Answer:
4x2 + -4x + -48 = 0
4x2 + -4x + -48 = 0Reorder the terms:
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0Ignore the factor 4.
Step-by-step explanation:
hope it helps:)
Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.
No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution
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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A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?
Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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How can 7 1/5+-8 3/5 be expressed as the number of its integer and fractional parts?
A) -7+ -8+-1/5+-3/5
B) 7+ -8+1/5+-3/5
C) 7+ -8+1/5+3/5
D) -7+ -8+1/5+3/5
Answer:
-7/5
Step-by-step explanation:
7×5=35
35+1=36
7 1/5 = 36/5
8×5=40
40+3=43
8 3/5 = 43/5
36/5 - 43/5 = 36-43/5=-7/5
Answer:
7 +(-8) +1/5 +( -3/5 )
Step-by-step explanation:
I got it correct!
Brian painted 2/3 of a fence in 3/4 of a day. How long will it take him to paint the entire fence?
Answer:
9/8 days
Step-by-step explanation:
If it takes him 3/4 of a day to paint 2/3 of a fence, it would take him 9/8 days to paint the whole fence ((3/4)/(2/3)).
You can think of it like this:
It would take 3/8 of a day to paint 1/3 of a fence. So to find how long it takes to paint the whole fence, multiply 3/8 by 3.
The speed of sound is about 3.4 x 10^2 meters per second. Mark is performing a science experiment and he needs to know how far sound travels in
3 x 10^10 seconds. If mark uses a calculator to solve his problem, how will the calculator show his answer?
Answer:
no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answer:
Step-by-step explanation:
B
Determine the intercepts of the line. Do not round your answers. 2 x + 5 y = − 6
The y-intercept for the line, 2x + 5y = -6, is: 1.2.
Equation of a Line in Slope-Intercept FormThe equation of a line can be represented in slope-intercept form as: y = mx + b."b" is the y-intercept.Given:
2x + 5y = -6
Rewrite in slope-intercept form
5y = -2x - 6
Divide both sides by 5y = -2/5x - 6/5
"b" = -6/5 = 1.2
Therefore, the y-intercept for the line, 2x + 5y = -6, is: 1.2.
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To rent movies from the
store, a person has to pay an
annual membership fee of
$20 plus $2.50 for each movie
rented.
n 2017 Marie De Los Reyes. "A
The equation is y=2.50x+20.
The length of a rectangle is 5 in longer than its width.
If the perimeter of the rectangle is 74 in, find its length and width.
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya
nooooooooo yuppp
lablots
0.12222 as a fraction
A rectangular prism has a length of 5/6 inches and a width of 3/5 inch. The volume of the prism is 2/3 cubic inch. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form
Answer: 1 1/3 inches
can someone see if i did them right?
Answer:
Yes your answer is right. You did well
Which number line represents the solution to the inequality below? *PLEASE ANSWER AND SHOW ALL WORK*
find the measures of the angles labeled in the figure on the right.
Answer:
3,4 the answer
You and a friend are discussing how many sections you completed so far in algebra one you tell your friend I finish three times as many sections as you your friend replies you’ve only finished four more sections and I have how many sections have you and your friend completed
Answer:
4
Step-by-step explanation:
There are a total of 6 sections that have been completed by him and his friend.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the section be finished by one is y, and finished by his friend be x.
According to 1st condition,
y = 3x - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2
Now,
y = 3x
y = 3 * 2
y = 6
Thus, there are a total of 6 sections that have been completed by him and his friend.
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The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?
A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds
Answer:
It is 5 seconds option C
Step-by-step explanation:
When the ball would hit the ground, h would reduce 0.
We can equate the R.H.S to 0.
∴ 0= -16t²+64t+80
0 = t² - 4t - 5 (dividing both sides by -16)
0 = t²+t - 5t -5 (by splitting the middle term)
0 = t ( t+1) -5 (t+1)
0= (t-5) * (t + 1)
when t-5=0 ; when t+1=0
t =5 ; t= -1 time cannot be -ve
∴ t= 5 seconds
Hope this helps you.
Answer:
C) 5 seconds
Step-by-step explanation:
Given equation:
[tex]h=-16t^2+64t+80[/tex]
where:
h = height of a ball above the ground (in feet).t = time (in seconds).The ball hits the ground when the height is zero.
Therefore, substitute h = 0 into the given equation and solve for t.
[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies t+1=0 \implies t=-1[/tex]
[tex]\implies t-5=0 \implies t=5[/tex]
As time cannot be negative, t = 5 only.
Therefore, it takes 5 seconds for the ball to hit the ground.
pls answer the question below
In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters directly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?
Write your answer as a whole number.
centimeters per minute upstream
Answer:
It would approximately be 3.73 m/h
Step-by-step explanation:
0.8 mins is 48 seconds
I then divided 8000 by 48 seconds to see how many cm it traveled per second.
It traveled 166.666666667 cm per second
I then converted cm to feet
so it was 5.468066491699474 feet per second
I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.
Then I multiplied it by 60 so it was 0.06213711922 miles per minute.
Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.
I rounded it to the nearest hundredth making it 3.73 m/h
3+3+3+34+5+6+7+7+[tex]2+2[/tex]
Answer:
72
Step-by-step explanation:
Hope it helped brainiest plz
Giving answer branleist
Answer: 67/100
Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100
The line y=−0.5x+b passes through the points (1,5.5), (3,p), (4,4), and (7,n). Find b, n, and p.
Step-by-step explanation:
Finding b
If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:
Using (4,4)
⇒ y - 4 = - 0.5 (x - 4)
y - 4 = - 0.5 x + 2
y = -0.5 x + 6
∴ b = 6Calculating 'n' and 'p'
We can find n and p by plugging the points into the newly found equation y = -0.5 x + 6.
For n using (7, n)
since y = -0.5 x + 6
n = -0.5 (7) + 6
∴ n = 2.5For p using (3,p)
since y = -0.5 x + 6
p = - 0.5 (3) + 6
p = - 1.5 + 6
p = 4.5Checking the answer
We can check the answer we got in two ways:
We could also have found n a different way:Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂) respectively
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
- 0.5 = (n - 4) ÷ (7 - 4)
- 0.5 = ⁿ⁻⁴/₃ [multiply both sides by 3]
- 1.5 = n - 4 [add four to both sides]
n = 2.5 [this matches the value of n we found]
We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.
Determine the product of the binomial -5x-7 and the trinomial
3x2-4x-5. To earn full credit, show your work using a method explained in
the Orientation
Answer:
[tex]( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35[/tex]
I hope I helped you^_^
The product of sum and difference of two binomial like (x+y) and (x-y) isof two squares. (FERFENCEID)
The product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
The first number = x
The second number = y
The sum of the two numbers = x + y
The difference of the two numbers = x - y
The product of the sum and the difference = (x+y)(x -y)
Note that the product of the sum and the difference = (x + y)(x - y)
This can be expanded by distributivity as shown below:
(x + y)(x - y) = x² + xy - xy - y²
(x + y)(x - y) = x² - y²
This is the difference of two squares.
Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
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what is the value of x 3/6x+9 =12
Answer:
x=6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?
Answer:
Given x = 2 and y =4
so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]
= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]
= 16 + (2*4)/4
=16 + 8/2
16 + 2
=18
Step-by-step explanation:
To make papier-mâché, Emma uses 3/4 cup of white school glue for each batch. For a big project, she will make 11 batches of papier-mâché. Emma has half of 1-gallon bottle of white school glue. Does Emma have enough glue?
Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
Note that 1 gallon = 16 cups
Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups
Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:
= 8 ÷ 3/4
= 8 × 4/3
= 10 2/3
Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
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HELP
15.4 = -2.1 + a/0.2
i'll give brainliest
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.
Answer:
32%
Step-by-step explanation:
65x50÷100
plz make brain list
Solving Two Step Equations
9x + 6/3 = 5x + 2
Answer:
x = 0
Step-by-step explanation:
In this case it isn't exactly 2 steps, but you can still solve it.
First, simplify. Divide 6 with 3:
9x + (6/3) = 5x + 2
9x + 2 = 5x + 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:
9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)
9x - 5x = 2 - 2
4x = 0
Divide 4 from both sides of the equation to isolate the variable, x:
(4x)/4 = (0)/4
x = 0/4 = 0
x = 0 is your answer.
~
Answer:
4x+5
Step-by-step explanation:
9x+6/3=5x+2=9x-5x=4x+3+2=4x+4
