Answer:
Where's the picture?
Expand.
Your answer should be a polynomial in standard form.
2x^2(9x^2 – 16)
easy algebra question below first correct answer gets brainliest if you put a link you will be blocked and reported
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of areas,
we know that, area of rectangle = length * width,
here, length = x-2 and width = x-1
hence, area = (x-2) (x-1)
==> area = x^2 -x -2x +2
==> Area = x^2 - 3x + 2
hence the Option D.) is correct
x+1/x-1-x-1/x+1=7/12
Given:
The equation is:
[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]
To find:
The value of x.
Solution:
Formulae used:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](a-b)(a+b)=a^2-b^2[/tex]
We have,
[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]
Taking LCM, we get
[tex]\dfrac{(x+1)^2-(x^2-1)^2}{(x-1)(x+1)}=\dfrac{7}{12}[/tex]
[tex]\dfrac{x^2+2x+1-(x^2-2x+1)}{x^2-1^2}=\dfrac{7}{12}[/tex]
On cross multiplication, we get
[tex]12(x^2+2x+1-x^2+2x-1)=7(x^2-1)[/tex]
[tex]12(4x)=7x^2-7[/tex]
[tex]48x=7x^2-7[/tex]
[tex]0=7x^2-48x-7[/tex]
Splitting the middle term, we get
[tex]7x^2-49x+x-7=0[/tex]
[tex]7x(x-7)+1(x-7)=0[/tex]
[tex](7x+1)(x-7)=0[/tex]
[tex]x=-\dfrac{1}{7},7[/tex]
Therefore, the values of x are [tex]-\dfrac{1}{7}[/tex] and [tex]7[/tex].
In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%
Answer:
D. 30%?
I'm not 100% sure but I think its D. Sorry if it's wrong.
The seniors and juniors at Sweet Valley High School are going on a trip to Busch
Gardens. The seniors filled 12 vans and 12 buses with 564 total students. The juniors
filled 6 vans and 13 buses with 492 students. How many students were in each van? In
each bus?
Solve the system of equations
Answer:
buses can hold 30 and vans can hold 17.
Step-by-step explanation:
Let the amount a van can hold be v and the amount a bus can hold be b.
12 vans and 12 buses totals 564: 12v + 12b = 564 (equation 1)
6 vans and 13 buses totals 492: 6v + 13b = 492 (equation 2)
Subtract 2 times equation 2 from equation1, we get 14b = 420.
Thus, b = 30.
Since 12v + 12b = 564, plugging in b=30, 12v + (12)(30) = 564, so v = 17.
The number of students filled in the van is 17, and number of students filled in the bus is 30.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as linear equation in one variable.
Let's suppose the total number of students in van is x, and the number of students in the bus is y
Now for the first scenario we can frame a linear equation in two variables such as:
12x + 12y = 564 or
x + y = 47 ....(1) (divide by 12 on both sides)
For the second scenario the linear equation in two variables becomes:
6x + 13y = 492 ....(2)
From the equation (1) take the value of x and plug in the equation (2), we get:
6(47-y) + 13y = 492
282 - 6y +13y = 492
7y = 492-282 (subtract 282 from both sides)
7y = 210
y = 30
Put this value in the equation (1), we get:
x + 30 = 47
x = 17 (subtract by 30 from both sides)
Thus, the number of students filled in the van is 17, and number of students filled in the bus is 30.
Learn more about the linear equation here:
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Find the missing side of the angle.
Need help,==== thank you!!
Answer:x=square root(239)
Step-by-step explanation:
The way to solve this is via the Pythagorean theorem(a^2 + b^2 = c^2)
a= a leg
b= another leg
c= hypotenuse
16^2 = square root(17)^2 + x^2
256 = 17+ x^2
239 = x^2
x=square root(239)
Solve for all values of x: (x + 1)² + 9 = 0.
Your friend built a model car the model is 5.7 inches long and is built on 1:36 ratio scale how long is the real car
it will be 205.2 inches!
heeeelp plsssssss :)
Answer:
The answer is D of course
Step-by-step explanation:
Y- intercept; when the value of X=0 so,
4(0) - 3y = 24
-3y=24 over -3 over -3 we get -8
PLEASE HELP!! 30 points :)
What's the volume of a cube with a side length of 11 inches
• 33 in
• 121 in
• 726 in
• 1331 in
Answer:
V= 1331in³
Step-by-step explanation:
Answer:
1331 in
Step-by-step explanation:
The graph below is an example of which type of function? On a coordinate plane, a function decreases, has a point of inflection, and then continues to decrease. quadratic linear cubic square root
Answer: its cubic
Step-by-step explanation:
The graph below is an example of a cubic type of function. Option C is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
1. A parabola is the graph of a quadratic function. As a result, the presented graph is not a quadratic function graph.
2. A straight line is represented by a linear function. As a result, the presented graph is not a linear function graph.
3. A cubic function's end behavior is opposite at both ends. We can see that the presented graph satisfies these requirements.
4. A square root function's graph resembles a half parabola. As a result, it can't be the graph of the square root function.
The graph below is an example of a cubic type of function.
Hence,option C is correct.
To learn more about the function refer:
https://brainly.com/question/5245372
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how can you tell if a function is linear by looking at the graph or the equation
A person at a restaurant gets a 35% discount on her total bill. If her bill was $120, how much is her discount? How much is the total bill?
Answer:
so the discount is 42 and the bill is $78
Step-by-step explanation:
0.35*120=42
discount is 42
120-42=78
the bill is $78
last question (arc length and area) thanks!!!
Answer:
[tex]m\angle ABC=60\textdegree[/tex]
Step-by-step explanation:
[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]
A bank teller had 125 Bills in $10 and $20 bills to start the day. If the total in her register was $1650, how many of each bill did the teller start off with ?
Answer:
40 twenties and 85 tens
Step-by-step explanation:
10x+20y=1650
10x+10y=1250
10y=400
y=40
#5 George took a 30 question math quiz. She got 10% of the questions incorrect. How many questions did she
get incorrect?
Answer:
3
Step-by-step explanation:
Number of Questions = 30
Percentage incorrect = 10%
10% = 10 / 100 x 30
= 300 / 100
= 3
George got 3 questions incorrect.
Please help me with this homework
Answer:
20km
Step-by-step explanation:
we need to find c, which is the hypotenuse of the right triangle.
we know the lengths of the legs, which are given as 16km and 12km
you might notice that 16km and 12km can both be divided by 4, which will then give is 4 and 3.
3,4,5 is a pythagorean triple-(the sums of the squares of 3 and 4 is equal to the square of 5).
The triple can be proved:
3²+4²=5²
9+16=25
25=25
that means the lengths of the triangle is a multiple of the triple 3, 4, and 5
so that means that c is 5*something
since 12 and 16 are 3*4 and 4*4 respectively, that means that c must be 5*4=20km
Hope this helps!
pls tell me what is 10+10
Answer: it’s 20 hope this helps:)
Step-by-step explanation:
Answer
The answer is 20
According to integration by parts method, ?f(x).g(x).dx is equal to:
A. f(x).?g(x).dx – ?(f?(x).?g(x).dx).dx
B. f(x).?g(x).dx + ?(f?(x).?g(x).dx).dx
C. - f(x).?g(x).dx–?(f?(x).?g(x).dx).dx
D. -f(x).?g(x).dx+?(f?(x).?g(x).dx).dx
Answer:
B is the answer
Step-by-step explanation:
[tex]f(x).?g(x).dx[/tex] + [tex]?(f?(x).?g(x).dx).dx[/tex] = [tex]?f(x).g(x).dx[/tex]
Hoped this helped.
The integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)
How to derive the rule of integration by parts
In this question we must derive a integration rule for the product of two functions that are integrable. The integration by parts method is inspired on the differentiation rule for the product of two differentiable functions, whose definition is shown below:
[tex]\frac{d}{dx} [f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x)\cdot g'(x)[/tex] (1)
If we integrate and used integral Calculus theorem on both sides of (1), then we have the following expression:
f(x) · g(x) = ∫ g(x) · df + ∫ f(x) · dg
∫ f(x) · dg = f(x) · g(x) - ∫ g(x) df
Therefore, the integral expression of the form ∫ f(x) · dg is equal to the composite expression f(x) · g(x) - ∫ g(x) df by applying integration by parts method. (Correct choice: A)
To learn more on integration by parts, we kindly invite to check this verified question: https://brainly.com/question/14402892
You know your parents left a 20% tip. If they left $16 for the tip, what was the cost of the meal?
Answer:
The meal cost 80 dollars
0.6c+2.5=3.22 solve for c
Can you combine 6 and 2i? Why or why not.
Answer:
u can with math u cant with history
Step-by-step explanation:
can i has brainliest
Answer:
no you can not because the 6 doesn't have the same variable as the 2
Step-by-step explanation:
Find the value of x that makes ADEF-AXYZ.
N
y
4.5
7.5
E
3x-12
12
D
F
15
Answer:
Go on Calculators-free math help
Step-by-step explanation:
go on there and type the anwer and it is free
In a school the number of students with blonde hair to the numberof student with brown hair is 4:5 what fraction of students have blonde hair
Answer:
4 / 9th of students have blonde hair
Step-by-step explanation:
Fraction of blonde hair students to brown hair students = 4 : 5
Fraction of students having blonde hair = Blonde hair ratio share / Total ratio
= 4 / 9th of students have blonde hair
what is 75 in standard notation?
Answer:
I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.
Step-by-step explanation:
hope this helps
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges. A diagram of the unfolded box is provided in figure, the shaded region represents the area
that was cut from the corners of the box. What is the largest volume of such a box?
Answer:
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
Step-by-step explanation:
length = 5 - 2x
width = 3 - 2x
heighth = x
x(5 - 2x)(3 - 2x)
x(15 -16x + 4[tex]x^{2}[/tex])
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
Given that,
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges.
The shaded region represents the area that was cut from the corners of the box.
We have to determine,
The largest volume of such a box.
According to the question,
The height will be x
The width will be (3 − 2 x)
And the length will be ( 5− 2 x)
.
The formula for volume will be,
[tex]Volume = Length \times Height \times Width\\\\[/tex]
Substitute the values in the formula,
[tex]Volume = x(3-2x).(5-2x)\\\\Volume = (3x-6x^{2}).(5-2x)\\\\Volume = 3x(5-2x) - 6x^{2}(5-2x)\\\\Volume = 15x - 6x^{2} - 30x^{2} + 12x^{3}\\\\Volume = 12x^{3} -36x^{2} + 15x[/tex]
Then,
To Find the derivative of the equation,
[tex]V = 12x^{3} -36x^{2} + 15x\\\\Differentiate\ with\ respect\ to\ x\ both\ sides,\\\\\dfrac{dv}{dx} = \dfrac{d(12x^{3} -36x^{2} + 15x)}{dx}\\\\V' = 36x^{2} - 72x+15[/tex]
The critical numbers by seeing where V ' = 0,
[tex]= 36x^{2} -72x +15\\\\= 3 ( 12x^{2} - 24x +5 )\\[/tex]
By using the quadratic formula or your calculator to solve for
x = 0.23, and 1.6
x = 1.6 is not in the domain since that would make one of our side lengths less than zero. x = 0.23
Plug x back into the equations to get the dimensions,
[tex]3-2x = 3- 2 \times -0.23 = 3+0.46 = 3.46\\5-2x = 5 - 2 \times -0.23 = 5+0.46 = 5.46[/tex]
Therefore, the dimension are 0.23 ft x 3.46 ft x 5.46 ft.
Hence, The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
To know more about Dimension click the link given below.
https://brainly.com/question/23288467
PLEASE HELP ASAP!!!!!!!
can someone help me with this pleaseee ill give you brainliest and points :)
HELP! find area! no links please:) also provide explanation
Answer:
A=30cm^2
Step-by-step explanation:
Area of a parallelogram is base X height
in this diagram base = 10 cm
height = 3 cm
3 X 10 = 30
Answer:
30 cm^2
Step-by-step explanation:
Formula of parallelogram = base * height
height = 3
base = 10
10(3) = 30
Can someone plzzz help me.
Answer: 17.62
Step-by-step explanation: