e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x =

Answer: c.(3, 25) and (7, 9)

y = –x^2 + 6x + 16 and y = –4x + 37

Plug in -4x+37 for y in first equation . It becomes

Combine like terms. add 4x  and subtract 37 on both sides

Divide the whole equation by -1 to remove negative sign from -x^2

Now factor the left hand side

(x-7)(x-3) = 0

x-7 =0  and x-3=0

x= 7  and x=3

Now we find out y using y = –4x + 37

when  x= 7 , then y=-4(7) +37 = 9

when x= 3, then y=-4(3) + 37 = 25

We write solution set as (x,y)

(7,9)  and (3,25) is our solution set

Answer:

1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)

g(x)=-1/3x+10  7) y= $0.36

Step-by-step explanation:

These questions are all about Cartesian Geometry.

1) The Distance from point (7,-6) to  vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)

d=|7-0|=7

2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).

So (k,0)=(-1,0)

3) To find the slope of the line, we must apply that formula used above.

4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by

And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)

5) Similarly to the previous one:

6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)

If the line was straight from the origin to point (3,9)

But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.

Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10

g(x)=-1/3x+10

7) In this case, we must also find the function.

x=units of electricity, y=units of gas |

500x+100y=331

400x+250y=326

The cost per unit of gas is y. Finding out the unit value for y

Answer:

The answer is: expected value is -$0.88

Step-by-step explanation:

Given is, the he bidding starts at 1¢ and goes up 1¢ at a time. A television that is worth $2000 is won, on average, with a bid of $160. So, $160 in 1¢ steps means 16000 bids.

Therefore, a person invest $1 with a 1/16000 probability of a $2000 return.  

Noe, the expected value will be =  

= -1+0.125 = -0.875 ≈ -$0.88

Hence, the answer is -$0.88

Answer:

The volume of the tank is

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

In this problem we have

-----> the radius is half the diameter

substitute

Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5)  → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates  of the point(x, y) after the translations are:  P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates  of the point P(0, 0) after the translations are:

• P''(2, 7)

The final coordinates of the point after the translations are (x + 2, y + 7). Let's start with a point (x, y) and apply the translations step by step: 1. Translate the point 3 units left and 5 units up:

New coordinates after the first translation: (x - 3, y + 5)

2. Translate the new point 5 units right and 2 units up:

New coordinates after the second translation: (x - 3 + 5, y + 5 + 2)

Now, simplify the expressions inside the parentheses:

New x-coordinate: x - 3 + 5 = x + 2

New y-coordinate: y + 5 + 2 = y + 7

So, the final coordinates of the point after the translations are (x + 2, y + 7).

To know more about coordinates:

brainly.com/question/32836021

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