(2x−y)(2)−(2x+y)(2)=4xyk
4kxy = -4y
4kxy/4xy = -4/4xy
k = -1/x
a man got 10% increase in his salary. if his new salary is rs154000 find hus original salary
Answer:
138600
Step-by-step explanation:
154000/10=15400
154000-15400=138600
When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x plus five all divided by the quantity x minus three times the quantity x plus two times the quantity x minus 5 , Charles and Bobby have two different thoughts. Charles says that the function is defined at x = −2, x = 3, and x = 5. Bobby says that the function is undefined at those x values. Who is correct? Justify your reasoning.
Answer: Bobby is right, because at x = -2, 3, and 5, the denominator of the function equals zero, which is by definition undefined.
I hope this helps :)
Step-by-step explanation:
What is 3500/9 simplified?
Hey there!
Let's simplify
[tex]\bold{\displaystyle\frac{3500}{9} }}[/tex]
Is there any way we can simplify this fraction?
No. 3500 and 9 do not have any common factors.
This fraction is already in its simplest form.
However, [tex]\bold{\displaystyle\frac{3500}{9} }[/tex] is an improper fraction.
An improper fraction is a fraction where the numerator (top) is greater than its denominator.
You can easily remember where the denominator is by remembering this:
The Denominator is Down
The nice thing about improper fractions is that you can simplify them... A little.
Hey! How can we simplify a fraction that's already in its simplest form?!
If the fraction is improper, then we can just write it as a mixed number.
A mixed number is a number with both a whole number and a fraction.
Let's write this fraction as a mixed number.
First, how many times does 9 go into 3,500? (evenly)
388 times
Now, take 388 and multiply it times 9:
3,492
Subtract:
3,500-3,492=8
That's our numerator.
Therefore, the mixed fraction is
[tex]\bold{388\displaystyle\frac{8}{9} }[/tex]
We can easily check if this is correct by multiplying 388 times 9 and adding 8.
See? We ended up with 3,500.
Hence, 3500/9 simplified is
[tex]\boxed{\boxed{\bold{388\frac{8}{9} }}}[/tex]
Hope everything is clear.
Let me know if you have any queries; if you do, please comment.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
Which statement best describes a graph of paired points that form a proportional relationship? A straight line can be drawn through all of the the points but the line does not pass through the origin. A straight line can be drawn through all the points and the lines passes through the point where x = 0 and y = 0. A straight line can be drawn through all the points and the line passes through the point (3, 0). A straight line cannot be drawn through all the points and the line passes through the origin.
Answer:
a straight line can be drawn through all the points and the lines passes through the point where x = 0 and y = 0 (the origin).
Step-by-step explanation:
in a proportional relationship, one variable is always a constant value times the other. That constant "a" is know as the "constant of proportionality".
y = ax
and as you can easily see, that implies if x = 0, then y = 0.
therefore, the given answer is correct.
what is the value of X in the equation 3X -1/9 Y equals 18 Y equals 17
Answer:
5.70
Step-by-step explanation:
18y=17 then y=17/18
3x-1/9y=18y
3x-1/9×17/18=18×17/18
x=2771/486
x=5.70
9 A wagon is accelerating down a hill at constant acceleration. It took is more to accelerate from a velocity
of I m/s to a velocity of 5 m/s than it took to accelerate from rest to a velocity of 1m/s. find the acceleration
Answer:
3 m/s²
Step-by-step explanation:
"It took 1 s more to accelerate from a velocity of 1 m/s to a velocity of 5 m/s than it took to accelerate from rest to a velocity of 1 m/s. Find the acceleration."
Acceleration is equal to change in velocity over change in time. The acceleration is constant, so we can write a proportion:
(1 m/s − 0 m/s) / t = (5 m/s − 1 m/s) / (t + 1 s)
1 / t = 4 / (t + 1)
4t = t + 1
3t = 1
t = ⅓
The acceleration is therefore:
a = Δv / Δt
a = (1 m/s − 0 m/s) / (⅓ s)
a = 3 m/s²
What makes a pair linear?
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Step-by-step explanation:
A rectangle's length, f(x), is 2 more than three times a unit length, x, and its width, g(x), is twice the unit length, x. Combine functions f(x) and g(x) to get h(x). Which is h(x) written in the simplest form? H(x) = 5x + 2 h(x) = 6x + 2 h(x) = 6x2 + 2 h(x) = 6x2 + 4x
Answer:
[tex]h(x)=6x^2+4x[/tex]
Step-by-step explanation:
As the rectangle's length, f(x), is 2 more than three times a unit length, x, so,
f(x)=3x+2
As the rectangle's width, g(x), is twice the unit length, x, so,
g(x)=2x.
The length and width of the rectangle are related to the area and the perimeter of the rectangle. So, the length, f(x), and the width, g(x), can be combined to give the area or perimeter, h(x).
So, h(x) might be the area or the perimeter of the rectangle.
If h(x) is the area, then
[tex]h(x)=f(x) \times g(x)[/tex] [as area=lenght x width]
[tex]\Rightarrow h(x)=(3x+2)\times 2x[/tex]
[tex]\Rightarrow h(x)=6x^2+4x[/tex] (this is in the given options)
If h(x) is the perimeter, then
[tex]h(x)=2\{f(x) + g(x)\}[/tex] [as perimeter=2(lenght + width)]
[tex]\Rightarrow h(x)=2\{(3x+2)+ 2x\}[/tex]
[tex]\Rightarrow h(x)=2(5x+2)[/tex]
[tex]\Rightarrow h(x)=10x+4[/tex] (not in the given options)
So, from the given options [tex]h(x)=6x^2+4x[/tex] is correct.
Answer:
h(x) = 6x^2 + 4x
Step-by-step explanation:
Got it right on lesson.
You are in line at a ticket window. There are two more people ahead of you than there are behind you. The number of people in the entire line (don’t forget to count yourself!) is three times the number of people behind you. How many people are ahead of you in line, and how many are behind you?
Step-by-step explanation:
Let people behind you=x
People ahead of you will be x+2
Total number of people in the line(including you) = x+(x+2)+1 = 2x+3
Also, 2x+3=3x
So x=3
People ahead = x+2 = 5
People behind = x = 3
Evan measured a house and made a scale drawing. The scale of the drawing was 3 centimeters = 7 meters. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.
find the value of x plz plz plz
Answer:
X=28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
A triangle always has 180° so that means 40° (2x+9)° and another angle add up to 180°.
We can find out two angles in order to find out the third, one of them is 40° the other is 180°-105° because there are 180° on a line.
you get 75.
75°+40°=115°
180°-115°=65°
2x+9=65°
Make x the subject of the formula:
2x=56
(take away 9)
x=28
(divide both sides by 2)
Jeff is decorating papers with the child he is babysitting. They have a total of 7 heart stickers and 14 star stickers to use. If they want to make all the papers identical with the same combination of heart and star stickers and no stickers left over what is the greatest number of pages they can decorate
Answer:
7
Step-by-step explanation:
Given the following :
7 heart stickers and 14 star stickers :
The greatest number of pages that can be decorated using the stickers above without any left over ;
To get this we obtain the greatest common factor of 7 and 14
Factors of 14
14 : 1, 2, 7, 14
Factors of 7
7 : 1, 7
The greatest factor common in both numbers is 7
Hence, greatest number of pages that can be decorated without any leftover is 7
25.5 is what percent of 85
Answer:
30%
Step-by-step explanation:
PLEASEEWWE HELPPP!! Select each transformation that carries a square onto Itself.
1.) a reflection over one of the square's sides
2.) a reflection over one of the square's diagonals
3.) a rotation of 90° clockwise about the square's center
4.) a rotation of 180'clockwise about one of the square's vertices
5.) a rotation of 180' clockwise about the square's center
A C D
Step-by-step explanation:
in which situation do the quantities combine to make 0?
Answer:
The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.
I need help on this problem ASAP !!! :)
Answer:
[tex]\displaystyle 8,9[/tex]
Step-by-step explanation:
Deduct one from nine to get eight, then use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = x^2 \hookrightarrow 64 + 16 = x^2 \hookrightarrow \sqrt{80} = \sqrt{x^2}; 4\sqrt{5}\:[or\:8,94427191...] = x \\ \\ \boxed{8,9 \approx x}[/tex]
I am joyous to assist you at any time.
The bottom of a ladder must be placed 4.6 feet away
from a wall for the safety of the person climbing the
ladder. The ladder is 15.2 feet long. How high up does
the ladder reach?
Answer:
2.44ftStep-by-step explanation:
In this problem, we are going to use Pythagoras theorem to solve for the height
given
x= 4.6 ft
hypothenus=15.2
y=?
we know that
hyp^2=x^2+y^2
15.2=4.6^2+y^2
15.2-4.6^2=y^2
15.2-21.16=y^2
5.96=y^2
√5.96=y
y=2.44ft
the height of the ladder is 2.44ft
hmm i get it very well then thanks alot
Answer:
B. 1002
Step-by-step explanation:
0.o :P XD :V
Least common denonminator of 9 over 10 and 4 over 5
Answer:10!
Step-by-step explanation: Rewriting input as fractions if necessary: 9/10, 4/5 For the denominators (10, 5) the least common multiple (LCM) is 10. LCM (10, 5)Therefore, the least common denominator (LCD) is 10. Calculations to rewrite the original inputs as equivalent fractions with the LCD: 9/10=9/10×1/1=9/104/5=4/5×2/2=8
f(x)=2x^3-7x^2-10x+24
•use factor theorem to show that (x+2) is a factor of f(x)
f(x)=2x^3-7x^2-5x+4
•find the remainder using synthetic division when f(x) is divided by (x-1)
•use factor theorem to show that (x+1) is a factor of f(x)
Answer:
Solved in the diagram
Needs to be 20characters long
Ryan has a recipe for vanilla cupcakes. He uses 12 - cups of flour to make 24 cupcakes. Ryan will follow the
same recipe. He will make c cupcakes using f cups of flour.
Which of these equations represent the relationship between c and f.
Answer:
he uses 12 cups of flour for 24 cupcakes
that means he's using 1 cup flour for 2 cupcakes
equation =
c = 2f
PLEASE ANSWER QUICK Angles which share a common ray and common vertex, but no interior points are called:
Group of answer choices
Opposite angles
Adjacent angles
Vertical angles
Interior angles
What is an equation of the line that passes through the points (4,-2) and (8,3)
Answer:
I think its y=mx
Step-by-step explanation:
not sure :)
-1/2x+3=-x+7
I just don't know how to take the fraction out :(
Answer:
x = 8
Step-by-step explanation:
[tex] - \frac{1}{2} x + 3 = - x + 7[/tex]
Collect like terms and simplify
[tex] - \frac{1}{2} x + x = 7 - 3 \\ \frac{1}{2} x = 4[/tex]
Cross Multiply
[tex]x \times 1 = 2 \times 4 \\ x = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
-1/2x+3=-x+7
Add x to each side
-1/2x+x+3=-x+x+7
1/2x+3=7
Subtract 3 from each side
1/2x +3-3=7-3
1/2x=4
Multiply by 2
1/2x*2 = 4*2
x = 8
Steve spent 1/4 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $867 was left, what was his monthly salary?
Answer:x=(45/31)*1426=$2070. ANSWER
20% of that is $414
1/9 of that is $230
They add to $644
What is left is $1426.
Step-by-step explanation:
Answer:1428
Step-by-step explanation:
x−1128x
=867
(1−1128)x
=867
Factor out x.
1728x
=867
Simplify.
x
=1428
Solve for x.
Asap! I’ll mark you brainlest
What does How much did each candy bar cost?
Add
Subtract
Divide
Multiply
Answer:
One candy bar cost $4.02
Step-by-step explanation:
14.19 - 5.79 = 8.4 (total candy bar cost)
8.4 / 2 = 4.2 cost of one candy bar
Answer:
4.2
Step-by-step explanation:
14.18-5.79 = 8.4
8.4/2 = 4.2
Classify: d + 53
a. variable expression
b. numerical expression
Answer:
a variable expression
Step-by-step explanation:
because it consists unknown variable d
What is the value of 11 - 3m, when m = 2?
Answer:
5
Step-by-step explanation:
11-3(2)=
11-6=
5
Answer:
5
Step-by-step explanation:
11-3(2) replace m with 2
3x2= 6
11-6 =5
For a function f(x), the difference quotient is 21x2 + 21xh + 7h2 + 2. Which statement describes how to determine the average rate of change of f(x) from x = –3 to x = 2? Substitute –3 for x and 2 for h in the difference quotient. Substitute –3 for x and 5 for h in the difference quotient. Substitute 2 for x and –3 for h in the difference quotient. Substitute 2 for x and –5 for h in the difference quotient.
Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Answer:
(on edge) B. Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
- sinx
dy/dx = ?
cosx or -cosx?
Step-by-step explanation:
y=-sinx
dy/dx = d(-sinx)/dt= -cosx
hope it helps
Answer:
[tex]y = - \sin(x) \\ \frac{dy}{dx} = - \frac{d}{dx} ( \sin(x) ) \\ \boxed{ \frac{dy}{dx} = - \cos(x) }[/tex]
dy/dx = -cos(x) is the right answer.