Given:
The equation is:
[tex]4x+2xy^2+44=y^3[/tex]
To find:
The equation of the tangent on the given equation at point (-3,2).
Solution:
We have,
[tex]4x+2xy^2+44=y^3[/tex]
Differentiate with respect to x.
[tex]4(1)+2[x(2yy')+y^2(1)]+0=3y^2y'[/tex]
[tex]4+4xyy'+2y^2=3y^2y'[/tex]
[tex]4+2y^2=3y^2y'-4xyy'[/tex]
[tex]4+2y^2=(3y^2-4xy)y'[/tex]
Isolate y'.
[tex]\dfrac{4+2y^2}{3y^2-4xy}=y'[/tex]
Now, we need to find the value of the derivative at point (-3,2).
[tex]y'_{(-3,2)}=\dfrac{4+2(2)^2}{3(2)^2-4(-3)(2)}[/tex]
[tex]y'_{(-3,2)}=\dfrac{4+8}{12+24}[/tex]
[tex]y'_{(-3,2)}=\dfrac{12}{36}[/tex]
[tex]y'_{(-3,2)}=\dfrac{1}{3}[/tex]
It means the slope of the tangent line is [tex]\dfrac{1}{3}[/tex].
The equation of tangent line that passes through the point (-3,2) with slope [tex]\dfrac{1}{3}[/tex] is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-2=\dfrac{1}{3}(x-(-3))[/tex]
[tex]y-2=\dfrac{1}{3}x+1[/tex]
[tex]y=\dfrac{1}{3}x+1+2[/tex]
[tex]y=\dfrac{1}{3}x+3[/tex]
Therefore, the equation of tangent line is [tex]y=\dfrac{1}{3}x+3[/tex].
Help pls it is 7th grade math
Answer:
E
Step-by-step explanation:
Supplementary angles: angles that equal to 180
H + G = 180
H + F = 180
H and E are the same angle, but since they are not right angles, they do not equal 180
Emergency i will make brainly!! i need an answer cause its due today! And there are no options just solve
Answer:
cylinder
Step-by-step explanation:
A cylinder is generated by rotating a rectangle about one of its edges
Answer:
Cylinder
Step-by-step explanation:
A Cylinder is made by rotating one of a rectangles angles!! GoodLuck<33
What is the undefined value of 3b^2+13b+4/b+4 ?
O 4
O 0
O -3
O -4
Answer:
0
Step-by-step explanation:
when you divide anything by 0 it becomes undefined
I was a little confused on this problem
Answer:
Step-by-step explanation:
164.8+106.09=270.89
Solve for b.
-3b+2.5 = 4
Answer:
b = −0.5
Step-by-step explanation:
Let's solve your equation step-by-step.
−3b+2.5=4
Step 1: Subtract 2.5 from both sides.
−3b+2.5−2.5=4−2.5
−3b=1.5
Step 2: Divide both sides by -3.
-3b/-3 = 1.5/-3
The value of 'b' in the equation given is -0.5
Given the expression for which we could solve for the unknown:
-3b + 2.5 = 4Subtract 2.5 from both sides
-3b = 4 - 2.5
-3b = 1.5
divide both sides by -3 to isolate b
-3b/-3 = 1.5/-3
b = -0.5
Therefore, the value of b in the equation given is -0.5
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Devin buys four shirts of equal price for a total of 36$ and teo pairs of shoes for equal price of $25.He has to pay 8% sales tax on his purchases devin decides instead to purchase five shirts and one pair of shoes.If the sales tax is 8% how much will devin pay for his ourchase
Answer:
$65.88
Step-by-step explanation:
Given data
Sales Tax= 8%
Cost of shirt= $36
Cost of shoe= $25
Total cost= 36+25
Total=$61
Let us find the amount of the Tax
=8/100*61
=0.08*61
=$4.88
Hence the amount paid is
=61+4.88
=$65.88
Find the 8th Term for the Geometric Sequence for which a1 - 3 and r = -2
Answer:
-384
Step-by-step explanation:
geometric sequence : every new element is generated by multiplying the previous element always with the same number r.
a(n) = a(n-1) * r
a(n) = a(1) * r^(n-1)
so, a(1) = 3, r = -2
a(8) = ?
a(8) = a(1) * r^7 = 3 * (-2)^7
a negative number to an uneven power is again a negative number.
so, (-2)^7 = -128
3 * -128 = -384 = a(8)
WHATS THE VOUME WILL MARK BRAINLIST GOD BLESS
Height = 15
Length = 8
Width = 5
V = lwh/3
V = 15*8*5/3
V = 200
Solve for y:
x + 2y = -8
y=-1/2x+4
y=-1/2x-4
y=-2x - 4
y=1/2x-4
Answer:
x + 2y = -8 = y = -4 - 1/2x
y= -1/2x + 4 = y = 4
y= -1/2x - 4 = y = -4
y=-2x - 4 = y = -4
y=1/2x-4 = y = -4
Step-by-step explanation:
(x + 2y = -8 = y = -4 - 1/2x)
[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]
Dan and Joe are responsible for cutting the grass on the local high school soccer field. Joe cuts a diagonal line through the field, as shown in the diagram below, and says that each person is responsible for cutting the grass on one side of the line. Dan says that this is not fair because he will have to cut more grass than Joe. Is Dan correct? Why or why not?
Answer:
Step-by-step explanation:
The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coordinates. y = f(x) y = g(x) If g(x) = k f(x), what is the value of k? I am not sure how to do this. k = -3
Answer:
k = -3
Step-by-step explanation:
f(x) = -2x+1
g(x) = 6x - 3
=> g(x) = k.f(x)
6x - 3 = k(-2x+1)
k = (6x-3)/(-2x+1)
= 3(2x-1)/-1(2x-1)
k = 3/(-1) = -3
The value of k for the given function will be k = -3.
What is a function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. A function can be thought of as a machine that takes an input, performs a certain operation on it, and produces an output.
Formally, a function is defined as a set of ordered pairs (x, y) such that each value of x is associated with exactly one value of y. The set of all possible inputs to a function is called its domain, while the set of all possible outputs is called its range.
The given functions are,
f(x) = -2x+1
g(x) = 6x - 3
The value of k will be calculated as,
g(x) = k.f(x)
6x - 3 = k(-2x+1)
k = (6x-3)/(-2x+1)
k= 3(2x-1)/-1(2x-1)
k = 3/(-1) = -3
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Solve for the missing side
Step-by-step explanation:
12²=a²+9²
144=a²+81
a²=144-81
a²=63
a=√63
a=7.94
There are 48 cars in the parking lot 16 are blue. What fraction of parked cars are blue? *
Answer:
16/48
Step-by-step explanation:
GIVING BRAINIEST IF CORRECT!!!!!
On Monday the temperature was 31º F. By Thursday it went down to –8º F.
How much did the temperature drop?
Answer:
39 F
Step-by-step explanation:
32 - (-8) is 39 F. The answer is 39 farhenheit
Answer:
39 F
Step-by-step explanation:
the answer is 39 yan lang po sana makatulong hehehehe
Ravi worked 6 days for a total of 64.2 hours. If he worked the same number of hours each day, how many hours did he work in a day
10.7 hours per day
Step-by-step Explanation:The total is 64.2.
If Ravi worked for 6 days and worked the same amount of hours each day then you do:
64.2 hours ÷ 6 days = 10.7 per day
Hope this helps!-FinnyProfit P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 2x⁴ – 3x³ +2x– 1 and C(x) = x⁴ – x² + 2x +3?
Answer:
x⁴-3x³+x²-4
Step-by-step explanation:
I know cuz i worked it out, and it's really hard to explain, so just trust me.
please help me! and please do not guess or just say something to take points bc i will make sure your account gets deleted. thank you!! 20 points for answering
Answer:
1. 3.
Step-by-step explanation:
The answer to tx2x365 is 730t so when you solve the others you also get 730t
Can someone help me pls!!
Answer:
x=1
Step-by-step explanation:
I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?
Answer:
A) y = 6x + 8
Step-by-step explanation:
What is the value of x on a triangle with sides 13cm and 5cm?
Answer:
12
Step-by-step explanation:
what is the value of x? you ask.
use the pythogoras Theorem =
C^2 = a^2 + b^2
169= 25 + x^2
144 = x^2
√144 = the answer is 12
please help
Select all the correct answers.
Which expressions are equivalent to the given expression?
It's (A).
................................
The above expression can be rewritten as
log(10) x^5 + log(10) 20 - log(10) 10
= log(10) [(20x^5)/10]
= log(10) (2x^5)
QUICK HURRY PLEASE Liam gave his friends a puzzle. He said he had two numbers that were not between -1 and 1. However, when the
numbers were multiplied, the result was always less than either of the numbers.
If Liam's puzzle is true, which of the following statements is true?
A- Both numbers must be positive
B- Both numbers must be negative
C- At least one number will be negative
D- One number will be positive, and one will be negative
Answer:
D
Step-by-step explanation:
One number will be positive, and one will be negative
Answer:
The answer is option D
Step-by-step explanation:
multiplication of numbers having opposite signs will result in a number having negative sign .
What is the missing reason in the proof ?
Answer:
A
Step-by-step explanation:
The reflexive property of congruence basically says that a segment is congruent with itself. B and C are related to angles so do not apply here.
Kalo randomly surveyed 25 students at his school and found that 19 of them have at least one sibling. Based on these data, how many of the 125 students at his
school would be expected to have at least one sibling?
Answer:
95 students
Step-by-step explanation:
25 students -- 19 have sibling
1 student -- (19/25)
125 students -- (19/25) * 125 = 95
Therefore, 95 students out of 125 are expected to have at least one sibling.
Thenks and mark me brainliest :))
Answer:
95
Step-by-step explanation:
Calculate the experimental probability of choosing a student who has at least one sibling: It is 19/25, or 0.56.
If 125 students are selected, this probability applies. Multiply 125 by 0.56:
0.56(125 students) = 95
95 students could be expected to report having at least one sibling.
Prove quadrilateral WXYZ is a rhombus.
Answer:
To prove a quadrilateral is a rhombus, here are three approaches:
Show that the shape is a parallelogram with equal length sides; Show that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; orShow that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; orShow that the shape's diagonals bisect both pairs of opposite angles.At a location 30m from the base of a flagpole, the angle of elevation is 34 degrees. Determine the height of the flagpole to the nearest meter.
Answer:
20.2 m
Step-by-step explanation:
At a location 30m from the base of a flagpole, the angle of elevation is 34 degrees. Determine the height of the flagpole to the nearest meter.
We solve this question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = 34°
Adjacent =30m
Opposite = Height of the flag pole = x
Hence
tan 34 = x/30
Cross Multiply
tan 34 × 30m
= 20.235255505 m
Approximately = 20.2 m
Hence, the height of the flag pole to the nearest meter = 20.2m
A bag of marbles contains 1 red marble and 2 blue marbles. After a marble is chosen, it is replaced. Na'Tasha draws two from the bag 2 times.
What is the probability that the red marble is chosen both times?
1/9
1/3
1/2
1/4
Find the length of the missing side, given the information below.
PLEASE HELP I NEED THIS
Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
Pls answer quick i need it for a timed assignment
Answer:
No solution
One solution
One solution
Step-by-step explanation:
Step-by-step explanation:
1.) no solutions
2.) one solution
3.)one solution
PLEASE HELP
I WILL GIVE YOU BRAINLIEST
Create the equation that represents the table
Answer:
I think the answer is Quadratic.
Step-by-step explanation:
Sorry if I'm wrong