Answers
Answer:
x = -1
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/12-((x+2)/(2*x+5))=0
x + 2
Simplify ——————
2x + 5
1
Simplify again —
3
1 (x + 2)
— - ————— = 0
3 2x + 5
Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 2x+5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left , Right}
3 1 0 1
Product of all
Prime Factors 3 1 3
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left , Right}
2x+5 0 1 1
Least Common Multiple:
3 • (2x+5)
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 = 2x+5
Right_M = L.C.M / R_Deno = 3
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. 2x+5
—————————— = ——————————
L.C.M 3 • (2x+5)
R. Mult. • R. Num. (x+2) • 3
—————————— = ——————————
L.C.M 3 • (2x+5)
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:
2x + 5 - ((x + 2) • 3) -x - 1
——————————— = —————————
3 • (2x + 5) 3 • (2x + 5)
Pull out like factors :
-x - 1 = -1 • (x + 1)
-x - 1
—————————— = 0
3 • (2x + 5)
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, multiply both sides of the equation by the denominator.
-x - 1
——————— • 3 • (2x + 5) = 0 • 3 • (2x + 5)
3 • (2x + 5)
Now, on the left hand side, the 3 • 2x + 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-x - 1 = 0
Solving a Single Variable Equation:
Solve : -x - 1 = 0
Add 1 to both sides of the equation :
-x = 1
Multiply both sides of the equation by (-1) : x = -1
Related Questions
I don’t really know the answer I should be easy
Answers
Answer:
circumference is 2(pi)r
r = 36
2(3.14)(36) = 226.08
B
Step-by-step explanation:
hope this helps:)
Answer:
The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:
Plug in r = 36 to the formula to get:
Therefore, the circumference is 72pi.
Step-by-step explanation:
The faces of an eight-sided solid are labeled 1 through 8. Each
number has an equal chance of being rolled. Two of these solids
are rolled. What is the probability that an odd number is rolled on
both solids?
Answers
Answer:
The probability that an odd number is rolled on both solids is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Consider the provided information.
For the 8 sided dice the total number of outcomes = 64.
The favourable outcomes i.e odd numbers on both the solid = 16
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)
(7,1), (7,2), (7,3), (7,4), (7,5), (7,6), (7,7), (7,8)
(8,1), (8,2), (8,3), (8,4), (8,5), (8,6), (8,7), (8,8)
We know that [tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability of odd on both solid}=\frac{16}{64}[/tex]
[tex]\text{Probability of odd on both solid}=\frac{1}{4}[/tex]
Hence, the probability that an odd number is rolled on both solids is [tex]\frac{1}{4}[/tex].
Write -0.37 as a quotient of integers to show that it is rational
Answers
Answer:
-37/100
Step-by-step explanation:
Here, we want to write -0.37 as a quotient of integers
What we are saying is that we want to write it as a fraction of two numbers
That would be;
-0.37 = -37/100
Help plz someone? Help!!!!
Answers
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-1}{0+3}[/tex] = [tex]\frac{0}{3}[/tex] = 0
Note the slope of any horizontal line parallel to the x- axis is zero
Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f.g)(x) and express
the result in standard form.
Answers
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243[/tex]
In trapezoid JKLM, determine LM.
Answers
Answer:
Luther Martin
Step-by-step explanation:
Someone plz help and include an explanation plz cuz I’m a lil confused
Answers
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
The slope of a graph is the rate of change between two points. To find the slope in a graph you use: [tex]\frac{rise}{run}=\frac{y}{x}[/tex]
The y goes down by 5 and right by 4 so it'll be [tex]-\frac{5}{4}[/tex]
Also: If the line is going down the slope is always negative and vise versa
PLEASE HELP MATH WORK!!
Answers
Answer: ↓↓
Step-by-step explanation:
x^0 -- 1
x^-a -- 1/x^a
x^a * x^b -- x^a + b
x^a/x^b -- x^a - b
(x^a)^b -- x^ab
If a cube has a volume of 343cm^3, what is the area of one face?
Answers
Answer: 294 cm^2
Volume of the cube= 343 cm^3
l^3=343
l= 3 root 343
l=7cm
SA= 6*l^2
SA=6*7*7
=294 cm^2
what is 592 .962 rounded to the nearest tenth
Answers
Answer:
593.0
Step-by-step explanation:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
DJ = 48 units
Step-by-step explanation:
The centroid of a triangle is the point of intersection of its median.
The centroid divides each of the medians in the ratio 2 : 1 .
DJ = [tex]\frac{2}{3}[/tex] DH
DJ = [tex]\frac{2}{3}[/tex] × 72 = 48 units
Miriam wants to paint her room green. She makes a mixture of 50% yellow paint and 50% blue paint to create the color she likes. What type of change occurs when she mixes the paint? A chemical change B phase change C physical change D solution change
Answers
Answer:
A chemical change
Step-by-step explanation:
Since in the question it is mentioned that the Miriam wants to paint her room green so she makes a mixture of yellow paint 50% and the blue paint 50% so here the change that arise at the time when she mixed the paint is the chemical change as the two paints are mix together that means chemical together to develop a chemical change
So the first option is correct
1. identify the coeffieceint: 6x + 19
Answers
Answer:
The coefficient is 6 because it has a variable "x"
PLEASE HELP ASAP
Use the graph below for this question
What is the average rate of change from x = 0 to x = 2?
-4
-8
1
5
Answers
Answer:
The average rate will be: -4
Hence, option A is correct.
Step-by-step explanation:
Given the interval
0 ≤ x ≤ 2
From the graph, it is clear that:
at x₁ = 0, f(x₁) = 3
at x₂ = 2, f(x₂) = -5
Using the formula to determine the average rate of change:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-5 - 3] / [2-0]
= -8 / 2
= - 4
Therefore, the average rate will be: -4
Hence, option A is correct.
If x = 1 is a zero of the polynomial 3+ kx^2 + 2 ,find the value of k.
Plz it's urgent.
Answers
Answer:
k = i√ 5 , -i√ 5
Step-by-step explanation:
3 + kx^2 + 2 = ?
3 + k(1)^2 + 2 = ?
5 + k(1)^2 = ?
5 + k^2 = ?
k^2 = -5
k = i√ 5 , -i√ 5
Grace went on a road trip. She had 293 miles to drive on the first day. She was only able to drive 247.7 miles before she had to take a rest stop. What percent of the trip was she able to complete?
Answers
Answer:
84.53%
Step-by-step explanation:
total=293
completed=247.7
percentage=247.7/293. ×100%
=84.539%
Answer:
The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production
solve x + 4y = 14 and 3x + 3y = 15 by elimination
Answers
Answer:
you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result
Step-by-step explanation:
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 14 → (1)
3x + 3y = 15 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 12y = - 42 → (3)
Add (2) and (3) term by term to eliminate x, that is
0 - 9y = - 27
- 9y = - 27 ( divide both sides by - 9 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x + 4(3) = 14
x + 12 = 14 ( subtract 12 from both sides )
x = 2
solution is (2, 3 )
find what x=______
show work pleae
Answers
Answer:
Use pythogoras theorem
a^2+b^2=c^2
x^2=c^2-a^2
x^2=15^2-12^2
x^2=81
x= square root of 81
x=9
Step-by-step explanation:
whats 10.66 rounded to the nearest tenth?
Answers
Answer:
10.7
Step-by-step explanation:
10.66 rounds up to 10.7
What is the quotient? StartFraction n + 3 Over 2 n minus 6 EndFraction divided by StartFraction n + 3 Over 3 n minus 9 EndFraction Two-thirds Three-halves StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction
Answers
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}[/tex]
We are to find the quotient as shown:
[tex]= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9} \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\= \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1 \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times \frac{3}{2} \\\\= \frac{3}{2}[/tex]
Hence the correct answer is [tex]\frac{3}{2}[/tex]
Answer:
3/2
Step-by-step explanation:
3/2
Please help and
show workings
Answers
Answer:
x=2
Step-by-step explanation:
Alright for this type of problem the line CE is proportional to line FG meaning that the length of line CE is two times the length of EG. What we want to do is set up an equation that will help us solve for x. The equation would be
18-4x=6x-7 but because line CE is two time greater than line FG we have to multiply the side of EG by 2 so the new equation is
18-4x=12x-14 Now we can began to solve
step 1 : subtract 18 to each side
-4x=12x-32
step 2; subtract 12 from each side
-16x=-32
step 3: divide each side by -16
x=2
I Hope this Helps you out a little (:
Solve the equation, justify each step with an algebraic property. -11 = -12+ 2x +3
Answers
Answer:
-1
Step-by-step explanation:
Given the equation :
-11 = - 12 + 2x + 3
Collect like terms
-11 + 12 - 3 = 2x
-2 = 2x
-2 /2 = 2x/2
x = - 1
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
Given the equation [tex]-11 = -12 + 2x + 3[/tex] find [tex]x[/tex]
For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:
First substract -3 in both sides of the equation
[tex]-14 = -12 + 2x[/tex]
Later sum 12 in both sides of the equation
[tex]-2 = 2x[/tex]
The final step is multiply by [tex]\frac{1}{2}[/tex] each side of the equation
[tex]-1 = x[/tex]
So the final answer is [tex]x = -1[/tex]
how can you represent 1000 as an exponential expression with 10 as the base
Answers
Answer:
[tex]10^{3}[/tex]
Step-by-step explanation:
Answer:
10 exponent 3 is the answer
Step-by-step explanation:
Joy delivered 450 newspapers in 3 hours how many can she deliver in 4 hours
Answers
Step-by-step explanation:
Time in hours is directly proportional to the number of newspapers.
3 hours = 450 newspapers
=> 4 hours = 450 * (4/3) = 600 newspapers.
Hence Joy can deliver 600 newspapers in 4 hours.
HELLLPPPP PLEASEeeee
Answers
Answer:
the right down one
Step-by-step explanation:
because a set of parallel linear lines will not have any solutions, since they won't ever touch and intersect each other
hiii please help i’ll give brainliest if you give a correct answer ty!!
Answers
Answer:
3) $76.00
Step-by-step explanation:
I did my math
What is the value of 675 if the six was changed to 9
Answers
Answer:
975
Step-by-step explanation:
Answer:
975 what kind of question of that
I need help to these answers asap! 20 points!
Answers
Answer:
Step-by-step explanation:
a is o.53 repeated
Answer:
it would be -3 for letter B.
Step-by-step explanation:
why okay reduce the number so it would be 9/4 ÷ 3/4 if that makes sense
which if the following is not a transformation for y=-(x+2)^2 -2?
A) all are correct
B) shift up 2
C) shift left 2
D) reflection
Answers
please help me please will give brainliest to anyone who is right
Answers
Answer:
A (?)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if you look at the graph the area thats purple for texas is farther up it meaning the tempature is higher.