥ 200
So we conclude that x represents the number of brownies and y the number of cookies.
Now the system is:
4x + 6y ≥ 200
x + y < 75.
To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:
y ≥ (200 - 4x)/6
y < 75 + x
Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.
The solutions to the systems are in the region where both shaded parts intersect.
There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.
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Compare √5 and 3.1. Which one is greater
Answer:√5
Step-by-step explanation:
√5 = 2.23...
Answer:
3.1
Step-by-step explanation:
Square root means what number multiplied by another equals the number you need to square (2 then 2nd square root button on calculator.
square root of 5 is 2.2360679775 and 3.1 is greater so 2.2360679775<3.1
Give the number of terms in the algebraic expression and also give the numerical coefficient of the second term.
-3 a + 30b
Answer:
2 termssecond coefficient: 30Step-by-step explanation:
You want the number of terms and the second coefficient in the expression ...
-3a +30b
TermsIn a simplified polynomial expressed as a sum of products, each of the products is a "term." This expression has two terms:
-3a30bThe sign separating terms in the sum is generally considered to be part of the following term. If this were written 30b -3a, one of the terms would still be -3a.
CoefficientIf each variable value is set to 1 in a term of a polynomial expression, the resulting value is the coefficient of that term. In general, this will be the numerical multiplier of the variables.
30b = 30(1) = 30 . . . . . when b=1
The coefficient of the second term is 30.
Point F is on line segment EG. Given EG = 12 and FG = 8, determine the length
EF.
Given that Point F is on line segment EG, the Length of segment EF is 4.
What is the numerical length of segment EF?A line segment is simply part of the line that connects 2 points.
Given the data in the question;
Point F is on line segment EGSegment EG = 12Segment FG = 8Length of segment EFSince Point F is on line segment EG, length of segment EG equals the sum of length of segment EF and length of segment FG.
Length of segment EG = Length of segment EF + Length of segment FG
Hence;
12 = Length of segment EF + 8
Subtract 8 from both sides and simplify
12 - 8 = Length of segment EF + 8 - 8
12 - 8 = Length of segment EF
4 = Length of segment EF
Length of segment EF = 4
Given that Point F is on line segment EG, the Length of segment EF is 4.
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describe a real-life situation that could be represented by the expression 3+2x6
Answer:
"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"
Please explain Y is the midpoint of line segment XZ
Answer:
d
Step-by-step explanation:
(1,8) is the coordinates of midpoint so ×2 and - one of the x z is ok
1×2 -(-10) = 12
8×2-(-12) = 28
Huilan is 11 years younger than Thomas. The sum of their ages is 31. What is Thomas's age?
years old
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Huilan: x-11
Thomas: x(Assume)
Their Sum = 31
Huilan+Thomas = 31 ...(1)
Possible Equation: x+x-11= 31 ...(2)
Solved:
2x-11= 31
2x = 31+11
x = 42/2
x = 21
Therefore, Thomas' Age is 21.
how many 3 fourths can you cut from a 6 in a half ft ribbon? explain
Answer:Half of 51/8 is 51/16 (you multiply 51/8 by 1/2 and that is your answer.)
Now back to mixed number
51/16 = 3 3/16
So final answer is 3 3/16.
Step-by-step explanation:
To find half of 6 3/8.
6 3/8 is a mixed number.
First will change into fraction.
6 3/8 = ((8*6)+3)/8 = 51/8
(Convert the mixed number 6 3/8 into an improper fraction first by multiplying the denominator (8) by the whole number part (6) and add the numerator (3) to get the new numerator. Place the new numerator (51) over the old denominator (8).)
SOMEBODY PLEASE HELP HOLY SH1T WHAT DO I CIRLCE
Answer:
1. p, 7p, -4p, and 5p
2.2uv to the second power, and uv to the second power
Step-by-step explanation:
(+3)-(-2)=
(-3)-(+2)=
(-2)-(+3)=
(-2)-(-3)=
(+2)-(-3)=
Answer:
1. +5
2.-5
3.-5
4.+1
5.+5
Answer: 1.) 5 2.) -1 3.)-5 4.)1 5.)5
Step-by-step explanation:
3x - 7x-16 = - 4x + 5 - 16
Answer:
no solution
Step-by-step explanation:
3x - 7x - 16 = -4x + 5 - 16
combine like terms
-4x - 16 = -4x - 11
move the terms with variables to one side and constants to the other
add 4x to move it
-4x + 4x = 0
-16 = - 11
this is not possible so there is no solution
Answer:
0=5
Step-by-step explanation:
3x - 7x - 4x + 5 - 16
-4x - 16 = -4x + 5 -16
-4x - 16 = -4x -11
-4x -16 + 16 = -4x - 11 + 16
-4x = -4x + 5
-4x + -4x = -4x + 5 + 4x
combine like terms
repeat that
0 = 5
please correct me if I'm wrong
Write an algebraic expression for the length of QR
The algebraic expression for the length of QR is 5y+20.
Given that The algebraic expression for the length of PR is 13y+25 , The algebraic expression for the length of PQ is 8y+5 and asked to find The algebraic expression for the length of QR.
The algebraic expression for the length of PR is 13y+25
PR=PQ+QR
⇒The algebraic expression for the length of PR =The algebraic expression for the length of PQ + The algebraic expression for the length of QR
QR=PR-PQ
⇒The algebraic expression for the length of QR=The algebraic expression for the length of PR - The algebraic expression for the length of PQ
⇒The algebraic expression for the length of QR=13y+25 - 8y+5
⇒The algebraic expression for the length of QR=5y+20
Therefore,The algebraic expression for the length of QR is 5y+20.
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Megan cuts pieces of colored felt to
create a logo of a sun behind a
mountain peak. Determine the
approximate total amount of felt used
in the logo.
The approximate total amount of felt used in the logo is 334.34 square cm
How to determine the approximate total amount of felt used in the logo?We have the following parameters on the logo:
Shapes = Semicircle and Triangle
Where
Semicircle:
Diameter = 18 cm
Triangle
Base = 16 cm
Height = 10 cm
The approximate total amount of felt used in the logo is calculated as
Amount = Area of semi-circle + Area of triangle
This gives
Amount = π(d/2)^2 + 0.5bh
So, we have
Amount = 3.14 * (18/2)^2 + 0.5 * 16 * 10
Evaluate
Amount = 334.34
Hence, the approximate total amount of felt used in the logo is 334.34 square cm
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Given P||Q and T is a transversal, which of the
following justifies <1 = 25?
A Corresponding Angles Postulate
B. Alternate Interior Angles Theorem
c. Consecutive Interior Angles Theorem
D. Alternate Exterior Angles Theorem
If P||Q and T is a transversal, then ∠1=∠5 can be justified through Corresponding angle postulate. Thus, correct option is option A.
The Corresponding angle postulate states that if two lines are drawn on plane which are parallel to each other and dissected by a line passing through them at any angle then the corresponding angle of both the parallel lines will be equal to each other and hence would be congruent.
Here, P||Q and P and Q are dissected by the line T at some angle therefore to prove that ∠1=∠5 we go by the following steps:
∠4=∠5 as they are alternate interior angles.
and ∠1=∠4 as they are vertically opposite angles.
Thus, ∠1=∠5 and they are corresponding angles.
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Answer:A is the answer
Step-by-step explanation: I took the test and got it right!
Simplify the expression
Answer:
Step-by-step explanation:
Factor out 2 of 12: (2(6x)-6)/2
Factor out 2 of -6: (2(6x)+2*-3)/2
.......
Final = 6x-3
three times the number which is two less than x is nine
The expression of the mathematical statement is 3y - 2 + x = 9
How to determine the expression?The mathematical statement is given as
Three times the number which is two less than x is nine
Let the number be y
So, we have
Three times y which is two less than x is nine
Express as an equation
Three times y which is two less than x = 9
Represent the statements as an expression
So, we have
3y - 2 + x = 9
Hence, the expression of the mathematical statement is 3y - 2 + x = 9
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the line y = 3x + 4 and y = ax + 2 are parallel if a=
Answer:
a =3
Step-by-step explanation:
The number before the x is the slope. Parallel lines have the same slope.
Answer:
Step-by-step explanation:
The length of a rectangle is 6 mi. less than 2 times the width. If the perimeter of the rectangle is 54 mi., find the length and the width.
(Hint - The perimeter of a rectangle is given by: P=2L+2W )
Do the shapes with the same volume always have the same surface area?
Answer:
No.
Step-by-step explanation:
They can't have the same surface area, because the surface area is a 2-dimensional measure of a 3-dimensional object(for the most part), while the volume is 3-dimensional, so they would not share the same surface area due to them being mostly different structures despite having the same amount of cubic units.
➲ Hope this helps. Address concerns if needed.