Answer:
See below.
Step-by-step explanation:
SQUARE:
The area of the square is:
[tex]9x^2-12x+4[/tex]
Factor it:
[tex]=9x^2-6x-6x+4\\=3x(3x-2)-2(3x-2)\\=(3x-2)(3x-2)\\=(3x-2)^2[/tex]
Remember that all four sides of a square is equal. The area is simply the side squared. Therefore, all four sides of the square measure (3x-2).
RECTANGLE:
[tex]25x^2-16y^2\\[/tex]
Factor it. This resembles the difference of two squares, where:
[tex](x-a)(x+a)=x^2-a^2[/tex]
[tex]25x^2-16y^2\\=(5x)^2-(4y)^2\\=(5x-4y)(5x+4y)[/tex]
This cannot be simplified further. Note that the sides of rectangles doesn't necessarily have to be the same.
The dimensions of the rectangle is:
(5x-4y) by (5x+4y)
Answer:
Step-by-step explanation:
1. the area of square is 9x^2-12x+4 square units
shortcut: (a-b)^2= a^2-2ab+b^2
then simplify 9x^2-12x+4 to (3x-2)^2
area of square = s^2
then side equals sqrt((3x-2)^2)
s = (3x-2) units
2. the area of rectangle is (25x^2-16y^2) square units
shortcut: (a^2-b^2) = (a-b)(a+b)
then simplify (25x^2-16y^2) to (5x-4y)(5x+4y) square units
one side is: (5x-4y) units
one side is (5x+4y) units
Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4
Answer:
Step-by-step explanation:
P (m) = a (m + 1) + b (m + 1) - c (m + 1)
P (m) = (a + b - c) (m + 1)
There are 2 prime factors
Find f. f '''(x) = cos(x), f(0) = 8, f '(0) = 4, f ''(0) = 9 f(x) =
======================================================
Work Shown:
f ''' (x) = cos(x) .... third derivative
f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end
We are given f '' (0) = 9, so we'll make use of this to find C
f '' (x) = sin(x)+C
f '' (0) = sin(0)+C
9 = sin(0) + C
9 = 0 + C
9 = C
C = 9
Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9
------------
Integrate both sides of the second derivative to get the first derivative function
f '' (x) = sin(x)+9
f ' (x) = -cos(x)+9x+D ... D is some constant
Make use of f ' (0) = 4 to find D
f ' (x) = -cos(x)+9x+D
f ' (0) = -cos(0)+9(0)+D
4 = -1 + 0 + D
D = 5
So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5
------------
Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.
f ' (x) = -cos(x)+9x+5
f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant
f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E
8 = 0 + 0 + 0 = E
E = 8
------------
We have
f(x) = -sin(x) + (9/2)x^2 + 5x + E
turn into
f(x) = -sin(x) + (9/2)x^2 + 5x + 8
What is 3.41 (where the .41 is repeating) written as a fraction?
Please help!!
Answer:
41/99
Step-by-step explanation:
There are two types of non terminating decimals. These are: Simple and Mixed
The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.
And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.
So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.
Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.
And the numerator will be the decimal number that keeps repeating itself without the repeating bar.
Therefore, the answer is 41/99.
Hope it helps ;) ❤❤❤
What are the points
Answer:
Step-by-step explanation:
x-y=6
(0,-6),(6,0)
4x+y=4
(0,4),(1,0)
point of intersection:
Answer:
for first eq
three points are (7,-1) (6,0) and (5,1)
for second eq
three points are (1,0) (0,4) and (-1,8)
point of intersecton is (2,-4)
Step-by-step explanation:
check by substituting if u want
hope i helped
pls give brainliest
im trying to level up
Please HELP me with this question! I am really struggling with this...
A) 22°
Step-by-step explanation:∡DBG = (360° - BD - BG)/2
= (360° - 170° - 146°)/2
= 44°/2
= 22°
which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)
Answer:
y = -2/3x - 2
Step-by-step explanation:
Step 1: Find slope m of perpendicular line
Simply take the negative reciprocal of the given line
m = -2/3
y = -2/3x + b
Step 2: Find b
6 = -2/3(-12) + b
6 = 8 + b
b = -2
Step 3: Rewrite perpendicular equation
y = -2/3x - 2
An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time?
a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.
------------------
b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.
------------------
c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.
------------------
d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.
can someone help me please
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?
Answer:
9 and 23
Step-by-step explanation:
Let x be smaller length in inches.
x+3x-4=32
4x=36
x=9
9*3-4=23
So they're 9 and 23 inches long.
The lengths of the two parts of the pipe are 9 and 23 inches long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let x be the smaller length in inches.
x + 3x - 4 = 32
4x = 36
x =9
Now substitute;
9*3 - 4 = 23
Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.
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write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
I really need help please
Answer:
1. 2.997
2. 29.93
Step-by-step explanation:
1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.
2. Same thing, gotta multiply all given values
Which is the simplified form of x Superscript negative 12?
Answer:
1/x^12
Step-by-step explanation:
X^-12....simply move x^-12 to the other side of the division and change the sign of the exponent.
The simplified form of the expression x Superscript negative 12 is 1/ x¹².
What is the rule of exponent?The rule of the exponent is defined as the simplified form of the exponents
(aᵇ)ⁿ = aᵇⁿa⁻ⁿ = 1/aⁿaᵇ * aⁿ = aᵇ⁺ⁿaᵇ / aⁿ = aᵇ⁻ⁿwhere a is the base and b and n are the exponent.
Here given in the question is the expression that x superscript negative 12.
As we now superscript is to write the number in exponent position.
here -12 is written in the superscript of x.
then the mathematical expression will be converted as
x superscript negative 12 = x⁻¹²
As we know from the rule of exponent that a⁻ⁿ = 1/aⁿ where a is the base and n is the exponent.
x⁻¹² can be rewritten as x⁻¹² = 1/ x¹²
Therefore the simplified form of the expression x Superscript negative 12 is 1/ x¹².
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I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?
Answer:
y = -2/3x + 4
Step-by-step explanation:
In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.
The number with which "x" is multiplied is the slope.
So in this case, the slope is -2/3; so the equation should be like -2/3x.
The y-intercept is 4, so it is the number with which no variable is multiplied.
So the equation is:
=> y = -2/3x + 4
En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px
Answer:
Px = $4
Step-by-step explanation:
Given that:
En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px
El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;
Qdx = 10000(12-Px)
Qdx = 120000 - 10000Px
Qsx = 1000(20 Px)
Qsx = 20000 Px
El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:
Qdx = Qsx
120000 - 10000 Px = 20000 Px
120000 = 20000 Px + 10000 Px
120000 = 30000 Px
Px = [tex]\mathbf{ \dfrac{120000}{30000}}[/tex]
Px = $4
Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0
[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]
Can someone help me find the surface area
Answer:
144 m²
Step-by-step explanation:
top triangle area: (8 x 6) / 2 = 24
bottom triangle area: (8 x 6) / 2 = 24
back rectangle area: 8 x 4 = 32
left rectangle area: 6 x 4 = 24
right rectangle area: 10 x 4 = 40
add all: 144 m²
Answer:
There are 5 surfaces for which you will have to calculate area.
the back is 4 by 8 = 32 mi^2
The bottom is 4 by 6 = 24 mi^2
the tilted ramp 4 by 10 = 40 mi^2
There are 2 side triangles 8 by 6 area of 1 triangle = 8*6/2 = 24 mi^2
area of BOTH triangles = 2 * 24 = 48 mi^2
Total area = 32 + 24 + 40 + 48 = 144 mi^2
Step-by-step explanation:
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
ту
g(x)
f(x)
k= -4
k= -1/4
k= 1/4
k= 4
ASAP!!!!
Answer: C
1/4
Step-by-step explanation:
Given a graph for the transformation of f(x) in the format g(x) = f(kx),
This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.
Therefore, the value of k will be 1/4.
Answer:
k=4
Step-by-step explanation:
PLEASE HELP. I WILL REWARD BRAINLY TO WHO EVER ANSWERS CORRECTLY. (ignore selected answer) Recalling the SAT scores are always expressed as multiples of 10, how many points did you get on the test?
Answer:
C
Step-by-step explanation:
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units
This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
The value of x is 11
Start by calculating the area (A) of the trapezoid using
[tex]A= 0.5 * (a + b)h[/tex]
Using the parameters from the complete question, we have:
[tex]63 = 0.5 * (7 + x) * 7[/tex]
Multiply both sides by 2
[tex]126 = (7 + x) * 7[/tex]
Divide both sides by 7
[tex]18 = 7 + x[/tex]
Subtract 7 from both sides
[tex]x = 11[/tex]
Hence, the value of x is 11
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Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?
Answer:
The total revenue will decrease.
Step-by-step explanation:
The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.
How many pairs of points are reflections across the x-axis?
A)1
B)2
C)3
D)4
Answer:
C. 3
Step-by-step explanation:
C&D, A&F, K&J
The pairs of points are reflections across the x-axis will be 3. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.
Therefore, the pairs of points that are reflections across the x-axis will be 3.
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HELP
Kevin has $25 in his checking
account. If Kevin has $2.20
less than 4 times the amount
that Molly has in her
account, what is the
amount of money in
Molly's account?
Answer:
$6.8
Step-by-step explanation:
Let x be the amount of money in Molly's amount
according to question,
4x-25=2.20
4x=2.20+25
4x=27.20
x=27.20/4
x=6.8
So,the amount of money in Molly's amont is $6.8
Answer: $6.80
Step-by-step explanation:
We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.
25 = 4m -2.20 solve for m.
+2.20 +2.20
27.20 = 4m
m= 6.8
4(6.8) = 27.20 - 25 = 2.20
{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?
Answer: the answer is b(5)
Step-by-step explanation:
To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.
Answer:
b(3)=-16
Step-by-step explanation:
We have to figure out the second term
b(2)=b(1)-7
b(2)=-2-7
b(2)=-9
and now the third one
b(3)=b(2)-7
b(3)=-9-7
b(3)=-16
I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared
Answer:
[tex]24200 mm^{2}[/tex]
Step-by-step explanation:
200*50+200*50+70*60
=24200 mm^{2}
Allen and Stephan went shopping for Mother's day. Stephan spent $30 for 4 roses and 2 CDs. Allen bought 2 roses and 3 CDs for $40. What was the cost of a rose and a CD?
Answer:
work is shown and pictured