The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2
How to solve the rational expression?The expression is given as:
[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]
Cross multiply
[tex]x(x - 2) =2 * x^2[/tex]
Open the bracket
[tex]x^2 - 2x =2x^2[/tex]
Collect like terms
[tex]- 2x =2x^2 - x^2[/tex]
Evaluate the like terms
[tex]- 2x =x^2[/tex]
Rewrite as:
[tex]x^2 + 2x =0[/tex]
Factor out x
x(x + 2) =0
Expand
x = 0 or x + 2 = 0
Solve for x
x = 0 or x = -2
Hence, the value of x are x = 0 and x = -2
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Write the equation of the line that passes through the points (0,0) and (7,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
m= y2 - y1/ x2 - x1( slope of a line)
m = 8 -0 / 7- 0
8/7 = m
m = 1.1
since m =y - y1/ x - x1
1.1 = y - 0/ x-0
1.1 = y/x(cross multiply)
y = 1.1 x
y -1.1 x = 0
or
y - 8/7 x = 0
Use the exchange rate £1 = $1.36 to convert $68 into £.
Divide total dollars by the conversion rate:
68/1.36 = 50
Answer: £50
find the distance between each pair of point. Round to the nearest hundredth(-8, -2) and (6, -1)
Answer:
the square root of 197
Step-by-step explanation:
delta x=14
delta y=1
therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197
Find the slope from this table
Show me how please and thank you
Answer:
2
I hope this helps you...
Complete the statement.
Answer:
angle 4 = 56°
Step-by-step explanation:
Interior angles in the same side of the transversal are supplementary (their sum is 180°)
Angle 1 and 4 are interior angles on the same side of the transversal.
So, angle 1 + angle 4 = 180°
Angle 1 = 124° (given)
124 + angle 4 = 180°
angle 4 = 180° - 124° = 56°
Therefore, angle 4 = 56°
Hope it helps :)
does anyone get this??
Answer:
no HAHHAAHHA
Step-by-step explanation:
WHAT IS THAT
what has the same value as 0.45
Answer:
9/20 or 45%
Step-by-step explanation:
Step-by-step explanation:
WHY IT IS SAYING YO WRITE AT LEAST 20 CHARACTERS
OHH, IT IS ALREADY 20 CHARACTERS
How to determine values of a,b and c
(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means
[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]
The denominator remains unchanged, so
ax + b = -ax + b
Solve for a :
ax = -ax
2ax = 0
a = 0
(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)
So
[tex]f(x) = \dfrac{b}{x^2-c}[/tex]
(ii) Since
[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]
it follows that x - 2 must be a factor of the denominator. If that's true, then
x ² - c = (x - 2) (x - r )
for some other root r of x ² - c. Expanding the right side gives
x ² - c = x ² - (2 + r )x + 2r
so that
-(2 + r ) = 0 ===> r = -2
2r = -c ===> -c = -4 ===> c = 4
and so
[tex]f(x) = \dfrac{b}{x^2-4}[/tex]
(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives
[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]
so that
[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]
Then
-2b/9 = -2 ===> b = 9
and we find that
[tex]f(x) = \dfrac{9}{x^2-4}[/tex]
if johnny had 5 apples how many apples would johnny have?
Answer:
5 apples
Step-by-step explanation:
because jonny never had any taken away or added
BENJI KROL + NIC KAUFMANN FOREVER
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8.
Since they have twice as many games won as lost there are 3 parts.
The losing part and the two winning parts.
The winning part is [tex]\frac{2}{3}[/tex] the games while the losing part is [tex]\frac{1}{3}[/tex] the games.
Just multiply [tex]\frac{2}{3}[/tex] by the games played to find the games won.
[tex]\frac{2}{3} (96)=\frac{192}{3} =64[/tex]
The ravens won 64 games.
10.
Make a system of equations.
Let s be the number of skips interviews and w be the number of woodys interviews.
s=w-8
s+w=20
Then just use algebra to rearrange and find each persons interviews.
For this one we can rearrange the second equation to get s=20-w.
Since we have two solutions for s we can set them equal.
w-8=20-w
2w-8=20
2w=28
w=14
Now that we have the number of woodys interviews substitute it into the first equation to get skips interviews.
s=w-8
s=14-8
s=6
So skip had 6 interviews and woody had 14 interviews.
12.
Make a system of equations
y-x=7
x+y=33
Then just use algebra to rearrange and find each amount of items.
Start by solving with substitution. (Elimination could work too im just going to use substitution.)
y-x=7
y=7+x
Substitute into the second equation
x+(7+x)=33
2x+7=33
2x=26
x=13
Now plug this x value back into the first equation
y-13=7
y=20
The number of items on one list is 13 and the number of items on the second list is 20.
Can someone help me find m
Answer:
69 degrees
Step-by-step explanation:
m is a point, if your trying to find lkh, is 69
lkm=111, and jkl=180, so 180-111=jkm
jkm=69
angles that are diagonal from each other are the same degree
lkh=69
hope this helps, if not see me in the commnets
HOPE THIS HELPS, BRAINLIEST PLEASE
Answer:
m < LKH = 69°
Step-by-step explanation:
Given that m < LKM = 111° and that:
<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:
Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.
Therefore, we can establish the following equation:
m < LKM + m < LKH = 180°
111° + m <LKH = 180°
Subtract 111° from both sides to solve for m < LKH:
111° - 111° + m <LKH = 180° - 111°
m < LKH = 69°
Therefore, the measure of < LKH is 69°.
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answer the question with clear explanation !!
[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]
How much will it cost to fill a
13-gallon gas tank at $2.30 per gallon?
Answer:
$29.90
Step-by-step explanation:
Just multiply gallons by price:
13 gallons x [tex]\frac{2.30 dollars}{1 gallon}[/tex] = 29.9
1
2 kg de plátanos cuesta $400 ¿ Cuál será el valor de 5,5 kg de esa fruta?
Answer:
Gfd 600
Step-by-step explanation:
How to write 3/2 as a mixed number
Answer:
1 1/2 or 1.5
Step-by-step explanation:
Hope it helps sorry if it's wrong :)
what number when added to 3 2/5 gives 5
Answer:
1.6
Step-by-step explanation:
Bobby and his brother had 3 over 4 of a pizza leftover after dinner. Their father came home and ate 1 over 2 of the leftover pizza. How much pizza did their father eat?
Answer:
it could be 1/8
PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.
Answer:
a answer
Step-by-step explanation:
a answer is a answer to a answer to a answer
A recipe calls for 2/3 a cup of butter. Georgia wants to cut the recipe in half. How much butter would she need?
Answer: 1/3
Step-by-step explanation: 2/3 - 1/3 = 1/3
Identify the conclusion of the statement Jack will go to school if today is Monday.
Jack will not go to school.
Jack will go to school.
Today is not Monday.
Today is Monday.
What can we determine based on the following information
Given: If an angle is acute, then it cannot be obtuse.
< A is always obtuse.
< A is sometimes obtuse.
< A cannot be obtuse.
No conclusions can be made based on the given information.
You saved $500 this year. Each year you plan to save 5% more than the previous year. How much do you expect to save after 8 more years?
A. $738.73
B. $5513.28
C. $5013.28
D. $5788.95
Answer:
1st year
50hdnjxwmmwdbbd
djjrjeuie
Answer:
a. 738.73
Step-by-step explanation:
hope that’s righttt.
What I did was 500x0.05 and with the answer I did x0.5 again and added it to the previous year until the 8th time each was 738.73 correct me if I’m wrong
edit so it’s wrong….not sure what I did wrong
what is 8f to the 4th power/2f to the third power in parentheses squared
What is the slope of a line perpendicular to the line whose equation is 6x+4y=72 Fully simplify your answer.
Answer:
m = 2/3
Step-by-step explanation:
4y = -6x + 72
y = -3/2x + 18
Negative reciprocal = 2/3
Write a rule in both coordinate notation in vector notation to represent the translation of a parallelogram to the right
The rule in vector notation for the translation to the right is described by the following formula:
[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]
Vectorially speaking, a translation is described by the following expression:
[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)
Where:
[tex]V(x,y)[/tex] - Original point.[tex]V' (x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:
[tex]T(x,y) = (9, -4)[/tex]
And the rule in vector notation for the translation to the right is described by the following formula:
[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]
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What’s the answer for 6 and 7???
In a survey of 2,600 people who owned a certain type of car, 1,430 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
1430 divided by 2600 is 0.55
0.55 is 55%
REPOST*
I NEED HELP ON THESE THREE QUESTIONS*
The number line compares the numbers –6, 3, and 5.
1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.
2. Write an inequality that compares 3 and 5.
3. Write an inequality that compares –6, 3, and 5.
#1
-6-3-5Hence inequality will be
[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]
#2.
3<5But we need inequality
[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]
#3
The inequality given by
[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]
Answer:
See belowStep-by-step explanation:
Given numbers:
-6, 3 and 5If we add these onto number line, we'll see them in same order from left to right.
We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.
1.
-6 < 3, as -6 is to left from 32.
3 < 5, as 3 is to left from 53.
-6 < 3 < 5, as per above explanationPlease help!
Solve for x
3(x - 4) - 2x = 6
Answer:
Step-by-step explanation:
first open the bracket
3x-12-2x=6
collect like terms
3x-2x-12=6
x-12=6
x=12+6
x=18
This is your answer
Manuel wants 30 liters of a mixture of water and 10% lemon juice. He has a mixture of 8% lemon juice and a mixture of 20% lemon juice. How many liters of the 8% and 20% mixtures should he mix to get what he wants?
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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Complete the given ordered pairs 2x +y=8
Answer:
hope it helps .... . . ........................!