Solve the equation below for x
3(x+2) = 8(x - 1)+5
explain it using any of these vocab words:
polynomial expressions
graphing polynomial expressions
dividing polynomials
solving polynomial equations
rational functions
Answers
Answer: x = 9/5
Step-by-step explanation:
You want to apply the distributive property to both of these "polynomial expressions." You get 3x + 6 = 8x - 8 +5
Subtract 5 from both polynomials to get 3x + 1 = 8x - 8.
Subtract 1 from both polynomials to get 3x = 8x - 9
Subtract 8x from both polynomials to get -5x = -9
Finally divide both polynomials by -5 to get x = 9/5
Related Questions
How many solutions does the system have? { � = 9 � − 5 � = 9 � + 6 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=9x−5 y=9x+6 Choose 1 answer: Choose 1 answer: (Choice A) Exactly one solution A Exactly one solution (Choice B) No solutions B No solutions (Choice C) Infinitely many solutions C Infinitely many solutions
Answers
Option (C) Infinitely many solutions
J6K4 × 7 = L9M98
Each of J, K, L, and M is a different digit.
Find the values of J, K, L, and M.
Step by step pls thx
I appreciate your answer
WILL PICK BRAINLIEST
Answers
Answer:
5463
Simplify ————
20
Equation at the end of step 1 :
5 5463
k - ((— • (f - 32)) + ————) = 0
9 20
Step 2 :
5
Simplify —
9
Equation at the end of step 2 :
5 5463
k - ((— • (f - 32)) + ————) = 0
9 20
Step 3 :
Equation at the end of step 3 :
5 • (f - 32) 5463
k - (———————————— + ————) = 0
9 20
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 20
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 0 2
2 0 2 2
5 0 1 1
Product of all
Prime Factors 9 20 180
Least Common Multiple:
180
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 20
Right_M = L.C.M / R_Deno = 9
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 5 • (f-32) • 20
—————————————————— = ———————————————
L.C.M 180
R. Mult. • R. Num. 5463 • 9
—————————————————— = ————————
L.C.M 180
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5 • (f-32) • 20 + 5463 • 9 100f + 45967
—————————————————————————— = ————————————
180 180
Equation at the end of step 4 :
(100f + 45967)
k - —————————————— = 0
180
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 180 as the denominator :
k k • 180
k = — = ———————
1 180
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
k • 180 - ((100f+45967)) 180k - 100f - 45967
———————————————————————— = ———————————————————
180 180
Equation at the end of step 5 :
180k - 100f - 45967
——————————————————— = 0
180
Step 6 :
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
180k-100f-45967
——————————————— • 180 = 0 • 180
180
Now, on the left hand side, the 180 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
180k-100f-45967 = 0
Equation of a Straight Line
6.2 Solve 180k-100f-45967 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 180k-100f-45967 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when k = 0 the value of f is 45967/-100 so this line "cuts" the f axis at f=-459.67000
f-intercept = 45967/-100 = -459.67000
Calculate the X-Intercept :
When f = 0 the value of k is 45967/180 Our line therefore "cuts" the k axis at k=255.37222
k-intercept = 45967/180 = 255.37222
Calculate the Slope :
Slope is defined as the change in f divided by the change in k. We note that for k=0, the value of f is -459.670 and for k=2.000, the value of f is -456.070. So, for a change of 2.000 in k (The change in k is sometimes referred to as "RUN") we get a change of -456.070 - (-459.670) = 3.600 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.600/2.000 = 1.800
Geometric figure: Straight Line
Slope = 3.600/2.000 = 1.800
k-intercept = 45967/180 = 255.37222
f-intercept = 45967/-100 = -459.67000
Step-by-step explanation:
hope this helps
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answers
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
Which expression has a value of 16?
4. (4 + 4) - 16
(8 x 8) - (8 x 4)
(8 + 8) ÷ 2
(10 + 8) ÷ 4
Answers
Answer:
The first option, 4(4+4) - 16
Step-by-step explanation:
To find this, you follow PEMDAS, so first, solve the parenthesis for 8, multiply that by 4 since multiplication is next because there are no exponents. then subtract to finish this up, since it is last in the PEMDAS method.
4(4+4)-16
4*8-16
32-16
16
PLEASE HELP! WILL MARK BRAINLIEST!
Answers
Answer:
1) width = 10 + 2x
length = 20 + 2x
2) area = (10 + 2x)(20 + 2x)
= 4(5 + x)(10 + x)
3) 4(5 + x)(10 + x) = 600
(5 + x)(10 + x) = 150
50 + 15x + x^2 = 150
x^2 + 15x - 100 = 0
(x - 5)(x + 20) = 0
x = 5 feet
The width of the walkway is 5 feet.
Which shape will result from taking a cross section of the cylinder through the points shown?
A. circle
B. triangle
C. pentagon
D. rectangle
Answers
Answer:
D. Rectangle
Step-by-step explanation:
If you unfold it, it would be shaped as a rectangle
Answer:
Step-by-step explanation:
Is there any combination of education and post-graduation? Write the five basic objectives of education
Answers
Answer:
3
Step-by-step explanation:
Actually 'post-graduation' is a type of education. Education only means learning, so post graduation is a type of education.
OBJECTIVES OF EDUCATION:
Usually an educational objective relates to gaining an ability, a skill, some knowledge, a new attitude etc. rather than having merely completed a given task.
here u go the newest one
Answers
Answer:
The coordinates of the two system of equations is (4,3). You are able to see the point where they cross! It's pretty easy, and good luck sunshine! <3 You're welcome and have a wonderful rest of your day!
the ratio of red and green marbles in a box are 3;7 how many marbles are in the box if there are 20 fewer red marbles than blue?
Answers
50 marbles
Step-by-step explanation:
The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.
4 units = 20
1 unit = 20÷4 = 5
Total = 10 units
10 unit = 5 ×10 = 50
Ans : 50 marbles
10 x 10 to the power of 9 is how many times greater than 5 times 10 to the power of 3
find the answer using scientific notation
Answers
Answer: 2,000,000 or 2*10^6
Step-by-step explanation:
10*10^9 = 10000000000
5*10^3 = 5000
10000000000/5000=2000000
\(10x10^9\) = 10 x 1000000000 = 10,000,000,000
5 x 10^3 = 5 x 10 x 10 x 10 = 5,000
Divide 10 x 10^9 / 5 x 10^3 and the answer is
2 x 10^6
I hope this helps you, and if I did anything wrong to this problem, please do let me know :)
Inverse operations solving for X, question in picture attached. Whoever answers I will give brainy
Answers
Answer:
The Correct answer is C
cube both sides
I believe the anwer is c
hope this helps you
Drag the tiles to the correct boxes to complete the pairs.
Match the descriptions of cross-sections of three-dimensional figures to their corresponding shapes.
Answers
Answer:
Switch the top for middle and bottom for top then last one on the threed box
Find three consecutive odd integers such that twice the second is 15 more than the third. -Please answer asap!!!
Answers
Answer:15, 17, 19
Step-by-step explanation:17*2=34
34-19=15
Question below, URGENT!!
Sorry it’s out of order.
Answers
Kenji earned the test scores below in English class.
79, 91, 93, 85, 86, and 88
After his next test, his mean and median scores both change to 88. How much does he earn on this test?
Answers
Answer:
The mean is 87 and the median is 87
Step-by-step explanation:
Answer:86
Step-by-step explanation:
There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,500 liquid gallons and has a radius of 3.4 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.
200.5 feet
59.0 feet
17.3 feet
5.5 feet
Answers
Sarah wants to predict how many t-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this.
Explain how the other homerooms' data support David's claim.
PLEASE HELP QUICK. THIS IS A TEST.
Answers
u can add 10 plus 8 u can get 18 or if u get other number u wrong
I realised that there is a lack of information in the question. Please provide so we can guide you.
Please mark this brainliest thank you :)
A stained-glass designer will align eight different colored parallelograms of this same size to create a pattern. What is the total area of the designer's pattern if each square on the grid represents 1 square centimeter?
Answers
This was answered but... Mind helping me on this? https://brainly.com/question/23506969 thanks!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: probably c
Step-by-step explanation:
i divided it and got 401.063963
Answer:
C.
Step-by-step explanation:
trust -.-
Which of these situations can be represented with an integer that, when combined with the opposite of −5, makes 0?
Select all that apply.
A.
You earn $5 from your chores.
B.
You walk down 5 flights of stairs.
C.
The temperature drops 5°F.
D.
You climb up 5 flights of stairs.
E.
You spend $5 on a game.
Plz help plz I will give points and brain list
Answers
Walk Down and Climb Up is both opposite.
If you climb up 5 flights of stairs will give zero. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that situations can be represented with an integer that, when combined with the opposite of −5, makes 0.
If you climb up 5 flights of stairs it will give the positive value of 5 when it is added to -5 then it will give zero.
Therefore, If you climb up 5 flights of stairs will give zero. The correct option is D.
To know more about Expression follow
brainly.com/question/723406
#SPJ2
1) + 19 - 21 = -2 (a positive 19 combined with a negative 21 = -2)
2) - 20 _ -2 = -22
3) 29 _ -13 = 16
4) -16 _ -17 = -33
5) -19 _ 3 = -22
6) 98 _ -2 = 100
7) -112 _ -13 = -125
8) 111 _ -1 = 110
9) -72 _ 8 = -64
10) 80 _ -6 = 86
11) 99 _ -2 = 97
12) 13 _ -1 = 14
Answers
Helen is swimming in a lake when she decides she wants her goggles. To get the goggles she swims at a steady pace back to a floating dock. She starts 52 m from the dock. The graph shows Helen's distance from the dock in relation to the time spent swimming back.
Let x represent the time swimming back to the dock. Let y represent the distance from the dock. Which equation is represented by the graph?
Question 5 options:
y = 20x – 52
y = 32x + 52
y = –20x + 52
y = –32x – 52
Answers
Answer: y=32x+52
Step-by-step explanation: i took the test lol
Answer:
y=32x+52
Step-by-step explanation:
EDGE
How many times does 15 go int 135? who ever gets it right gets 500 points
Answers
Answer:
9 times
Step-by-step explanation:
The number 15 multiplied to the number 9 which gives the value 135.
To find the that how many 15 is to get 135, division should be performed.
So, dividing 135 by 15 gives:
= 135 ÷ 15
15 | 135 | 9
135
_______
0
Thus, the quotient is 9.
Therefore, 15 goes into 135 exactly 9 times.
Learn more about Division here:
https://brainly.com/question/2273245
#SPJ6
Help pls!! it's urgent.
Answers
Answer:
Step-by-step explanation:
Two stores advertise a discount on the same type of watch. At both stores, the original price of the watch was $35.00
Store A discounts the price of the watch by 20%
Store B discounts the price of the watch by 15%
How much less is the discounted price of the watch at store A than the discounted price of the watch at store B?
Answers
store B would pay: $29.79
The correct discounted amount of store A compared to store B is $1.79
Store A has $ 1.75 less discounted price than Store B.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
The original price of the watch was $35.00
Store A:
Discount = 20%
So, price after discount = 35 - 35 x 0.20
= $28
and, Store B:
Discount = 15%
So, price after discount = 35 - 35 x 0.15
= $29.75
Hence, Store A has $ 1.75 less discounted price than Store B.
Learn more about Percentage here:
https://brainly.com/question/29306119
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If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
If the principal is $4,500 and the rate of interest is 8% , What if the amount of interest of one year ? Formula is i = PRT
A $800
B $360
C $1800
D $720
Answers
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
Answers
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
