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2 years ago

In 2002, the membership of a club totaled 5 thousand. By 2005, there were 29 thousand members of this club.

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

4 0

Answer:

(0, 5)

(3, 29)

b) y = 8x + 5

c) 101 thousand

Step-by-step explanation:

slope m = (29-5)/(3-0) = 24/3 = 8

y-intercept = (0, b) = (0, 5)

y = mx + b

y = 8x + 5

2014 - 2002 = 12

y = 8(12) +5

y = 96 + 5 = 101

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A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per

Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile = 13 cents = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B - Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence, Company B charges $(15.5+0.12x) more for x miles than company A.

7 0

2 years ago

Please help me with this question and can u please do it on paper and take a pic of it. Thank You!

Likurg_2 [28]

click on pics click on pics

GodBless c:

4 0

3 years ago

Help me soon please

STALIN [3.7K]

Answer:

i’m pretty sure the answer is b

7 0

3 years ago

A rectangular park is 6x + 2 ft long and

Novosadov [1.4K]

Answer: 18x^2 + 48x - 50

Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.

The area of the square is given as

Area = L x B, where A and B are of equal measurement (sides of a square)

Area = 8 x 8

Area = 64 ft^2

Next we calculate the area of the rectangle which is given as

Area = L x B, where L = 6X + 2 and W = 3X + 7

Area = (6X + 2) (3X +7)

Area = 18X^2 + 42X + 6X + 14

Area = 18X^2 + 48X + 14

We can now subtract the area of the square from the area of the rectangle

That is Area of the shaded region

= 18X^2 48X + 14 - 64

= 18X^2 + 48X - 50

Therefore, the area of the shaded region = 18X^2 + 48X - 50

5 0

2 years ago

A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0

2 years ago