what are the first 3 terms for nth term=3n
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Answer:

Part A

The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars is 1,670,000

Step-by-step explanation:

Part A

Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y

The cost to produce 'y' cars, C = 20·y + 1,000,00

The profit, 'P', from making and selling 'y' cars is given as follows;

P = R - C

∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00

An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;

0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars, (y = 30,000) is given as follows;

= 0.003·y² - 10·y - 1,000,000

[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000

The profit made from selling 30,000 cars = 1,670,000.

The equivalent expression is 7^7. 2^7.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(7 . 2)^7

Now,

This expression can be written as,

7^7 . 2^7

Thus,

The equivalent expression is 7^7. 2^7.

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Price before decrease = x

If price before decrease is 100, then price after decrease = 100- 12 = 88

100:88 = x:600

100/88=x/600

100/88 ×600 = x

681.82 =x

Price before decrease =681.82

Answer:

16 students

Step-by-step explanation:

40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16

Answer:

The first thing we must do for this case is to define variables:

d = number of days

We then have the following inequality that represents the problem:

9d + 10 <= 146

Answer:

An inequality that represents the number of days, on which Natalie can take classes is:

9d + 10 <= 146

Step-by-step explanation:

Answer:

B. 146 ≥ 9c + 10

The maximum value of the quadratic function f(x)=-3(x-4)(x-6) is -72.

Given data:

To determine whether the quadratic function f(x) = -3(x-4)(x-6) has a minimum or maximum, analyze the leading coefficient, which is -3.

Since the leading coefficient is negative (-3), the quadratic function opens downward, indicating that it has a maximum point.

To find the minimum or maximum value of the function, we can look at the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form [tex]ax^2 + bx + c[/tex].

In our case, the quadratic function is f(x) = -3(x-4)(x-6), so the coefficient of [tex]x^2[/tex] is -3, and there is no linear term (b = 0).

Using the formula x = -b / (2a):

x = -0 / (2*(-3))

x = 0

Substituting this x-coordinate back into the quadratic function, find the corresponding y-coordinate (minimum or maximum value).

f(0) = -3(0-4)(0-6)

f(0) = -3(-4)(-6)

f(0) = -3(24)

f(0) = -72

Hence, the quadratic function f(x) = -3(x-4)(x-6) has a maximum value of -72.

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Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

Answer:

1. a) 7

b) 8

c)7

d) 6

2. a) -2 < 4

b) -3 > -5

c) -1°C

3. 39.95

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

(0,1) and (2,0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-1)/(2-0)

m=(-1)/2

m= -1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 1 = -1/2(x - 0)

y - 1 = -1/2x

y = -1/2x + 1

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Answer:

B. y=-x+2

Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.

Step-by-step explanation:

10.....................

Answer:

n = 120

Step-by-step explanation:

Answer:

none i dont think

Step-by-step explanation:

Answer:

Its complimentary.

Step-by-step explanation:

cause they are aproximatly ( if you use protractor ) 90 degrees but u can tell that they are not suplimentary cause they are not 180 degrees

Answer:

Step-by-step explanation:

Experimental probability is the number of specific outcomes divided by the total number of trials.

P(6)=6/29

Answer:

y=-7x^2-14x-2

Step-by-step explanation:

Hope this helpz

Answer:

degree measure of arc AB = 120°

length of arc AB = 40π/3 in.

Step-by-step explanation:

arc AB has the same measure as its central angle.  So, arc AB = 120°

120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.

Therefore, the

length of arc AB = 1/3πd =  1/3π(40) =  

                            = 40π/3 in.

Answer:

D) b/a

From the given figure, O = (0, 0) and A = (a, b)

Slope of OA = (y2 - y1) / (x2 - x1)

Here x1 = 0, y1 = 0, x2 = a and y2 = b.

Slope of OA = (b - 0)/(a - 0)

Slope of OA = b/a

Answer: D) b/a

Answer:

perpendicular

Step-by-step explanation:

it would be perpendicular

Answer:

The GCF for the variable part is [tex]x^{5}[/tex]y[tex]x^{6}[/tex]. GCF Variable=x^5y^6

Multiply the GCF of the numerical part 90 and the GCF of the variable part x^5y^6. => 90x^5y^6

Step-by-step explanation:

Answer:

X 90 z 90 y 90

Step-by-step explanation:

Answer:

[tex]New\ Balance = \$302[/tex]

Step-by-step explanation:

Given

[tex]Balance = -\$19[/tex]

[tex]Deposit = \$368[/tex]

[tex]Purchase = \$47[/tex]

Required

Determine the new balance

The new balance is calculated as:

[tex]New\ Balance = Balance + Deposit - Purchase[/tex]

Purchase is subtracted because it represents debit.

So, we have:

[tex]New\ Balance = -\$19 + \$368 - \$47[/tex]

[tex]New\ Balance = \$302[/tex]

Hence, the new balance is $302

Answer:

Step-by-step explanation:

22/25

Answer:

y = 74.08

Step-by-step explanation:

Answer:

a -4, 2

b  4, 6

c 4, 2

Step-by-step explanation:

Answer:

x = 3, y =2? 5×3 - 2×2

Step-by-step explanation:

im not sure

Answer:

you would put a full dot on 7 and make an arrow going to the left

Step-by-step explanation:

Answer:

A solid dot over the 8 with the arrow going to the left

Step-by-step explanation:

56/8=7

Answer:

7 dollars and 50 cents of quarters. That right there equals 30 coins

He has a dollar and thirty cents in dimes and that equals 13 coins

Together that is $8.80. with 43 coins.

Step-by-step explanation: