Mathematics High School

Can someone please help to differentiate this?​

Can Someone Please Help To Differentiate This?

Answers

Answer 1

Answer:

  [tex]\frac{dy}{dx} = (x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3}[/tex]

The values of  x are x = -3 ,5   and [tex]x = \frac{-1}{11}[/tex]

Step-by-step explanation:

Step(i):-

Given that the function

                      y = (x+3)⁴(x-5)⁷ ...(i)

Apply UV formula

[tex]\frac{dy}{dx} = U^{l} V+ U V^{l}[/tex]

Differentiating equation (i) with respective to 'x ', we get

                 [tex]\frac{dy}{dx} = (x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3}[/tex]

Step(ii):-

Given that

        [tex]\frac{dy}{dx} = 0[/tex]

[tex](x+3)^{4} (7)(x-5)^{6} + (x-5)^{7} (4)(x+3)^{3} =0[/tex]

[tex](x+3)^{3}(x-5)^{6} (7(x+3)+4(x-5))[/tex]  =0

[tex](x+3)^{3}(x-5)^{6} =0 and (7(x+3)+4(x-5)) =0[/tex]

x = -3 and x=5   and 7x +21 +4x -20 =0

x = -3 and x=5   and   [tex]x = \frac{-1}{11}[/tex]

Related Questions

2. Ana's family marked down the rugs from P25 to P20 each. What was the
rate of discount?​

Answers

Answer:

20%

Step-by-step explanation:

Discount = (new price - initial price) / initial price

= (20 - 25) / 25 = -5 = -0.2 = -20%

Josie surveyed her classmates. She found 8 students who walk, 30 students who ride the bus to school, 9 who ride bikes, and 3 who ride in cars. What is the experimental probability that the next student Josie surveys will walk to school?

Answers

Answer:

8 out of 50 students will walk.

Step-by-step explanation:

8 + 30 + 9 + 3 = 50

8 students will walk.

8/50

Brainlist pls!

Answer:

About 16%

Step-by-step explanation:

Out of the first 50 students surveyed, 8 of them walk to school. 8/50 is equal to 0.16 or 16% of the students asked. Based off of that sample size, that would be the probability of the next student walking to school.

i know the value of x is congruent to the other side, confused about the square root part

Answers

Answer:

I think it is that I'm not sure

[tex]10 \sqrt{3} [/tex]

Larry wants to purchase birthday gifts for his twin sisters. One sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem. Which inequality could he use to determine how many of each flower he could buy if he only has $35.00 to spend? Let x represent the number of daisies and y the number of tulips. Group of answer choices

Answers

Answer: 2x + 3y = 35

Step-by-step explanation:

Let x = number of daisies

Let y = number of tulips

Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:

2x + 3y = 35

In ∆DEF, ∠F = ∠D and EF = 4 cm and DF = 5 cm. Then find the length of DE

Answers

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

2x+8(x+3) = 3(x-13)


please show the work, i’ll mark brainliest

Answers

Answer:

x = -9

Step-by-step explanation:

2x + 8( x + 3 ) = 3( x - 13 )

Dstribute;

2x + 8 ( x + 3 ) = 3 ( x - 13 )

2x + ((8)(x)) + ((8)(3)) = ((3)(x)) - ((13)(3))

2x + 8x + 24 = 3x - 39

Combine like terms;

2x + 8x + 24 = 3x - 39

10x + 24 = 3x - 39

Inverse operations;

10x + 24 = 3x - 39

-3x            -3x

7x + 24 = -39

     -24     -24

7x = - 63

/7       /7

x = -9

first distribute 8 and 3 through parenthesis. this makes the equation
2x+8x+24=3x-39

collect like terms, such as “2x+8x” this becomes 10x. plug in 10x.

10x+24=3x-39. now move variable and constant. 10x-3x=-39-24
collect like terms again. 10x-3x becomes 7x.

7x=-39-24.
-39-24=-63

7x=-63 divide both sides by 7.

x=-9

Number 12 and I will mark as ambitious

Answers

Answer:

D

Step-by-step explanation:

The slope always comes before the x, and the y-intercept comes last when in slope intercept form. In this case, you would get y=5x-1/2.

Can anyone help plz plz

Answers

Answer:

the first choice

Step-by-step explanation:

[tex] - 5 {x}^{2} + 7x + 3[/tex]

3x-12y=216 solve for y fully reduced​

Answers

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Need help will give brainly

Answers

Answer:

130

Step-by-step explanation:

i think it's 130 cuz we have to multiply 10 by 13 yard and we get 130 for that.

Answer:

g = 8.5

Step-by-step explanation:

V = area of base x height

1105 = 10(13)g

1105 = 130g

g = 8.5

6th grade math help me please....

Answers

Answer:

5^3 = 125^3

Step-by-step explanation:

5x5x5

Answer:

5³=125

Step-by-step explanation:

5x5x5

=5³

=125

I need Math help thank you!

Answers

Answer:

Step-by-step explanation:

Coordinates of the vertices of the triangle are,

M(-2, 5), N(3, 2) and L(-2, 1)

Rule for the rotation of a point (x, y) 90° counterclockwise about the origin ,

(x, y) → (-y, x)

That means coordinates of a point (x, y) becomes (-y, x) after the rotation of 90° counterclockwise about the origin.

Following this rule,

M(-2, 5) → M'(-5, -2)

N(3, 2) → N'(-2, 3)

L(-2, 1) → L'(-1, -2)

Now we can draw the image triangle M'N'L' with the help of these image points.

which expression results from using the distributive property?
number 1: 7(x+3) a.7x+3 b. 7 x + 3. c.21x d. X + 21
number 2: 3(6+r) a.6+r b.6+3r c.18r d.18+3r
number 3:12(n+2) a.12n b.n+24 c.12n+24 d.24n​

Answers

Answer:

Number 1: 7x+21

Number 2: 18+3r

Number 3: 12n+24

Step-by-step explanation:

Factor

Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share

Answers

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

T = $3b

What is the discriminant of the quadratic equation x^2 + 2x + 6 = 0 please hurry!!!

Answers

Answer:

Step-by-step explanation:

If ax² + bx + c = 0, then the discriminant is b²-4ac

x² + 2x + 6 = 0

discriminant = 2²-4·1·6 = -20

Since the discriminant is negative, there are no real roots. There are two complex roots.

AC =
Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 8.24 using tan =opp/adj

help me and brainlist if you get it right

Answers

Answer:

80 in^2 or 80 square inches

Step-by-step explanation:

Area of the top triangle=

1/2*4*4

8 square inches,

Area of the square=

4*4

16 square inches

Area of the rectangle=

4*8

32 square inches

Area of both bottom triangles=

2(1/2*3*8)

24 square inches

add them up and you get

Please help!!

Raymond planted a vegetable garden containing 50 plants. There were 15 tomato plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber plants.

Use the percent that you find and multiply each times 360° to find the number of degrees for each sector of the circle graph based on this data.

Answers

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

Find 25% of 14.

A. 3.5
B. 11.5
C. 12
D. 7

Answers

Answer:

A

Step-by-step explanation:

Convert this rational number
to its decimal form and round
to the nearest thousandth.

8/9

Answers

Answer:

0.888

Step-by-step explanation:

hope it helps

0.888

answer explanation:

what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.​

Answers

Answer:

Interest wil be 10% of 100  which is 10

So,

interest will be Rs.10

and total amount to be payed will be 100+10 which is Rs.110

Answer:

Interest is Rs.10

Step-by-step explanation:

Interest of Rs.100 on 10 p.c.p.a is 10% of 100

i.e., 100*10/100 = 10

Thus we have 10 as the interest

What is the length of QR

Answers

Answer:

8

Step-by-step explanation:

Set 3n-1=5n-7.

Solve.

n=3.

Plug in 3 to 5n-7.

QR=8

Answer:

QR=8

Step-by-step explanation:

so using the fact that the two triangles are congruent, we can determine:

5n-7=3n-1

5n-6=3n

2n-6=0

n=3

so we replace all n in 5n-7 with three

5x3-7

15-7

8

please help me tysm!
Stan has read 90% of his book. If his book is 360 pages long, which is the best estimate of how many pages he still has to read?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

HURRY ILL GIVE YOU EXTRA POINTS IF YOU ANSWER FAST

Answers

Answer:

4th one probs

(3,-14) and (-4,14) write an equation of the line passing through the given points​

Answers

no no no no i’m yiu forgive

Answer:

y=-4x-2

Step-by-step explanation:

With the equation provided, you can plug in the 3 or -4 into the x-value, and will get the corresponding y-value.

Hope this helps!

find the total cost. $50 item; $10 coupon off; 10% sales tax

Answers

Answer: 44 dollars

Step-by-step explanation:

Answer-$44
Explanation:

All formula of Trignometric Identities​

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Trigonometric identities and relations

how much degrees is angle y
Angle y is - degrees.

Answers

The answer is 62

The whole equation has to equal 180 so always take the two or more number you have which in this case is 60 and 58 add them together to get 118 then subtract it by the common goal number which is 180 to get 62

I really hope this helps have a great day
it would be 62 because everything in a triangle will equal 180 so 60-58=118 then you do 180-118=62!

Can someone help pls? With working out if possible :)

Answers

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

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