The second differential of the function is 3/7
Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
Differentiate both sides with respect to x implicitly
[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]
Get the first derivative at the point (3, 0)
[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]
Substitute into the second derivative to have:
[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]
Hence the second differential of the function is 3/7
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Complete question:
If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)
Harvey is studying the polynomial f(x) = (4x – 3)(x – 3)(x2 +5) and determines that the polynomial has four real roots. Do you agree or disagree with Harvey’s statement? Explain your reasoning.
A.yes because there are 4 roots
B.yes because complex solutions do not matter
C.yes because when I solve he gets 4 x intercepts
D.no because there are two complex solutions
Yes because when I solve he gets 4 x-intercepts. The x-intercept is a point where the y value is zero.
The degree of a polynomial always determines the number of roots such polynomial function will have;
Given the polynomial function studied by Harvey as g(x) = (4x – 3)(x – 3)(x2 +5)
Taking the product of the leading variables
g(x) = (4x – 3)(x – 3)(x2 +5)
g(x) = 4x(x) (x^2)
g(x) = 4x^4
Since the degree of the polynomial is 4, hence the polynomial has four real roots.
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If 40% of a number is 24, find 10% of that number.
Answer:
6
Step-by-step explanation:
is %
of 100
24 40
x 100
2400/40 equals 60
60 divided by 10 equals 6
9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}
Answer:
A and c sorry if I'm wrong
Solve for x
5-3x - 1 = 25
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
Which of the following is NOT a perfect square trinomial?
Group of answer choices
^2+20−100
4^2−20+25
^2+18+81
16^2−24+9^2
Answer:
x^2+20−100 and 16^2−24+9^2
Step-by-step explanation:
3 feet + 7 inches = ___ inches
Answer:
10
because when you plus 3+7 is 10
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she
has to buy 3 pounds of onions?
Answer:
Lacey could afford 4.25lb of cherries
Step-by-step explanation:
Cost of onions= 3 lb x 0.98/1=2.94
21.45-2.94=18.48$
1 lb=4.35
18.48 x 1lb of cherries/4.35=4.25lb of cherries.
Hope I helped please mark brainliest it means a lot to my progression and thanks! <3
Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has Ken't paid for? Use the model.
Giving brainliest
Answer:
589/19=31 dollars a month
Step-by-step explanation:
Hope this helps!
expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
n=3
5*3=15
15+2=17
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
3/4 + 7/8 =??????????????????
Answer:
13/8
in decimal form it is 1.625
Step-by-step explanation:
Answer:
13/8 or 1 5/8
Step-by-step explanation:
What will be the total amount of money in the account at the end of that year
Answer
How much there is at the end of the year, I cant answer the question seriously if you do not include the whole question bub next time put the whole question, best of luck.
Step-by-step explanation:
add on a number line :(+7). (-7)
Answer:
-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.
Step-by-step explanation:
Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?
Help!!!! This is a triangle and I really don’t understand it :(
Answer: x is 3
Step-by-step explanation:
6x-5=4x+1
x = 3
rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
Answer:
3.3m+1.4
Step-by-step explanation:
Multiply 5 and 0.9m
Multiply 5 and 0.5
5 times 0.9m is 4.5m
5 times 0.5 is 2.5
Multiply -3 and 0.4m
Multiply -3 and 0.7
-3 times 0.4m is -1.2m
-3 times -.7 is -2.1
4.5m+ 2.5 -1.2m-2.1
Which is 3.3m+1.4
Hope this helps!
Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?
Answer:
45.37
Step-by-step explanation:Based on the given conditions, formulate:
5.75
+
36.25
+
3.37
Calculate the sum or difference:
42
+
3.37
Calculate the sum or difference:
45.37
get the result:
45.37
mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height
Answer:
20 ft by 12 ft
Step-by-step explanation:
(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft
(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft
Which statements must be true regarding the two triangles? Check all that apply.
∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).
Answer: 1, 2, & 5.
Step-by-step explanation:
1) ∠M ≅ ∠M''
2)△LMN ~ △L''M''N''
5)The coordinates of vertex N'' are (3, -1.5).
Write the equation of the line with two given points
(-12, 14) and (6,-1)
Which expression is equivalent to 56+23m+12−16m?
Answer:
Step-by-step explanation:like like l'ike m y vieo9dsssssssss
The equivalent expression is 7m + 68
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = 56 + 23m + 12 - 16m
Adding the like terms in the equation , we get
A = ( 56 + 12 ) + ( 23m - 16m )
On Simplifying , we get
A = 68 + 7m
A = 7m + 68
Hence , the required solution is 7m + 68
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A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators
what is 29,032 to the nearest thousands
Answer:
29,000
Step-by-step explanation:
Answer:
30,000 i believe
Step-by-step explanation:
if that isnt the right answer then its just 29,000
WILL MARK BRAINLEST IF CORRECT HELP ME OUT
Answer:
x = 12
Step-by-step explanation:
Equation: 0.52(x) + 0.72(4) = 0.57(x + 4)
0.52(x) + 0.72(4) = 0.57(x + 4) [tex]\longmapsto[/tex] Multiply
0.52x + 2.88 = 0.57x + 2.28 [tex]\longmapsto[/tex] Subtract 0.52x from both sides
2.88 = 0.05x + 2.28 [tex]\longmapsto[/tex] Subtract 2.28 from both sides
0.6 = 0.05x [tex]\longmapsto[/tex] Divide all sides by 0.05
x = 12
-Chetan K
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 212 years?
Round your answer to the nearest cent.
Answer:
Answer:it's 654.06I just did the test
Step-by-step explanation:
A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.
Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
11. In right triangle CAT,
angle. If CA = 6 and CT = 8, find AT.
Answer:
AT=5.29 or 2√7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
CAT means ∡ A is 90°
so CA is one of the leg (a) and AT the other leg (b)
CT is the (c)
6²+b²=8²
b²=64-36
b=√28
=5.29
Find the area of the following shape. please show me your work so i can understand how to do this.
Answer:
10
Step-by-step explanation:
count the full squares then add up the halfs and u get 10
what is the square root of25. To guys who steal my points