Answer:
x=−2, 2.6666
Step-by-step explanation:
Let's solve your equation step-by-step.
4=(1/2(2x+4+x))(x−2)
Step 1: Simplify both sides of the equation.
4=3/2 x2−x−4
Step 2: Subtract 3/2x^2-x-4 from both sides.
4−(3/2 x2−x−4)=
3/2 x2−x−4−(3/2 x2−x−4)
−3/2 x2 +x+8=0
For this equation: a=-1.5, b=1, c=8
−1.5x2+1x+8=0
Step 3: Use quadratic formula with a=-1.5, b=1, c=8.
x=−b±√b2−4ac
2a
x=−(1)±√(1)2−4(−1.5)(8)
2(−1.5)
x=−1±√49
−3
x=−2,2.66666666666666666666666666666
A stamp collector has 55 stamps from the United States, 30 stamps from Canada, and 15 from Mexico. If he were to close his eyes and randomly select 20 from his collection, about how many would you expect to be from Mexico?
In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?
Write the difference in factored form. (24x4 - 15x2 + 6x) - (10x4 + 5x2 - 4x)
Answer:
The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]
Step-by-step explanation:
Difference in non factored form:
To find the difference in non-factored form, we subtract the common terms. So
[tex]24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x[/tex]
Greatest common factor:
Of the exponents: Between [tex]x^4, x^2[/tex] and [tex]x[/tex], it is the one with the lowest exponent, so x.
Between 14, 20 and 10:
14 - 20 - 10|2
7 - 10 - 5
So 2
The gcf is 2x, which means that the factored expression is:
[tex]2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)[/tex]
The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]
Juan purchased a T-shirt for $18 plus sales tax. Sales tax is 4.5%. How much sales tax did Juan pay?
Answer:
$22.5%.....i think....not sure
Step-by-step explanation:
i've added $18 plus tax%.....not sure if its the answer
Answer: $5.63
Step-by-step explanation:
4.5% Divided By 100 To Get 0.045 Then I Multiplied That By $125 And Got 5.625 .. I Rounded It To $5.63
11 and 3/8 pounds of cat food were donated to the shelter
in a class the ratio of boys to girls is 3/2. if there are 12 boys in the class, how many girls are there?
Answer:
8
Step-by-step explanation:
3 times 4 is 12 and 2 times 4 is 8
Solve the simultaneous equations y=x-2 and y=3x+5
Answer:
x = -7/2........y = -11/2
Step-by-step explanation:
..….................
Forgive me if wrong
Plss this is timed will mark brain least if shown work!
Answer:
do 62.31/3 which is 20.77 so 1 shirt cost 20.77
now do 20.77+3.66 which is 24.43
so the answer is C. $24.43
n
What is the y-intercept of the equation 4x + 5y = 20?
0 (0.4)
0 (0.5)
0 (4.0)
(5.0)
M
Answer: (0,4)
Step-by-step explanation:
27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle
Answer:
[tex]Area = 3500[/tex]
Step-by-step explanation:
Given
[tex]Length : Breadth = 7 : 5[/tex]
[tex]Perimeter = 240m\\[/tex]
Required
Determine the area
The perimeter is:
[tex]Perimeter = 2(Length + Breadth)[/tex]
This is then represented as:
[tex]240 = 2(7x + 5x)[/tex]
[tex]240 = 2 * 12x[/tex]
[tex]240 = 24x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
So, the area is:
[tex]Area = Length * Width[/tex]
[tex]Area = 7x * 5x[/tex]
[tex]Area = 7*10 * 5*10[/tex]
[tex]Area = 3500[/tex]
P = 30x + 50y Corner that maximizes profit: (0, 6) What is the profit?
Answer:
The profit is 300.
Step-by-step explanation:
x = 0
y = 6
P = 30(0) + 50(6)
P = 0 + 300
P = 300
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
The required profit is 300.
What is profit?Profit in Math is considered as the gain amount from any business activity.
Now the given function of profit is,
P = 30x + 50y
The Corner that maximizes profit is (0, 6)
Thus, At (0, 6) the given function is given as,
Put x = 0 and y = 6 in the given function.
P(0, 6) = 30*0 + 50*6
⇒ P(0, 6) = 0 + 300
P(0, 6) = 300
this is the required profit.
Thus, the required profit is 300.
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hehe pls help i nneed it
Answer:
x = 32
Step-by-step explanation:
180 - 42 - 106 = x
x = 32
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answer:
[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Step-by-step explanation:
Given
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
[tex]M = x^2 - 5x - 50[/tex]
[tex]N = x^2 - 14x + 40[/tex]
Factorize both:
[tex]M = (x - 10)(x + 5)[/tex]
[tex]N = (x- 10)(x - 4)[/tex]
The LCM is
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
Hence, the common denominator is:
[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
Solving (b): Rewrite M
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
Factor the denominator:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]
[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
Solving (c): Rewrite N
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Factor the denominator:
[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]
[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
(d) Solve M + N
[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
Take LCM
[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]
Open brackets
[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]
Collect Like Terms
[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]
[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
-2(x+2)=1/4(-8x-16) how many solutions does it have
Answer:
infinite
Step-by-step explanation:
f(x)=2x + 2
g(x)= x – 5
Find f(x) + g(x)
I need help understanding how to do a problem like this
Thank you
Answer:
3x - 3
Step-by-step explanation:
f(x) + g(x)
(2x + 2) + (x - 5)
3x - 3
Please help test due in 1 hour and it’s a grade! Will give good review and brainliest!
There were 45 runners to start a race. In the first half of the race, 2/3
of them dropped out. In the second half of the race, 4/5
of the remaining runners dropped out. How many runners finished the race?
runners?
Answer:43 8/15
Step-by-step explanation:45-2/3 is 44 1/5 then subtract 44 8/15 by 4/5 and you get 43 8/15
write the letters of the words VERY WELL on 8 cards and put them in a bag. Shuffle them well.
Do the following:
What is the probability for a v to be drawn?
What is the probability for an E to be drawn?
What is the probability for an R to be drawn?
What is the probability for a Y to be drawn?
What is the probability for a W to be drawn?
What is the probability for an L to be drawn?
Answer:
1/8
1/4
1/8
1/8
1/8
1/4
Step-by-step explanation:
Probability a letter would be picked = total number of the letter in the bag /sum of letters in the bag
1. v,r,y,w appear once. the numerator would be 1 and the denominator would be 8 = 1/8
e and l would appear twice in the bag, so the numerator would be 2 and the denominator would be 8 = 2/8 convert to its simplest form = 1/4
Solve for x.
X -8 = -11
PLZ HELP I NEED ANSWER ASAP
Answer:
x= -3
Step-by-step explanation:
Compare and contrast how to graph: x = 5 and y = 3.
for brainliest!!!! please help :)
Answer:
area = 572.3 m²
Step-by-step explanation:
area = PiR²
r = 27/2
area = (3.14)(13.5²)
area = 572.3 m²
Can somebody help please #asap help w number 8
Answer:
y=4x bc each one is 4 so for one box it cost $4
Answer:
The expression will be y = 4x.
Step-by-step explanation:
First, we have to form expressions for number of boxes and total amount she earn :
Let x be the number of boxes,
Let y be the total amount,
Given that the costs of each box is $4 so in order to find the total amount, you have to multiply the number of boxes by 4 :
y = 4x
Write down the name of the solid.
Answer:
Cube
Step-by-step explanation:
A shirt costs 20$ if it was on sale for 75 percent off what is the discount
PLEASE HELP!! Eliminate the parameter in the equations y = t + 2 and x =t^1/2.How can the rectangular equation be described?
Answer:
Quadratic (I took the test)
Step-by-step explanation:
y=t+2 equals y-2=t
put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.
add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)
This is an example of a quadratic equation.
We have given that the equation
y=t+2 equals y-2=t
What is the quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.
put t in for x=t^1/2. this is x=(y-2)^1/2,
Squaring both sides we get,
x^2=y-2.
add 2 to both sides, which is y=x^2+2.
This is an example of a quadratic equation.
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what is the area of triangle ABC?? i need this asap
Answer:
A) 36√3
Step-by-step explanation:
First, figure out the height. Since it's an equilateral triangle, it would be
6²+B²=12²
36+B²=144
B²=144-36
B²=108
B=√108
B=√36x√3
B=6√3
Now we can get the area.
1/2(6√3)(12) = 36√3
Formula
=6s2
gives the surface area A of a cube with a side length s.
The surface area of a cube that has a side length of 5 inches is _______________inches squared.
*No need to label this answer.*. Please help me
Answer:
the surface area of the cube is 150 inches squared
Step-by-step explanation:
The computation of the surface area of the cube is shown below:
As we know that
The surface area of the cube is
= 6s^2
= 6(5)^2
= 150 inches squared
hence, the surface area of the cube is 150 inches squared
Solve for x...............
Answer:
x = 12 degrees
Step-by-step explanation:
They all have to add up to 360, so:
[tex]5x + 4 + 4x+9+7x+4+9x-6+4x+1=360\\29x + 12 = 360\\29x = 348\\x = 12[/tex]
If y=x+4 and y=3x+2, what must be true about x + 4 and 3x+2?
Answer:
x=1 must satisfy both equations.
Step-by-step explanation:
1)Y=X+4
2)Y=3X+2
IT Means x+4=3x+2
3x-x=4-2;
2x=2 ; x=1 must satisfy both equations
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
you can use a proportion to solve:
6/3=x/27
3x=27x6
3x=162
x=54
Answer:
I Know you already have an answer but its 5
Step-by-step explanation:
I dont mean to steal points and you still have no answer I just figured you already have an answer so I see no wrong in doing this