Answer:
y = k/x
k = 45
y = 45/x
Step-by-step explanation:
y varies inversely as x
y = k/x
y = 5 when x = 9
y = k/x
5 = k / 9
Cross product
5 * 9 = k
k = 45
Constant of proportionality, k = 45
y = 45/x
differentiate the following functions (x^3+1)(x-2)÷x^2
Given:
The given function is:
[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
To find:
The differentiation of the given function.
Solution:
Consider the given function,
[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
It can be written as:
[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]
[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]
[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]
[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]
Differentiate with respect to x.
[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]
[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]
[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]
Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].
What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?
Answer:
35.................
it took samatha 325 minutes to cook an 18 lb turkey.How many minutes per pound did it take to cook the turkey ?
Answer:
Below.
Step-by-step explanation:
325/18
= 18.055... minutes
= 18 minutes to nearest minute.
Can someone help me slove this ?
Answer:
x<-1
Step-by-step explanation:
I think and hope it helps
By what percent will the number changed if": it was doubled
Answer:
what number
Step-by-step explanation:
The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
============================================================
Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
------------------------------
So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
Which equation represents the line with slope – 2 that
passes through the point (-4, -5)?
Answer:
D. y+5 = -2(x+4)
Step-by-step explanation:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
The equation above is point-slope form where x1 and y1 both are the point that the graph passes through ane m is slope as usual.
We are given the point (-4,-5) and slope of -2. We substitute these values in.
[tex] \large{y - ( - 5) = - 2(x - ( - 4))} \\ \large{y + 5 = - 2(x + 4)}[/tex]
. In Paige's class, 13 of the 20 students were born in Texas. Based in the
information, if there are
8010 students at the school, how many students could
be expected to have been
born in Texas?
A.600 students
B.480 students
C.520 students
D.560 students
Answer:
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a mirror
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Usually I put
Something on TV
So we never think
About you and me
But today I see
Our reflections
Clearly in Hollywood
Laying on the screen
You just need a better life than this
You need something I can never give
Fake water all across the road
It's gone now the night has come but
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out…
Answer:490
Step-by-step explanation:
CHRIS
For the field trip this year, use the given information to determine the total
cost for each student and for all 30 students. Transportation costs have
already been paid.
For every 5 students, it would cost:
• $36.25 for admission to the museum, and
• $31.50 for lunch.
What is the total cost, in dollars, for admission and lunch for each student?
What is the total cost, in dollars, for admission and lunch for all 30 students?
1 Student: $
30 Students: $
Answer:
30 students: $346.5
1 student: $11.55
Step-by-step explanation:
It would cost a total of $57.75 every 5 student so just multiply by 6 to get your amount for 30 students. Then divide by 30 to get the amount per student.
What is the slope of AB?
Can anyone help me ??
Answer:
1/2
Step-by-step explanation:
Point A is (2, 3)
Point B is (6, 5)
To get the slope of a line, first select any two points on that line.
Then, take the difference of the y values, and divide it by the difference of the x values. This is also known as the change in y over the change in x, or rise over run.
[tex]\frac{3-5}{2-6} =\frac{-2}{-4} =\frac{1}{2}[/tex]
1/2 is the slope.
2x – 5x + 16 = –3(x – 6)
Answer:
0=2
There are no solutions
Step-by-step explanation:
Answer:
2x – 5x + 16 = – 3(x – 6)
-3x + 16 = - 3x + 18
-3x + 3x + 16 = 18
16 = 18
Thus, This is a False Equation
-TheUnknownScientist
Factor the expression completely.
15x2-5x - 10
15x2-5x - 10 =
Answer:
x=8
Step-by-step explanation:
30-5x-10
-5x+30-10
-5x+40
-5x= -40
divide both sides by -5
-5x/-5= -40/-5
x=8
Seventy-five percent, or 15, of the students in
Emily's homeroom class are going on a field trip. Two thirds, or 12, of the
students in Santiago's homeroom class are going on the field trip. Which
class has more students? Justify your answer.
Find the value of y for the given value of x. y=x/3+5;x=6
Answer: Y= 7, X= 6
Step-by-step explanation:
Can someone help me with 17 20 and especially 21
Only reply if your seriously trying to help me it would be really appreciate
Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y=-x+1
y=-2x+ 5
3x + y = -4
3x - 4y = 6
Answer:
(-1, -2) or x=-1 y=-2
Step-by-step explanation:
3x+y=-4 (1)
3x-4y=6 (2)
i used the first equation to subtract the second this cancels out the x
and you are left with:
5y=-10
y=-2
plug this back in:
2x+(-2)=-4
2x-2=-4
add 2 to both sides:
2x=-2
x=-1
PLSSS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Answer:
56
Step-by-step explanation:
The simplest way to do this is to divide 3 by 21 to get 7. This means that it takes $7 to buy one T-shirt. If you multiple 8 X 7, you get 56. This mean that the correct answer is A. $56.00
Hope it helped and have a great day :)
make q the subject of 4p=5q-2
Answer:
5q = 4p + 2
Step-by-step explanation:
4p = 5q - 2
4p + 2 = 5q - 2 + 2
5q = 4p + 2
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
turtles are vulnerable. so A is your correct answer
Step-by-step explanation:
Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo? A) $5.05 B $5.50 C $8.35 D $9.35 . museum announces that it has just
Answer:
To find your answer you would subtract $6.50 and $2.85 from $14.85
you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.
Step-by-step explanation:
What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?
Answer:
The volume would be 86.63 feet squared
Hope this helps!
Mark me brainliest if I'm right :)
Janice needs 3 gallons of lemonade for a party. She has 4 quarts, 6 pints, and 4 cups of lemonade already made. How many more cups does she need.
what is this equation factored
49x²-1
find the value of x
50 points for all 5 questions.
Step-by-step explanation:
we have
5x+4=2x+9
5x-2x=9+4
3x=13
x=13/3
Answer:
x = 13/3
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ 2x + 9 = 5x - 4
Then the value of x will be,
→ 2x + 9 = 5x - 4
→ 2x - 5x = -4 - 9
→ -3x = -13
→ x = (-13)/(-3)
→ [ x = 13/3 ]
Hence, the value of x is 13/3.
What is the length of side AB of the triangle?
3
5
Square root of 6
Square root of 13
Answer:
√13
Step-by-step explanation:
Distance formula
√(4-2)²+(5-2)² = 2²+3² = √4+9 = √13
You are a life saver if you help me figure out this problem step by step. I swear my math teacher is trying to make me fail:(
10 POINTS!!!!!!! write an equation for a line that goes through the point (-3,-4) and has a slope on -2
Thats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya Lungs
A bowl has 2 blue candies and 3 red candies inside it.
The tree diagram shows that the first event tells us the probability of choosing each blue and red candy.
The second event describes the probability of choosing an additional blue and a red candy.
Find the value of x and y
Answer:
[tex]x = \frac{1}{4} [/tex]
[tex]y = \frac{2}{4} [/tex]
find the measure of angle R
Answer:
R=(180-100)/2=40.
Step-by-step explanation:
Answer. Answer: (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case the sum of the angles will be more than 180 degrees) then the other two angles, R and S, are equal: R=(180-100)/2=40.