5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Hello Carousel!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]

To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..

[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Now, simplify it..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ5

Answer:

65

Step-by-step explanation:

hello dear!

suppose that y and x are the straight line.

as we know that:

115=y (reason: corresponding sides are equal in parallel lines)

now,

y + x= 180(straight angle)

now we keep the value of y i.e. 115

115+x=180

x=180-115

x=65

as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .

so therefore, the value of x = 65°

hope it helps!

Step-by-step explanation:

slope =3/2

that is the answer

$32 for each hockey stick

Step-by-step explanation:

71+25=96

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

Answer:

Median : 11.5, or 12 if you round it up.

Mean : 10.9 rounded up 10.875 not rounded.

Hope this help's, enjoy!

Answer:

337.5

Step-by-step explanation:

Based on the given conditions, formulate 3 112.5

Calculate the product or quotient: 337.5

y=24

Step-by-step explanation:

y=7*3 +3

y=21+3

y=24

Answer:

false, true, false

Step-by-step explanation:

Answer:

Answer:

7

Step-by-step explanation:

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

Answer:

the answer is one whole or one out of one

Answer:

148 cm2

Step-by-step explanation:

5 * 4 * 2 = 40

6 * 5 * 2 = 60

6 * 4 * 2 = 48

40 + 60 + 48 = 148

Answer:

Step-by-step explanation:

T.S.A (TOTAL SURFACE AREA) OF CUBOID :

→ 2(lb + bh + lh)

( l = length, b = breadth , h = height )

→ Given :

• Length (l) = 6cm

• Breadth (b) or width = 4cm

• Height (h) = 5cm

Total Surface area of cuboid :

• 2( 6×4+ 4×5+ 5×6) cm²

• 2 ( 24 + 20 + 30 ) cm²

• 2 ( 74 ) cm²

• 148 cm²

Answer:

5

-

2..................

Answer:4/6

Step-by-step explanation:

The measure of angle ∠B will be 66 degrees.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.

∠ABC = ∠ACB = x (Isosceles triangle property)

In △ABC, the angle sum is 180°. Then we have

∠ABC + ∠ACB + ∠ABC = 180°

x + x + 48° = 180°

2x = 132°

x = 66°

Then

∠BCA = ∠BCD + ∠DCB = 66°

∠BCD = 66° − 18°

∠BCD = 48°

Now, In ΔBCD, then we have

∠BCD + ∠BDC + ∠DBC = 180°

48° + ∠BDC + 66° = 180°

∠BDC = 66°

We know that ∠BDC = ∠DBC,

∠DBC = ∠BDC

∠DBC = 66°

The measure of angle ∠B will be 66 degrees.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

y = 1/2x -4

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

2x-4y = 16

Subtract 2x from each side

2x-4y-2x = -2x+16

-4y =-2x+16

Divide each side by -4

-4y/-4 = -2x/-4 +16/-4

y = 1/2x -4

The slope is 1/2 and the y intercept is -4

Answer:

1. x=105

2. 12 cans for $4

3. 14

Step-by-step explanation:

1. 15/18 = x/126

126/18=7

x=15*7=105

2. 12 cans for $4.  36 for $11.50.  

36/3=12.  11.50/3=3.8333.  

12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.  

3. Circumference = pi*d.  Circumference = 43.96.  pi=3.14.  3.14*x=43.96.  x=diameter.  x=14.  diameter = 14

--Explanation to 3.14*x=43.96:

3.14*x=43.96, = 3.14x=43.96

3.14x*100 =43.96*100

314x=4396

314x/314 = 4396/314

x=14

The domain is the set of x-values for which the equation is true.

Answer: 2 Kilometers(km) a minute(min).

Step-by-step explanation:

If we look at the graph, the 1km and 2min meet.

Answer:

24 km/h

Step-by-step explanation:

The graphic shows 4 km in ten minutes

[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]

I hope this help you

Step-by-step explanation:

y= -2x

that is the answer

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

Answer:

x-intercept : -3 and y-intercept 6

Step-by-step explanation:

x-intercept is the point where the graph crosses the x-axis.

y-intercept is the point where the graph crosses the y-axis.

Answer:

guess hes just smart

Step-by-step explanation:

Step-by-step explanation:

[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]

Answer:

35

Step-by-step explanation:

If she was 25, 10 years ago she has aged 10 years since she was 25 making her 35.

Answer:

x=0.0278 or 1/36

Step-by-step explanation:

y=4

So,y=1/9x

4=1/9x

36x=1

x=1/36

x=0.0278

Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:

Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

Learn more in https://brainly.com/question/25206811

The equation for a line is y = mx + b. where m is the slope and b is the y intercept.

The slope is -1/3 (rise: 1, run: -3)

And the y-intercept is at -4.

So the equation for the line is:

y = -1/3x - 4

And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:

y <= -1/3x - 4

“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.

y <= -1/3x - 4 is the answer