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2 years ago

Please help Linear equations

Mathematics

1 answer:

svlad2 [7]2 years ago

8 0

Answer:

2 and 4

Step-by-step explanation:

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What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...

pochemuha

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

$a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}$

So, the explicit formula is for n

$\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

2 years ago

Explain how you would solve 16/c=8. Then solve the equation

Hoochie [10]

$\frac{16}{c} = 8$

16 = c8

c = $\frac{16}{8}$

c = 2

hope this helps!

7 0

3 years ago

Q1: Gabbi purchased a 30 lb. bag of dog food. Gabbi has 3 dogs that each eat 20 ounces of dog food per day. How many days will t

olya-2409 [2.1K]

Answer:

x=8

Step-by-step explanation:

First multiply 30 and 16 to find out how many ounces are in the 30 lb. bag of dog food.

30 x 16=480

Since the 3 dogs eat 20 ounces of food, we can make a equation.

3(20x)=480

20 x 3=60

60x=480

x=8

<u>Final answer</u>

8 days

3 0

2 years ago

1. The handwritten rough draft of your book report is 4 pages long. Typing

alexandr402 [8]

Answer:

The report is 960 words long.

Step-by-step explanation:

The handwritten book report is 4 pages long and the typed report is 3 pages long.

Now, it is given that typing at a steady rate of 20 words per minute, it takes 48 minutes to enter the report into soft copy.

So, the required number of words of the report is (20 × 48) = 960 words.

Hence, the report is 960 words long. (Answer)

3 0

3 years ago

Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following f

AleksAgata [21]

Answer:

a) -15 unites per dollar

b) -12 units per dollar

c) -18 units per dollar

Step-by-step explanation:

We are given the following in the question:

$N(p) = 100-3p^2, 1\leq p \leq 4$

where N(p) is the number of boxes of nails at p dollars per box.

a) average rate of change of demand for a change in price from $2 to $3.

Average rate of change =

$\displaystyle\frac{N(3) -N(2)}{3-2}\\\\=\frac{100-3(3)^2-(100 - 3(2)^2)}{1}\\\\= -15\text{ units per dollar}$

b) instantaneous rate of change of demand when the price is $2

Instantaneous rate =

$N'(p) = \displaystyle\frac{d(N(p))}{dp} = -6p$

$N'(2) = -6(2) = -12$

The instantaneous rate of change of demand when the price is $2 is decreasing at 12 units per dollar.

c) instantaneous rate of change of demand when the price is $3

Instantaneous rate =

$N'(3) = -6(8) = -18$

The instantaneous rate of change of demand when the price is $3 is decreasing at 18 units per dollar.

4 0

2 years ago