3.
For each expression, combine like terms and write an equivalent expression with fewer terms.
a.
4x + 3x
b.
3x + 5x – 1
C.
5 + 2x + 7 + 4x
d.
4 - 2x + 5x
e.
10x – 5 + 3x – 2
Answers
B. 8x-1
C. 6x+12
D. 3x +4
E. 13x-7
The like terms combined and equivalent expressions are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given are the following expressions -
a. 4x + 3x
b. 3x + 5x – 1
c. 5 + 2x + 7 + 4x
d. 4 - 2x + 5x
e. 10x – 5 + 3x – 2
We have -
[A] -
4x + 3x
4x + 3x = 7x
[B] -
3x + 5x – 1
3x + 5x – 1 = 8x - 1
[C] -
5 + 2x + 7 + 4x
5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)
[D] -
4 - 2x + 5x
4 - 2x + 5x = 3x + 4
[E] -
10x – 5 + 3x – 2
10x – 5 + 3x – 2 = 13x - 7
Therefore, the like terms combined and equivalent expressions are given above.
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Related Questions
1. The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours. Ab Bicycle Rental Costs Time, x (hours) Total Cost, y (dollars) 1 $10 2 $20 3 $30 Part 1: A student drew the following graph to represent this situation. Explain the error in the graph
Answers
1) The error in the graph should be that the time should be on x-axis and cost should be on y axis
Important information: The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours.Information regarding graph:Here the error is that the time should be shown on the x-axis and the cost should be shown on the y-axis.Find out more information about the graph here:
https://brainly.com/question/14375099?referrer=searchResults
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years.
Answers
Answer:
6930 for Maya and James is 6912
Step-by-step explanation
1600x8%=128+1600=1728x4=6912 1650x5%=82.5 82.5+1650=1732.50 1732.5x4=6930
6930-6912=18
Maya has $18 more dollars then James
Answer:
Step-by-step explanation:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
PT2 To my last question!!!! please answer quickly
Answers
Answer:
3rd one
Step-by-step explanation:
Brainliest?
La utilidad máxima esperada por la venta de televisores en una tienda departamental para el primer mes se representa por la siguiente ecuación de utilidad U = - x2 + 500x + 100,000; obtenga las unidades y la utilidad máxima esperada por esa venta.
Answers
Explicación paso a paso:
La ganancia máxima esperada ocurre cuando dU / dx = 0
Dada la función U = - x2 + 500x + 100,000
dU / dx = -2x + 500
Dado que dU / dx = 0
Por lo tanto -2x + 500 = 0
Solución para x;
-2x = -500
x = 500/2
x = 250
Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;
U = - (250) ^ 2 + 500 (250) + 100.000
U = -62500 + 125000 + 100000
U = 162,500 '
Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500
if an item sells for $44.28 per kilograms, how many cents per ounce does the item cost? Round the answer to the nearest ten-thousandth place
Answers
Answer:
The item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Step-by-step explanation:
The sale price of item is $44.28 per kilograms. We need it to convert into cents per ounce.
We know that 1 dollar per kilogram = 2.83495 cents per ounce
So, 44.28 dollars per kilograms = 2.83495 * 44.28 cents per ounce
= 125.53159 cents per ounce
So, the item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
Answers
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
Tom had 54 songs on his MP3 player. If he deleted 9 songs, what is the ratio of songs he kept to songs he deleted?
Answers
Answer:
6:1
is the right answer
Step-by-step explanation:
Answer:
45:9 or 49 to 9
Step-by-step explanation:
If you subtract 54-9 because the question is asking what is the the ration from what he KEPT after he deleted 9 so you would subtract so the answer wouls be 45:9 or 49 to 9
Pleassssseeee help. I neeed help
Answers
Answer:
B.
Step-by-step explanation:
Took the test :}
4. Find the average rate of
change, from 20 to 80 in
the table below.
х
20
40
60
80
100
y
15
35
65
105
215
Answers
Answer:
20 x 80 = 160
15 x 105 = 1,575
When the arrow is spun, there are four possible numbers the arrow can land on: 1, 2, 3, and 4. The spinners are each spun once. What is the probabilty of an even number on the first spinner and a 3 on the second spinner?
Answers
Answer:
The probability is 1/8
Step-by-step explanation:
There are two spinners here, total result on each of the two is 4
Probability of even number of the first
The even numbers are 2 and 4
Probability of an even number is 2/4 = 1/2
For the second spinner
Probability of having a 3 on the second spinner is 1/4
So the probability of an even number on the first and a 3 on the second spinner will be;
1/2 * 1/4 = 1/8
what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answers
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54
Answers
Answer:
y=40
Step-by-step explanation:
x y
9 15
24 y
9/24=15/y
24*15=9y
360=9y
40=y
Therefore, 40 is correct.
If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, in a proportional relationship when x=9 we know that y=15.
If x is directly varies to y we get
x∝y
x=ky
Now, 9=15k
k=9/15
k=3/5
So, equation is x=3/5y
When x=24, we get
24=3/5y
24×5=3y
y=40
Therefore, option (3) is the correct answer.
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PLEASE HELP! THANK YOU!!!
Answers
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[tex]3(x - 2) = 12[/tex]
[tex]x = 6[/tex]
_________________________________
[tex]6(x + 5) = 54[/tex]
[tex]x = 4[/tex]
_________________________________
[tex]3x + 5 = 32[/tex]
[tex]x = 9[/tex]
_________________________________
[tex]5(x + 7) = 45[/tex]
[tex]x = 2[/tex]
_________________________________
[tex]7x + 6 = 41[/tex]
[tex]x = 5[/tex]
_________________________________
[tex]2(x + 7) = 29[/tex]
[tex]x = 7.5[/tex]
_________________________________
[tex]4(x + 3) = 30[/tex]
[tex]x = 4.5[/tex]
_________________________________
[tex]5(x - 4) = 20[/tex]
[tex]x = 8[/tex]
_________________________________
[tex]3x - 10 = 23[/tex]
[tex]x = 11[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Card A: x = 6
Card B: x = 4
Card C: x = 9
Card D: x = 2
Card E: x = 5
Card F: x = [tex]\frac{15}{2}[/tex]
Card G: x = [tex]\frac{9}{2}[/tex]
Card H: x = 8
Card I: x = 11
There you go bud. :')
You owe me for this lol.
At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-grade students are there in total
Answers
If 20 is 5% multiplying it by 20 would give us 100%, so 20*20=400. There are 400 sixth-grade students in total.
The total number of sixth-grade students at Escobar Middle School is 400 students
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of students in sixth grade = x
5 % of sixth grade students is = 20 students
So ,
We need to calculate the total 100 % students in the sixth-grade
And ,
10 % of sixth-grade students = 2 x 5 % of sixth grade students
= 2 x 20 students
= 40 students
Now ,
100 % of sixth-grade students x = 10 x 10 % of sixth-grade students
= 10 x 40 students
= 400 students
Therefore , there are 400 students
Hence , the total number of sixth-grade students is 400 students
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Heyy guys I need help
Answers
===================================================
Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
--------------------
Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
Answer:
hey
Step-by-step explanation:
Y'all please help me! Basically just match up the points with an equation.
write an equation of the line that passes through the given points.
1. (-3, 2) (5, -2) 2.(-2, -4) (0,-8) 3.(8, -10) (0,2) 4.(-5, 4) (-3, -4) 5.(5, 0) (-2, 4)
y=-4x-16 y=-3/2x+2 y=-2x-8 y=-1/2x+1/2 y=-4/7x+2 6/7
Answers
2.Y=-2x-8
3.Y=-3/2x+2
4. Y=-4x-16
5.Y=-4/7x+2
Describe the transformation that moved the Red-figure to the Blue figure.
A) Rotate 90 degrees clockwise about the origin
B) Rotate 90 degrees counterclockwise about the origin
C) Reflect over the x-axis
D) Translate 2 units up
Answers
Need help asap please!
Answers
Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.
What percent of the class voted for Maria
Answers
Answer:
36%
Step-by-step explanation:
SHOW YOUR WORK
43.01-2.75
Answers
Answer:
the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown
Step-by-step explanation:
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answers
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
Please help this is due in 30 mins
Answers
Answer:
im pretty sure its c or rotation
Step-by-step explanation:
can somebody answer please.
Answers
Answer:
1. 2
2. 2/8 or 1/4 simplified
3. 5hrs
Hope I helped!
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answers
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
PLSS HELPPPPPPPP HELPP ASP
Answers
Answer:
B
Step-by-step explanation:
has a ratio of 6 to 1
Answer:
B is the correct answer
Can someone pretty please help me and answer these questions??!?!!!?
Answers
Answer:
Step-by-step explanation:
you seee i would nut I need points right now I'm sorry
Factor - 3 out of
-9x + 12
plz help
Answers
Answer:
3x - 4
Step-by-step explanation:
-9x + 12
divide by -3
3x + (-4)
3x - 4
-9 ÷ -3 = 3
12 ÷ -3 = -4
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
I need help with this question -3/8 + 1/6
Answers
Answer:
5/24
Step-by-step explanation:
Step-by-step explanation:
[tex] - \frac{3}{8} + \frac{1}{6} [/tex]
[tex] (- \frac{3}{8} \times \frac{3}{3} ) + ( \frac{1}{6} \times \frac{4}{4} )[/tex]
[tex] - \frac{9}{24} + \frac{4}{24} [/tex]
[tex] - \frac{5}{24} [/tex]
ANSWERR HERE :) :0
ples
Answers
Answer:
Reflections, translations, and rotations
Answer:
Rotation, Transitions and Reflections because they don't change the size of the shape.
The equation y = 13x represents the rate, in gallons per minute, that Tank A at an aquarium fills with water. The table represents the rate that Tank B fills with water. Determine which tank fills faster.
Answers
Answer:
Tank A fills up faster.
Step-by-step explanation:
Tank A is y = 13x
Tank B is y = 11x
Plz mark as Brainliest!