Given b(x) = |x+41, what is b(-10)? O-10 0-6 06 O 14

9/17 15/34 6/17 9/34 geometric sequence?

zysi [14]

In a geometric sequence each number after the first is found by multiplying the previous number by a fixed number called the common ratio.

In an arithmetic sequence, each term is equal to the previous term plus or minus a constant called the common difference.

In your problem we have a sequence of numbers that appears to be decreasing in value, but on the surface it doesn't appear to be by any constant number... but if you look closely, the denominator 34 is exactly twice the other denominator 17. This would lead me to look at a common denominator to see if anything takes shape...

9/17 = 18/34
15/34
6/17 = 12/34
9/34

Now we see that each number is the previous number minus 3/34, so we have a common difference of 3/34.

This would match the definition of an arithmetic sequence and NOT a geometric sequence.

6 0

3 years ago

A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase

hram777 [196]

Given that for each $2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
$(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2$ .

Also, given that for each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
$5(150-4x)=750-20x$

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
 $(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2$

For maximum profit, the differentiation of the profit function equals zero.
i.e.
 $\frac{d}{dx} (6,450+128x-8x^2)=0 \\ \\ 128-16x=0 \\ \\ x= \frac{128}{16} =8$

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the rental charge will maximize profit is $64.

3 0

3 years ago

PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️

Inessa [10]

Answer:

Hi .. im happy to help

answer is 0.033

Step-by-step explanation:

P = C(4,4)÷C(10,4)

P = 1 ÷ 30

$p = \frac{1 }{30}$

p = 0.033

3 0

2 years ago

james attached a diagonal brace across a rectangular frame that measures 6ft by 8ft what is the length of the diagonal brace

Bogdan [553]

To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.

4 0

3 years ago

Susannah has a high-yield savings account into which she deposits $140 each month. At the beginning of the year, Susannah's acco

motikmotik

Answer:

Her account balance will be $2,080 at the end of the year

Step-by-step explanation:

Let

y ----> Susannah's account balance

x ---> is the amount of time in months

we have

$y=140x+400$

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

$m=\$140\ per\ month$

The y-intercept or initial value is equal to

$b=\$400$

Remember that

One year is equal to 12 months

so

For x=12 months

substitute in the linear equation

$y=140(12)+400=\$2,080$

5 0

3 years ago