All categories

2 years ago

Give an example of a system of linear equations that can be solved by first adding the equations to eliminate one variable.

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

f ( 7 ) = 2.4 ft

Step-by-step explanation:

Solution:-

- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :

f ( x ) = 18 (0.75)^x

Where, x e [ 0 , ∞ ) : The number of bounces.

f (x) : The maximum height after xth bounce.

- The maximum height reached by the ball after its 7th bounce. So, x = 7:

f ( 7 ) = 18 (0.75)^7

f ( 7 ) = 2.4027 ft

- To the nearest tenth:

f ( 7 ) = 2.4 ft

You might be interested in

If 15 pen cost $3.90, which equation would help determine the cost of 6 pens?

madreJ [45]

Answer

1.56

Step-by-step explanation:

You must find the unit rate. To do so, you must divide 3.90 by 15. That will give you 0.26. After, times 6 and .26 to get your answer. Hope this helps.

8 0

2 years ago

A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree

NeX [460]

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

8 0

2 years ago

Which property was used to simplify the expression?

Alex Ar [27]

Inverse Property, I am pretty sure. Not sure though.

7 0

2 years ago

Read 2 more answers

Find the 5th term of the sequence which has a first of 1 and a common ratio of 2.3

sveticcg [70]

Hello :

the nth term is : An =A1 × r^(n-1)

A1 = 1 r = 2.3 n = 5

A5 =1 × (2.3)^(5-1)=27.9841

3 0

2 years ago

Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho

Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is: