Answers
Answer:
After solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.
Option B is correct.
Step-by-step explanation:
We need to solve [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]
Solving:
[tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]
Cross multiply
[tex](x-2)(x+4)=x*4[/tex]
Multiplying:
[tex]x(x+4)-2(x+4)=4x\\x^2+4x-2x-8=4x\\x^2+2x-8-4x=0\\x^2-2x-8=0[/tex]
Now, we have got quadratic equation [tex]x^2-2x-8=0[/tex]
Solving this quadratic equation using quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
We have a=1, b=-2 and c=-8 Putting values
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-8)}}{2(1)}\\x=\frac{2\pm\sqrt{4+32}}{2}\\x=\frac{2\pm\sqrt{36}}{2}\\x=\frac{2\pm6}{2}\\x=\frac{2+6}{2} \ or \ x=\frac{2-6}{2}\\x=\frac{8}{2} \ or \ x=\frac{-4}{2}\\x=4 \ or \ x=-2[/tex]
So,after solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.
Option B is correct.
Related Questions
You know whats weird lol?
Im about to be 14 in january right, and i already have a job. I work 7 days a week.
And my sister is 16, she doesnt have a job or do anything..
chile-
Answers
Answer:
wow
Step-by-step explanation:
You earnin monnnnnneyyyyyyyyy!!!!!!!!!!!!!!!!!!!
IM DONE WITH THIS STUPID THING 50 POINTS TO THE PERSON WHO GETS IT ALL CORRECT.
Answers
Heeelp
. Can someone please answer this to meee ?
.
Answers
Answer:
If f(x)=g(x), the solution is x=-2
Step-by-step explanation:
We are given:
[tex]f(x)=3x+3\\g(x)= (-1/2)x-4[/tex]
We need to find the solution if f(x)=g(x)
Now solving for f(x)=g(x)
[tex]f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2[/tex]
If f(x)=g(x), the solution is x=-2
what expression does the model show
i will give brainliest
help asap
Answers
Hope that helps
Given f(x) = 5x - 3 , solve for when f(x) = 7
Answers
Answer:
32
Step-by-step explanation:
f(x) = 7, so:
5 · 7 - 3= 35 - 3 = 32
Answer:
x = 2
Step-by-step explanation:
f(x) = 5x - 3
7 = 5x - 3
10 = 5x
2 = x
So, x = 2
Jason drove 110 miles in 2 3/4 hours. What was Jason's speed in miles per hour?
Answers
Answer:
It is 40 miles per hour.
Step-by-step explanation:
turning the 2 3/4 to 2.75, you can divide 110 by 2.75 to get 40.
brainliest if i am right? uwu
GIVING BRAINLIEST
How can you use 2,4,6,8 to equal 80 without using the numbers twice?
Answers
[tex]8 (\sqrt{4} \times 2 + 6) \\ \sqrt{4} = 2 \\ 2 × 2 = 4 \\ 4 + 6 = 10 \\ 8(10) = 80[/tex]
(-11)+(-11) i will give brainllest
Answers
Answer:
the answer is -22
Step-by-step explanation
Enter the range of values for x:
B
4x - 8
20°
C
8
D
11
А
[?]
Enter
Answers
The range of values for x would be 6 < x < 8.
Isosceles triangle:It is a triangle with two equal angles or two equal side.Angles opposite to the equal sides of an isosceles triangle are also equal.Angle bisector is perpendicular to the base in an isosceles triangle.What is angle bisector?"It is a ray/line that divides an angle into two equal parts."
From figure,
BD is perpendicular to the base AC.
Since BD is an angle bisector,
⇒ 4x - 8 = 20
⇒ 4x = 20 + 8
⇒ 4x = 28
⇒ x = 28/4
⇒ x = 7
Therefore, the range of the values for x would be,
6 < x < 8.
Learn more about isosceles triangle here:
https://brainly.com/question/10147636
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In the following activity, match each pair of equivalent expressions.
1 . (7 - 2x) + (3x - 11) 2(x - 2)
2 . -3x + 6 + 4x (x + 14) - (8 - 2x)
3 . -2x + 9 + 5x + 6 3(x + 5)
4 . 9x - 2(3x - 3) -4(x + 1) + 5x
5 . -7 + 6x - 4x + 3 (7 + 5x) + (-4x - 1)
Answers
Answer:
1. -8+3x
2. 51x-2+4x2 (squared)
3. 66x +324
4. 6x+2
5. 13 +13x
Step-by-step explanation:
I don't think I really understand the question but I tried to simplify the equations
What is x in x4 - 2x3 - 3x2 = 0
Answers
Geology in 1668, the Hope diamond was reduced from its original weight by about 45 carats, resulting in a diamond weighing about 67 carats. Write and solve an equation to find how many carats the original diamond weighed. Answer:
Answers
Answer: W = 112 carats
Step-by-step explanation: Let W be the original weight.
So we have
W - 45 = 67 add 45 to both sides
And that equals 112 carats
. The equation = can be used to find how many hours h a person needs to work to earn $200 at $8 per hour. How many hours does a person need to work to earn $200?
Answers
Answer:
0.04 h
Step-by-step explanation:
The given equation is :
8h=200
It is used to find hours h a person needs to work to earn $200 at $8 per hour.
We need to find no of hours does a person need to work to earn $200. It can be calculated as follows :
[tex]\dfrac{8h}{200}=\dfrac{200}{200}\\\\h = 0.04\ h[/tex]
So, for $200, the person will need 0.04 h.
Anthony cut a piece of metal that weighed 2,700 grams.Dianne cut a piece of metal that weighed 3,200 grams.how much heavier was Dionne's piece, in kilograms
Answers
Answer:
500 g
Step-by-step explanation:
What is the Lcm of 168?
Answers
Answer:
6
Step-by-step explanation:
If k=4 then the remainder of (x^3-7x+k)/x+1 is 2. True or False?
Answers
Answer:
Step-by-step explanation:
It would be true
Answer:
k=2 so false
Step-by-step explanation:
answer question bellow!!!
Answers
how many solutions exist for the given equation? 0.75(x+40)=0.35(x+20)+0.35(x+20)
please hurry
Answers
Answer:
only one
Step-by-step explanation:
0.75x+30=0.35x+7+0.35x+7
x=-320
What is the least possible value of x if x^2 + 21 = 30
Answers
Answer:
Least possible value of x is 3
Step-by-step explanation:
Given:
x² + 21 = 30
Find:
Value of x
Computation:
x² + 21 = 30
x² = 30 - 21
x² = 9
x = √9
x = 3
Least possible value of x is 3
Hey I need help with my math work
Answers
Step-by-step explanation:
what is the question?????
Answer:
Where is the question???
Step-by-step explanation:
Students make 97.5 ounces of liquid soap for a craft fair. They put the soap in 7.5-ounce bottles and sell each bottle for $5.50$. How much do the students earn if they sell all the bottles of liquid soap? Explain.
Answers
Answer:$71.50
Step-by-step explanation:
Hello!
So first you want to find out how many bottles of soap you can make
To do that you want to divide how many ounces you have by how many ounces it takes to make 1 bottle
97.5 / 7.5 = 13
So you know you can make 13 bottles of soap
So now you want to multiply the number of bottles of soap that can be made by the amount of money you can make per bottle
13 * 5.50 = 71.50
So you know that the students can make $71.50
Need help ASAP!!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
x² + 3x + 7 = 5 ( subtract 5 from both sides )
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x ( zero product rule )
x + 2 = 0 → x = - 2
x + 1 = 0 ⇒ x = - 1
--------------------------------------------------------------
x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )
3x² - 5x - 2 = 0 ← in standard form
(3x + 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]
x - 2 = 0 ⇒ x = 2
------------------------------------------------------------
(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify
x² + 6x + 9 + 4x = 0
x² + 10x + 9 = 0 ← in standard form
(x + 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 1 = 0 ⇒ x = - 1
HELP ME WHAT IS THE ANSWER FOR Divide 758,908 ÷ 72 and indicate the remainder, if any. Use long division.
Answers
Answer:
10540.3888889
Step-by-step explanation:
May I have brainliest please? :)
What is the best estimate of
18
×
709
?
A.
9,000
B.
14,000
C.
18,000
D.
22,000
Answers
Answer:
B. 14,000
I hope that this helps you, have a wonderful day!
The best estimate from the option is 14,000 since 14,000 is the nearest value from the option to 12763.
Given,
18 x 709
We need to find the best estimate.
How do multiply numbers?We need to multiply each number of one number with the other number and add them to get the product.
Example:
21 x 34 =
21 x 3 = 63
21 x 4 = 84
2 1
x 3 4
84
+ 63
71 4
We have,
18 x 709
We can write it as:
709 x 18
709 x 8 = 5672
709 x 1 = 709
709
x 18
5672
+ 709
12762
Thus the best estimate from the option is 14,000 since 14,000 is the nearest value from the option to 12763.
Learn more about how to multiply numbers here:
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Use the diagram to find the measures of all the angles, given that m/2 = 159º.
2
3
4
m 21
m23
m24
Answers
M 3=21 degrees
M 4=159 degrees
Write an equation in the form y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).
Answers
Answer:
Y=-15/2x
Step-by-step explanation:
The equation of line in the form y=mx is y=-15/2x
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given coordinates:
(2, -15) and (6, -45).
Now, slope for the equation
slope= [tex](y_2 - y_1)/ (x_2- x_1)[/tex]
slope= (-45 - (-15))/ (6 - 2)
slope= (-45 + 15)/ 4
slope= -30/4
slope= -15/2
Hence, the equation of line in the form y=mx is y=-15/2x
Learn more about slope here:
https://brainly.com/question/3605446
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Luke Combs has a new CD coming out next summer. He will spend 4.3 hours each day in the recording studio for 23 days. How many hours total will he spend in the recording studio?
Answers
Answer:
98.9
Step-by-step explanation:
23x4.3=98.9 hours
If 8 containers of cold brew coffee cost $24.80, what is the constant of proportionality?
Answers
Answer:
3.1
Step-by-step explanation:
What is the greatest common factor of 14, 51 ,21
Answers
Answer:
The answer is 1
Step-by-step explanation:
14 = 2 × 7
51 = 3 × 17
21 = 3 × 7
If
you borrow $500 at 5% for two years, how much will you pay back by the end of the term?
Answers
Answer:
Your estimated monthly payments are $22 and you will pay $26 in interest over the life of the loan.
Step-by-step explanation: