Answer:
All
Step-by-step explanation:
I done this question before
Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
[tex] \frac{2x + 4}{(x + 2)(x - 4)} [/tex]
Answer:
[tex]\dfrac{2x+4}{x(x+2)(x-4)} \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}[/tex]
Step-by-step explanation:
Partial FractionsWrite out the expression as an identity:
[tex]\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+\dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\\implies \dfrac{x(2x+4)(x+2)(x-4)}{x(x+2)(x-4)} & \equiv \dfrac{Ax(x+2)(x-4)}{x}+\dfrac{Bx(x+2)(x-4)}{(x+2)}+\dfrac{Cx(x+2)(x-4)}{(x-4)}\\\\\implies 2x+4 & \equiv A(x+2)(x+4)+ Bx(x-4)+Cx(x+2)\end{aligned}[/tex]
Calculate the values of A, B and C using substitution:
[tex]\begin{aligned}2x+4 & = A(x+2)(x-4)+Bx(x-4)+Cx(x+2)\\\\x=4 \implies 12 & = A(0)+B(0)+C(24)\implies C=\dfrac{1}{2}\\\\x=-2 \implies 0 & = A(0)+B(12)+C(0) \implies B=0\\\\ x=0 \implies 4 & = A(-8)+B(0)+C(0) \implies A=-\dfrac{1}{2}\end{aligned}[/tex]
Replace A, B and C in the original identity:
[tex]\begin{aligned}\dfrac{2x+4}{x(x+2)(x-4)} & \equiv \dfrac{A}{x}+ \dfrac{B}{(x+2)}+\dfrac{C}{(x-4)}\\\\& \equiv -\dfrac{1}{2x}+\dfrac{1}{2(x-4)}\\\\\implies \dfrac{2x+4}{x(x+2)(x-4)}& \equiv \dfrac{1}{2(x-4)}-\dfrac{1}{2x}\end{aligned}[/tex]
A line contains the points (3, 2) and (6, 0). What is the equation of the line?
A
y = 3x + 2
B
y = 2x - 2
C y = -2x+3
D
2/3x+4
PLEASE HELPPP ITS WORTH 20 points!!!
Answer:
tanD =4/7
Step-by-step explanation:
tanD = P/B
Where P=4 and B=7
So;
tanD=4/7
hey guys my last question please answer :) peace and love guys
Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is. Let us first determine what range is.
Range ⇒ Range is what y-values can be used in the function that is graphed. For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5. Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.
Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.
DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.
The Dilation is 0.76
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
Dilation or scale factor= Dimension of new shape/ dimension of old shape
= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)
= 8.3/10.9
= 0.76
Hence, the scale factor is 0.76.
Learn more dilation here:
https://brainly.com/question/13176891
#SPJ1
For 33 hours of work, you are paid $245.85. how much would you receive for 39 hours?
Answer:
$290.55
Step-by-step explanation:
We can use a ratio to solve
33 hours 39 hours
---------------- = -------------
245.85 x dollars
Using cross products
33 * x = 39* 245.85
33x=9588.15
Divide each side by 33
33x/33 = 9588.15-33
x =290.55
is (0,0) a solution to this system? y ≤ x^2 + x - 4 y < x^2 + 2x + 1
( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’
Finding the solution for the inequality is as follows:-
y ≤ x² +x-4 by putting x and y equal to 0.
0 ≤ 0 + 0 -4
0 ≤ - 4
This is incorrect so (0,0) can not be the solution for this inequality.
y < x²+2x+1.
0 < 0 + 0 + 1
0 < 1
This inequality is showing the solution for (0,0)
Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ1
Which statements are true about the solution 2< x -7
Here the options
First one to reply within 5 minutes gets 100 points and brainlist
B. x > 9
D. The graph has open circle.
F. The arrow to the right.
Solving Steps:⇒ 2 < x - 7
⇒ 2 + 7 < x
⇒ 9 < x
⇒ x > 9
Explanation:Here as the inequality sign is ">" it will be a open circle.
Note: "≤" and "≥" inequality signs have closed circle.
As x > 9, the arrow points will be towards right.
What is the median pumpkin weight?
Answer:
17
Step-by-step explanation:
The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:
[tex]10, 12, 14, 16, 18, 20, 22, 24[/tex]
Since there is an even number of data values in this data set, there are two middle numbers. With 8 data values, the middle numbers are the data values at positions 4 and 5. These are 16 and 18. The median is the average of these numbers. We have
[tex]{\frac{ 16 + 18 }{2}}[/tex]
Therefore, the median is
[tex]17[/tex]
Look at the image below and figure it out i have 10 min
Answer:
The first one is Perimeter The second one is Area The third on is Volume.
Step-by-step explanation:
A box big enough to hold a computer is the area of something, A fence to go around the garden would be the perimeter, enough carpet to cover the floor is the volume
A fence to around a flower garden ---> perimeter
A box big enough to hold a computer ---> volume
Enough carpet to cover the floor ---> area
What is perimeter?Distance around the outside of a shape.
What is volume?The number of cubic units that make up a solid figure; the amount of space the figure occupies. In Cubic Units, or units³.
What is area?The space or surface enclosed in 2-dimensional shape.
Using these definitions, it can be said that the fence acts as a perimeter surrounding a flower garden. Each side has a length.
A box big enough enough to hold a computer is the amount of space in the box to make it big enough to hold the computer (The volume of the box).
The amount of carpet to cover the floor is acting as a 2-dimensional shape scenario as the carpet is likely a standard typical shape such as a rectangle or square. Overall, enough to occupy a standard-sized room.
a washing machine was reduced in sale by 15% the sale price is now £238 what was the original price?
Answer:
£280
Step-by-step explanation:
238/0.85
WILL GIVE BRAINLIEST Help me please! The questions are in the photos below.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².
What is Pythagorean theorem?Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.
The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.
Read more on Pythagorean theorem here: https://brainly.com/question/23200848
#SPJ1
Someone help me with this
Answer:
radius = √35 mm or 5.916 mm
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]Here:
area of circle: 110 mm²π taken as 22/7Solve for radius:
[tex]\rightarrow \sf \pi r^2 = 110[/tex]
[tex]\rightarrow \sf \dfrac{22}{7} r^2 = 110[/tex]
[tex]\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35[/tex]
[tex]\rightarrow \sf r = \sqrt{35}[/tex]
Let's see
Area=110πr²=11022/7r²=110r²≈110(7)/22r²=770/22r=√770/22r=5.9mmAre any of these funtions?
Answer: The first and the fourth option
Step-by-step explanation:
Every input of a function can have only one output.
Option one is a function.
See the attached image as to why option two is not a function.
Option three has two outputs for the input value of "20" meaning it is not a function.
Option four is a function.
jasper
Please help me fast and thank you if you do
Answer:
8 > u > 6
Step-by-step explanation:
We have to solve this inequality as 2 separate inequalities.
==============================================================
Inequality 1 :
⇒ 10 > 5u/4
⇒ 5u < 10 × 4
⇒ 5u < 40
⇒ u < 8 [Box 1]
============================================================
Inequality 2 :
⇒ 5u/4 > 15/2
⇒ 5u/2 > 15
⇒ u/2 > 3
⇒ u > 3 × 2
⇒ u > 6 [Box 2]
============================================================
Solution :
⇒ 8 > u > 6
Write and simplify the expression equivalent to 2(7x + 3) + 9x.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to simplify the expression 2(7x+3)+9x.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
We need to multiply 2 times 7x and 3, and then add 9x.So, let's compute...
\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\//\\//\\\/
After performing multiplication we obtain
[tex]\star~\mathrm{14x+6+9x}[/tex]
Now add 9x:
[tex]\star~\mathrm{23x+6}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
add. express your answer in simplest form. 1/12 + 5/12
Answer:
The answer is 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{1}{12}+\frac{5}{12} = \frac{6}{12}\\ \\ \frac{6}{12} = \frac{1}{2}[/tex]They are both equivalent fractions. If you divide the numerator and denominator both by 6, you get 1/2.
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.
The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet
Determining shapeFrom the question, we are to determine the statement that describes the shape of the barrier
From the given information,
The barrier is 2.5 feet from the tomato plant in every direction.
This can be likened to a circle that has a radius of 2.5 feet.
Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference
If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet
Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option- A circle with a diameter of 5 feet
Here is the complete question:
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?
A circle with a radius of 5 feet
A square with diagonals 5 feet long
A square with sides 5 feet long
A circle with a diameter of 5 feet
Learn more on Determining shape here: https://brainly.com/question/3069141
#SPJ1
~Please help me with this q u e s t i o n~
Answer:
Point D
Step-by-step explanation:
[tex] \huge \qquad \sf Answer[/tex]
How to locate a point on a graph (x - y plane) :
The x - coordinate of a point on the graph shows its distance from y - axis and sign refers to its direction that is +ve sign means right side of y - axis and -ve sign means left side of y - axis.
We have been given its x - coordinate as 9, so the required point should be At a distance of 9 units from y - axis and in right side of y - axis.
And similarly, y - coordinate shows distance of point from x - axis, +ve for upward direction and -ve for downward direction.
and we have given the y - coordinate as 0, ao its distance from x - axis is 0. that means the point lies of x - axis.
And by Observing the points clearly we can figure out that the required point is D. that satisfy the condition.
The graph shows a probability distribution. What is P(X<3)?
The value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a probability distribution shown in the picture.
To find the probability P(X<3) = area up to 3
From the probability distribution:
P(X<3) = (1/2)×3×(0.20)
P(X<3) = 1.5×0.20
P(X<3) = 0.3
Thus, the value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
178x991x001 =? solve for brainiest
Answer:
176398Step-by-step explanation:
That comes out, hopefully it's not failing
Answer:
176,398
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
Professor Hopkins is grading the final exam. She notices that the
mean test score is 71, and the standard deviation is 6. The test
scores were normally distributed.
If there were 300 students in the data sample, how many would
have a test score between 71 and 83?*
*Round your answer to the nearest whole value.
students
Answer:
143
Step-by-step explanation:
The interval of interest extends from the mean score (71) to 2 standard deviations above the mean (71+2(6) = 83). The area under the normal distribution curve in this interval can be found using a suitable table, probability app, spreadsheet, or web site. It can also be found using the "empirical rule", which tells you that the 95% of the area is within 2 standard deviations of the mean.
__
Since the curve is symmetrical, and we're only interested in the area above the mean, the empirical rule tells us that 95%/2 = 47.5% of the sample will be in the range of interest.
0.475 × 300 = 142.5 ≈ 143
143 students will have a score between 71 and 83.
__
The attachment shows a calculator output for the same calculation. You will notice it is slightly different from the "empirical rule," which is only an approximation. Either way, we find 143 students have scores in the range.
Find the measure of the angle indicated
Answer:
59°
Step-by-step explanation:
Well, as you can see from the figure, the line WU is a diameter which means that it is a straight line. So, Angle WSU is 180° (Because straight angles are 180°)
Also, angle WSU is formed by addition of angle VSW and VSU. The value of VSU is given in the picture. So,
∠VSW + ∠VSU = 180°
∠VSW = 180° - ∠VSU
∠VSW = 180° - 121 (Because ∠VSU is given 121°)
∠VSW = 59°
Therefore, angle VSW is 59 degrees.
So, here you go. I hope you understand my explanation. Have a good day.
- Eddie
hypotenuse I think????????????????????????
Answer:
You have walked 7.0 steps
Step-by-step explanation:
You just add 4 steps by 3 steps, so 4+3=7
On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. What is the probability that Erin will not have a heart attack and the test predicts that she will?
A.
0.099
B.
0.201
C.
0.231
D.
0.469
what would i put in, in the blanks? please help, i don’t get this
The function f(x) is a logarithmic function with a horizontal asymptote of y=1. The range of the function is all real numbers greater than 1, and it is decreasing on its domain of x>0. The end behavior on the LEFT side is as x approaches zero, y approaches infinity, and the end behavior on the RIGHT side is as x approaches infinity, y approaches 1.
Which is not a function?
Can give brainliest!!
Answer:
3
Step-by-step explanation:
A function cannot have two y values for any value of x
answer three has two y values for x =1
e0.02t
where
The population of a town is modeled by the equation P = 16, 581e'
Prepresents the population tyears after 2000. According to the model, what
will the population of the town be in 2020?
CL
Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
X -6 -4 -1 3 4
f(x) 15 11
5 -3 -5
g(x) -36 -26 -11 9 14
O (0,9)
O (0, 3)
O (0, -3)
O (0, -9)
The y-intercept of linear function (f- g)(x) is (0,9)
How to determine the y-intercept?The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:
[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]
So, we have:
[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]
Evaluate
f(x) = -2x + 3
Also, we have:
[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]
Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
https://brainly.com/question/24896196
#SPJ1