Answers
Answer:
2 pi/3
Step-by-step explanation:
Step 1: Know the Equation of a Trig Function
[tex]y = a \sin(b(x - c)) + d[/tex]
where |a| is the amplitude
The period is
[tex] \frac{2\pi}{ |b| } [/tex]
The phase shift is c.
Vertical shift is d.
So first, identity b. Here b is the 3.
So use the formula for a period.
Step 2: Computation.
[tex] \frac{2\pi}{ |b| } = \frac{2\pi}{3} [/tex]
So the period is 2 pi/3
What does this mean?
This means every 2 pi/3, the function will repeat itself. which is called oscillation.
Related Questions
If each cube in the rectangular prism measures 1 cubic centimeter, what is the volume of the prism?
Answers
Answer:
C) 16 cubic cm
Step-by-step explanation:
1 cubic cm / cube
4 x 2 x 2 on each side = 16 cubes
16 cubic cm
Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover
the box?
14 in
4 in
12 in
Answers
14 + 4 +12 = 30 which means that the answer is 30 so here you go
What is the surface area of this figure? Enter your answer in the box. ft² Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 15 ft and 5 ft. The height of the rectangular prism is labeled 8 ft. The triangular base has an altitude drawn and labeled 7 ft. The sides of the triangle are labeled 9 ft, 9 ft, and 11 ft. The height of the triangular prism is 5 ft.
Answers
Answer:
a = side length a
b = side length b = bottom triangle base b
c = side length c
h = height of prism
H = height of bottom triangle
V = volume
Atot = total surface area = all sides
Alat = lateral surface area = all rectangular sides
Atop = top surface area = top triangle
Abot = bottom surface area = bottom triangle
A triangular prism is a geometric solid shape with a triangle as its base. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles.
Calculator Use
This calculator finds the volume, surface area and height of a triangular prism. Surface area calculations include top, bottom, lateral sides and total surface area. Height is calculated from known volume or lateral surface area.
Units: Units are shown for convenience but do not affect calculations. Answers will be the same whether in feet, ft2, ft3, or meters, m2, m3, or any other unit measure.
Significant Figures: Choose the number of significant figures or leave on auto to let the calculator determine number precision.
Triangular Prism Formulas in terms of height and triangle side lengths a, b and c:
Volume of a Triangular Prism Formula
Finds the 3-dimensional space occupied by a triangular prism.
V=14h(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√
Top Surface Area of a Triangular Prism Formula
Finds the area contained by the triangular surface at the top of the prism. This is the same area as the bottom surface area.
Atop=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√
Bottom Surface Area of a Triangular Prism Formula
Finds the area contained by the triangular surface at the bottom of the prism. This is the same area as the top surface area.
Abot=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√
Lateral Surface Area of a Triangular Prism Formula
Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.
Alat=h(a+b+c)
Total Surface Area of a Triangular Prism Formula
Finds the total area of all sides of a triangular prism. Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Atot=Atop+Abot+Alat
Step-by-step explanation:
Height of a Triangular Prism Formula in Terms of Volume
Finds the height of a triangular prism by solving the Volume Formula for height. Height, h, is calculated from volume, V, and side lengths a, b and c.
h=4V÷[(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√]
Height of a Triangular Prism Formula in Terms of Lateral Surface Area
Finds the height of a triangular prism by solving the Lateral Surface Area Formula for height. Height, h, is calculated from lateral surface area, Alat, and side lengths a, b and c.
h=Alat(a+b+c)
#jerry Don is here#
The surface area of this figure will be 540 square feet.
What is the area?Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
A complex solid made out of triangular and rectangular prisms. The triangular prism is centered on the rectangular prism's top.
The surface area of the shape is given as,
SA = 2(15 x 8 + 8 x 5) + 15 x 5 + 11 x 5 + 9 x 5 + 9 x 5
SA = 2(120 + 40) + 75 + 55 + 45 + 45
SA = 2 x 160 + 220
SA = 320 + 220
SA = 540 square feet
The surface area of this figure will be 540 square feet.
More about the area link is given below.
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The missing figure is attached below.
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
ty! :)
Answers
Answer:
x^2-5x+6=0
By splitting the middle term
x^2-3x-2x+6=0
x(x-3)-2(x-3)=0
(x-2)(x-3)=0
so, roots are x=2or3.
Hope this helps uhh!!!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2 - 5x + 6 = 0}\\\\\large\text{FACTOR the LEFT SIDE of THE EQUATION}\\\\\mathsf{(x - 2)(x - 3) = 0}\\\\\large\text{SET the FACTORS to EQUAL to 0}\\\\\mathsf{x - 2 = 0\ or\ x - 3 = 0}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x = 2\ or\ x = 3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 2\ or\ x = 3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]three friends are selling items at a bake sale.may makes $23.25 selling bread inez sells gift baskets and makes 100 times as much as may . jo sells pies and makes one tenth of the money inez makes how much money does each friend make?
Answers
Answer:
May makes $23.25, Inez makes $2325, and Jo makes $232.50.
Step-by-step explanation:
Inez makes 100x 23.25= 2325
jo makes 2325/10=232.5
175.5 — 12.7 =
PLEASE HELP
Answers
Answer:
175.5-12.7=162.8
Answer:
I got you just plz rate a five star and Thanks Your answer sir is 162.8
Step-by-step explanation:
find the square roots of 36 + 36sqrt3i
Answers
Answer:
[tex]3\sqrt{6}+3\sqrt{2}i[/tex] and [tex]-3\sqrt{6}-3\sqrt{2}i[/tex]
Step-by-step explanation:
For a complex number [tex]z=a+bi[/tex] in rectangular form, polar form is [tex]z=r[cos(\theta)+isin(\theta)][/tex] where [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\theta=tan^{-1}(\frac{b}{a})[/tex]:
[tex]r=\sqrt{a^2+b^2}\\\\r=\sqrt{(36)^2+(36\sqrt{3})^2}\\\\r=\sqrt{1296+3888}\\\\r=\sqrt{5184}\\\\r=72[/tex]
[tex]\theta=tan^{-1}(\frac{b}{a})\\ \\\theta=tan^{-1}(\frac{36\sqrt{3}}{36})\\ \\\theta=tan^{-1}(\sqrt{3})\\\\\theta=\frac{\pi}{3}[/tex]
Thus, our complex number in polar form is [tex]z=72[cos(\frac{\pi}{3})+isin(\frac{\pi}{3})][/tex]. This will help us determine the square roots of the complex number using the formula [tex]\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr][/tex] for [tex]k=0,1,2,\: ... \:,n-1[/tex]. Note that [tex]cis(\theta)=cos(\theta)+isin(\theta)[/tex]:
1st square root for k = 2-1 = 1
[tex]\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr][/tex]
[tex]\sqrt[2]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(1)}{2})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi}{2})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr(\frac{\pi}{6}+\pi)\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis\bigr(\frac{7\pi}{6})\biggr][/tex]
[tex]6\sqrt{2}\biggr[cos(\frac{7\pi}{6})+isin(\frac{7\pi}{6})\biggr]\\ \\6\sqrt{2}(-\frac{\sqrt{3}}{2}-\frac{1}{2}i)\\\\-3\sqrt{6}-3\sqrt{2}i[/tex]
2nd square root for k = 1-1 = 0
[tex]\sqrt[6]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(0)}{2}\bigr)\biggr][/tex]
[tex]6\sqrt{2}\biggr[cis(\frac{\pi}{6} )\biggr][/tex]
[tex]6\sqrt{2}[cos(\frac{\pi}{6})+isin(\frac{\pi}{6})]\\ \\6\sqrt{2}(\frac{\sqrt{3}}{2}+\frac{1}{2})\\\\3\sqrt{6}+3\sqrt{2}i[/tex]
Therefore, the square roots of [tex]36+36\sqrt{3}i[/tex] are [tex]3\sqrt{6}+3\sqrt{2}i[/tex] and [tex]-3\sqrt{6}-3\sqrt{2}i[/tex].
Write the absolute value equations in the form (x – b |=c (where b is a number and c
can be either a number or an expression) that has the following solution set.
all numbers such that x>-1.3
Answers
The absolute value equation is:
|x + 1.3| = x + 1.3
Working with absolute value equations:
The absolute value equation that we have is:
|x - b| = c
And we want that the solution set is all the numbers larger than -1.3
Now, remember that:
| something| ≥ 0.
So the absolute value is always equal or larger than zero.
So, for example, the equation:
|x| = x
Only is true if x ≥ 0, because if x is smaller than zero, for example x = -2, we would have:
|-2| = -2
2 = -2
Which is false.
Now we want to have solutions larger than -1.3 instead of larger than zero, so we can write:
|x + 1.3| = x + 1.3
The solution of this equation is the given set.
If you want to learn more about absolute values, you can read:
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Suppose you wrote a numerical expression for the
phrase "20 minus the product of 5 and 2." To evaluate
the expression, should you subtract or multiply first?
Explain.
Answers
Directions: Find the perimeter of each rectangle. Be sure to include the correct unit.
Answers
Answer:
42 ft
Step-by-step explanation:
Add the lengths of the 4 sides.
perimeter = 11 ft + 10 ft + 11 ft + 10 ft = 42 ft
Given that CM = 4x + 1, MR= 9x8 and CR= 17.
find CR
Answers
Step-by-step explanation:
MR+CR=CM by the segment addition postulate.
(9x+8)+17=4x+1
9x+25=4x+1
5x+25=1
5x=-24
x=-24/5
Carly withdraws $18 from her bank account. Which number line represents this amount?
A number line going from negative 20 to positive 20. A point is at 18.
A number line going from negative 20 to positive 20. A point is at 12.
A number line going from negative 20 to positive 20. A point is at negative 12.
A number line going from negative 20 to positive 20. A point is at negative 18.
Answers
Answer:
D is correct answer
Step-by-step explanation:
Answer:
it is d i know im late but may i plz get brainliest
Step-by-step explanation:
There are 72 seats on a train. 54 of the seats are empty. What percentage of the seats on the train are empty?
Answers
Answer:
Explanation:
A ratio is the fractional representation of two different numbers, defined by the order in which we want to describe them We want a ratio of (Occupied)/(Empty) seats, so we put the occupied seat value in the numerator and the empty seat value in the denominator.
Ratio = 17/11
The decimal form can be obtained by doing the division: 1.545 occupied seats per empty seat.
40 divided by 28 .can you pls exsplain in a way a 5th grader can understand?
Answers
Answer:
1.42857
Step-by-step explanation:
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]28\overline{|\smallspace40}\:\:[/tex]
[tex]\mathrm{Divide\;40\;by\;28\;to\;get\;1}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\:\:\:\:\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;120\;by\;28\;to\;get\;4}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\:\:\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0}\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;80\;by\;28\;to\;get\;2}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace2\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{Divide\;240\;by\;28\;to\;get\;8}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace28\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\mathrm{Divide\;160\;by\;28\;to\;get\;5}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace285\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\underline{\emptyspace1\emptyspace4\emptyspace0}\\200[/tex]
[tex]\mathrm{Divide\;200\;by\;28\;to\;get\;7}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1.\emptyspace4\emptyspace2857\:\:\:\:\:\:\:\\ 28\overline{|\smallspace40.0\cdot \:0\cdot \:0}\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace1\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace1\emptyspace2}\:\:\:\:\:\:\:\:\:\:\\ \;\;\emptyspace8\emptyspace0\:\:\:\:\:\:\:\:\\ \:\underline{\emptyspace5\emptyspace6}\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace4\emptyspace0\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2\emptyspace4}\\160[/tex]
[tex]\underline{\emptyspace1\emptyspace4\emptyspace0}\\200[/tex]
[tex]\underline{\emptyspace1\emptyspace9\emptyspace6}\\4[/tex]
[tex]\mathrm{Stopping\:at\:5\:decimal\:places}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{40}{28}\:\mathrm{is}\:1.42857[/tex]
~[RevyBreeze]~
Tell me if you don't understand!
The division of the expression when 40 divided by 28 is [tex]\dfrac{10}{7}[/tex] or 1.42857143.
A number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.
The factors of 12 are = 1,2,3,4,6 and 12.
Here, when these factor will divide 12, there will no remainder, i.e. they will completely divide 12.
The division of the expression 40 divided by 28 is calculated as:
The factors of 40 are : 1,2,4,5,8,10,20 and 40
The factors of 28 are: 1,2,4,7,14 and 28.
This expression can be written as:
[tex]\dfrac{40}{28}=\dfrac{1\times2\times4\times5\times8\times10\times20\times40}{ 1\times 2\times 4\times 7\times 14\times 28}[/tex]
The numbers cancel out using the rule of divisibility, and the remaining fraction will be [tex]\dfrac{10}{7}[/tex] and in decimal form will be 1.42857143.
Thus, when 40 is divided by 28, the result is 1.42857143 or [tex]\dfrac{10}{7}[/tex] in fraction form.
Learn more about factors here:
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What color is the grass
Answers
what color is the grass
Green. Thanks for the points
Consider the function f(x) = 7^x and g(x) = 7^x+ 6. How is the function g(x) translated from f(x)?
Answers
which of the following is the volume of the rectangular prism
Answers
Answer:
84x³ - 50x² - 126x - 40
Step-by-step explanation:
→ Multiply all the lengths together
( 4x + 2 ) ( 3x - 5 ) ( 7x + 4 ) = 84x³ - 50x² - 126x - 40
PLEASE HELP ASAP!!
A factory makes 5.42 feet of rope per minute. How many feet of rope will the factory make in 4 minutes?
Answers
Answer:
21.68 feet
Step-by-step explanation:
5.42 feet in one minute
so how many in 4 minutes
just multiple the rate (5.42 feet per minute) by 4 to get 21.68 feet
When you solve and get something false
as your answer how many solutions would
you have for this problem?
ex: 0 = 5
Answers
Answer:
It would be, No solution.
Step-by-step explanation:
This is because you can't divide something from zero.
find the distance between -4 and 2.
Answers
Answer: 6
Step-by-step explanation:
-4 -3 -2 -1 0 1 2
1 2 3 4 5 6 7
10. Juanita is making necklaces to give as presents.
She plans to put 15 beads on each necklace.
Beads are sold in packages of 20. What is the
least number of packages she can buy to make
necklaces and have no beads left over?
Answers
tHanks again everyone
Answers
Answer:
option B shows the correct solution.
Find y-intercept:
3y - 4x = -3
3y - 4(0) = -3
3y = -3
y = -1
Find x-intercept:
3y - 4x = -3
3(0) - 4x = -3
-4x = -3
x = 3/4
Check option B
Passes through (0,-1)So
3y-4x=-33(-1)-4(0)=-3-3=-3Hence verified
Option B is correct
Cuadrilátero cuyos lados son todos iguales y con ángulos opuestos iguales
Answers
Answer:
A quadleratiral all of its sides are equal.... it has 4 sides and can i have brainliest? please i really need it
Step-by-step explanation:
Paralelogramo
de nada. P.s no hablo español. Jajaja
Consider the figure below complete the statement angel dam is
Answers
Answer:
angel dam is 55°
Step-by-step explanation:
just look at where the line between A and D cross the protactor
John and some friends went to a sushi restaurant and ordered some sushi. He bought 2 Ahi Tuna, 1 California Roll, and 1 Eel Rolls. His total was $26.20. Sally only ordered 3 California Rolls her total was $17.85. Elijah ordered 3 Ahi Tuna and 2 California Rolls and his total was $34.
What is John's Equation?
What is Sally's equation?
Answers
Answer:
Let "a" represent amount of ahi tuna, "c" represent California rolls, and "e" represent eel rolls.
John: 2a+c+e=26.20
Sally: 3c = 17.85
HELP ASAP.
What is the equation of the graphed line written in standard form?
Answers
John travels at an average speed of 90 km/h for 2 hours 30 minutes. Find the distance travelled in
km.
Answers
traveledAnswer:
225 km
Step-by-step explanation:
We know that in 1 hour he will travel 90 km, so in 2 hours, he will travel double what he did in one, so multiply 90 by 2 and we get 180. If he travelled 90 km in 1 hour, then for half that time he traveled half the distance, so 90/2 is 45. Now add 180 and 45 and we get 225 km. Hope this helps!
What is the area, in square feet, of the trapezoid below?
Answers
Answer:
93.3 square feet
Step-by-step explanation:
12.8 + 5.9 = 18.7
18.7 x 10 = 187
187 / 2 = 93.3
Explain why some systems of equations have no solutions, why some systems have one solution, and why some systems have infinite
solutions.
Answers
Answer:Some equations may not have solutions and some may have one or more than one is because of the variables or how they are written
Step-by-step explanation:not 100% sure this is the correct answer,I tried my best.
A system of equations consists on a group of equations that we must solve at the same time.
From this, the solutions of a system of equations appear as the intersections between the graphs of the equations that conform the system.
So for example, if a system has two parallel lines (two lines that never intersect) that system will have no solution.
If a system has two different and not parallel lines, these lines will intersect at some point, so this system will have one solution.
And finally, if the system has twice the same line, the graphs of the lines will intersect in infinite points, thus, this system has infinite solutions.
If you want to learn more, you can read:
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Three less than two times a number is equal to 7 more than four times the number.
Answers
Answer:
this is your ans ................
Step-by-step explanation:
your answer is x= -5 this is your answer