Answer:
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Step-by-step explanation:
[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]
[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]
[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]
[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Answer:
2
Step-by-step explanation:
Which number makes the equation true?
blank divided by thirty equals one-sixth
A. 5
B. 6
C. 15
D. 60
By how much is 5 over 6 greater than 3 over 4
Answer:
By 1/12Step-by-step explanation:
5/6 - 3/4 = 10/12 - 9/12 = (10 - 9)/12 = 1/12Determine the center and radius of the following circle equation:
Answer:
Hello,
Step-by-step explanation:
[tex]x^2+y^2+6x+18y-10=0\\\\x^2+6x+9+y^2+18y+81-9-81-10=0\\\\(x+3)^2+(y+9)^2=10^2\\\\\\center=(-3,-9)\\radius=10\\[/tex]
Caculate the value of x on the figure below
Answer:
x = 58
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended by the same arc, thus
x + 62 = 2(x + 2)
x + 62 = 2x + 4 ( subtract x from both sides )
62 = x + 4 ( subtract 4 from both sides )
58 = x
12. Solve the systems of linear equations using the substitution method.
x=y - 2
4y = x + 23
Answer:
x=5 and y=7
Step-by-step explanation:
x + 2 = y (equation 1)
x + 23 = 4y (equation 2)
(equation 2) - (equation 1)
This gives,21 = 3y
y = 21/3
y = 7.
Put y = 7 into equation 1 to find x
x + 2 = 7
x = 7 - 2
x = 5.
rationalise 3 square root 2 divided by square root 3
Answer:
root3
Step-by-step explanation:
multiply the numerator and denominator by the root of 3
3root2×root3/root3×root3
3root6/3
note root3×root3=3
the 3 up will divide the 3 down
and that lives u with the answer root2
sorry currently won't have a way of writing the roots thats y am using words
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
12x +4y = 15232x +12y = 420These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
Comment on Cramer's Rule
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
11
Step-by-step explanation:
quick mafs
Today, Ling is going to an art museum to see a special exhibit. It takes Ling 45 minutes to walk to the subway station. She will ride the subway for 45 minutes and then walk 15 minutes to the art museum. If Ling needs to be at the art museum by 9:30 A.M., what is the latest time she can leave her house?
Answer: 7:55
Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30
What is the range of the function graphed below? PLEASE ANSWER ASAP
This is a more complicated way to write [tex]y < 2[/tex]
The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.
In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".
I NEED HELP PLEASE !!!!
Answer:
No, all of her work is correct.
Step-by-step explanation:
Answer:
No, all of her work is correct.
Step-by-step explanation:
All of her work is correct.
The first step is showing factorization of √50
The second step is simplifying the factorization
The third step is simplifying the entire radical.
When you take a square root of a square, they cancel out, so:
√5² = 5
We multiply it with our leftover √2 and we get:
5√2
A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
rate of flow in liters per minute. Round your answer to the nearest hundredth
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........
Answer:
30 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 6 and h = 10 , thus
A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²
and 7² = 7 × 7 = 49
Answer:
1) 30 cm²
2) Seven squared equals seven times 7
Step-by-step explanation:
Base = 6 cm
Height = 10 cm
Area of triangle = [tex]\frac{1}{2}[/tex]*base * height
= [tex]\frac{1}{2} * 6 * 10[/tex]
= 3 * 10
= 30 cm²
2) 7² = 7 * 7
I don’t know what to write but ye I need help with this question. Thanks
Answer: the first table.
Step-by-step explanation:
The terms in the domain (x) should have only one range (y)
Answer:
A) x: -3, 0, -2, 8
y: -1, 0, -1, 1
Step-by-step explanation:
Function has only one output for each input.
OAmalOHopeO
Find the missing side. Round your answer to the nearest tenth.
PLEASE HURRY!!
Answer:
x = 9.4m
Hope this helps...Have a good day!!
if "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
Anna's back Garden consists of a rectangular lawn measuring 9m by 7m, surrounded by a gravel path of width X metres. Find, and simplify, an expression for the total area of the garden.
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.
The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower
:
Let x = the width of flower bed
:
Then the overall dimensions (flower bed & lawn) will be:
(2x + 8) by (2x + 4)
:
Overall area
(2x+8)*(2x+4) = 165
FOIL
4x^2 + 8x + 16x + 32 = 165
A quadratic equation
4x^2 + 24x + 32 - 165 = 0
4x^2 + 24x - 132 = 0
Simplify, divide by 4, results:
x^2 + 6x - 33 = 0
Use the quadratic formula to solve this
Divide 50 by 25 and find the remainder to complete the equation:
50 = 25 x ? + ?
Answer:
0
Step-by-step explanation:
Hello, do you agree that 25 * 2 = 50 ?
So, we can write that [tex]50 = 25 * \boxed{2} + \boxed{0}[/tex]
the remainder is 0.
Thank you
Chuck goes to a community college there is an enrollment fee of 207.55 plus 223.07 per credit hour which eqaution shows C the total cost of attending the community college for x credit hour
Answer:
C = 207.55 + 223.07x
Step-by-step explanation:
Given the following :
Cost of community college:
Enrollment fee = 207.55
Fee per credit hour = 223.07
Attending the community College for 'x' credit hours can be represented by:
Total cost = C
[Enrollment fee + (fee per credit hour * number of credit hours)]
Number of credit hours = x
C = [207.55 + (223.07 * x)]
C = 207.55 + 223.07x
Therefore, the total cost 'C' of attending the community college for 'x' credit hour:
C = 207.55 + 223.07x
Write the expression -5x(4+3x) using words
Answer:
negative five times x, parenthesis four plus three times x
Step-by-step explanation:
Hey there!
Well,
-5x ⇒ negative 5 times x
(4 + 3x) ⇒ parenthesis four plus three times x
Hope this helps :)
Which of the following exponential equations is equivalent to the logarithmic
equation below?
X = In 7.2
Answer:
Hello,
Answer D
Step-by-step explanation:
[tex]x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D[/tex]
WhAt is the area! Answer fast and please show work. I’ll give amazing rating!!!
Answer:
78
Step-by-step explanation:
A 45-45-90 triangle has sides like..
So the height of the parallelogram is 6.5
6.5 x 12 = 78
Answer:
78 in^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = ( 12) * h
We can find the height from using trig functions
tan 45 = h /6.5
6.5 tan 45 = h
A = ( 12) * 6.5 tan 45
=12 ( 6.5) * 1
=78
A line passes through the point (4,8) and has a slope of -3/2
Write an equation in Ax+By=C
Answer:
The answer is
3x + 2y = 28Step-by-step explanation:
To find an equation of the line using a point and the slope we use the formula
y - y1 = m(x - x1)
where
m is the slope
(x1 , y1) is the point
From the question
slope = -3/2
Point = (4,8)
So the equation of the line is
[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]
Multiply through by 2
2y - 16 = -3( x - 4)
2y - 16 = - 3x + 12
3x + 2y = 16 + 12
We have the final answer as
3x + 2y = 28Hope this helps you
The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?
Answer:
Length of the longest side = 17 units
Step-by-step explanation:
Given:
Three sides of triangle
A = 7
B = x+4
C = 2x + 1
Perimeter of the triangle = 36
Find:
Length of the longest side
Computation:
We know that
Perimeter of the triangle = A + B + C
Perimeter of the triangle = 7 + x + 4 + 2x + 1
36 = 12 + 3x
24 = 3x
x = 8
So
Side B = 8 + 4 = 12 unit
Side C = 2(8) + 1 = 17 units
Length of the longest side = 17 units
Answer:
17.
Explaination:
Dunno. I just put it on paper, and did the calculations there.
solve the diagram below
Answer:
x=45
Step-by-step explanation:
straight line=180°
2x+x=3x
180-45=135
135/3=45
x=45
if one of the numbers 1 to 20 is chosen at random what is the probability that it is either a multiple of 3 or a multiple of 5 or both?
Answer:
45% that either would occur, or a 5% chance both would occur.
Step-by-step explanation:
There is one overlap, 15, so it must be subtracted from one of the number lists.
3 6 9 12 15 18
5 10 15 20
6/20 + 3/20 = 9/20 = 0.45 = 45%
15 is the ONLY overlap number, so 1/20 times both would occur.
1/20 = 0.05 = 5%
is 3.00d+1.50d equivalent to 6.00d +3.00d?
May anyone help me please and thank you
Answer:
Step-by-step explanation:
: v
Answer:
(x + 10)² = 4
Step-by-step explanation:
Given
2x² + 192 = - 40x ( add 40x to both sides )
2x² + 40x + 192 = 0 ( subtract 192 from both sides )
2x² + 40x = - 192 ( divide through by 2 )
x² + 20x =- 96
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(10)x + 100 = - 96 + 100
(x + 10)² = 4
What is the average rate of change from x = 0 to x = 18?
Average rate of change ... of what?
Given some continuous function [tex]f(x)[/tex] and some interval [tex][a,b][/tex], its average rate of change over the interval is
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Without knowing what your function is exactly, I can only give a symbolic answer,
[tex]\dfrac{f(18)-f(0)}{18}[/tex]
Answer: -5/18
Step-by-step explanation: edg
Thank you guys for your help!
Answer:
4/5
Step-by-step explanation:
-18/2 = -9, and integer√9 = 3, an integer0, an integer4/5, irreducible fraction; not an integera person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, how many balls will the tenth person have?
Answer:
256
Step-by-step explanation:
because all of them are squared so
2^2= 4 balls
2 x 2
4^2 = 16 balls
4 x 4
16^2 = 256 balls
16 x 16