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Wittaler [7]
3 years ago
13

the product of 2 consecutive integers is 5 more than the square of the smaller integer.What is the value of the smaller integer?

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

5

Step-by-step explanation:

lets say that the small number is x, the consecutive one must be x+1

x(x+1) = x²+5 ; distribute x

x²+x = x²+5 ; subtract x² from both sides

x= 5

check :

5*6 = 30

5²+5 = 25+5 = 30

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Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s pro
marysya [2.9K]
The last one
P(n) = 1.55n-120
5 0
3 years ago
Answer this correctly for brainliest pls!!
Molodets [167]

A function that depicts depreciation can be represented as equations, graphs and tables.

<h3>The yearly value of each car for the first five years</h3>

The functions are given as:

V(t) =C(1 - r^t)

V(t) =C(1 - r)^t

Where:

C = 5895 --- the initial value of the car

r = 22% --- the rate of depreciation

For the first 5 years, the values of t = 1, 2, 3, 4 and 5

For the first function, we have:

V(1) =5895(1 - 22\%^1) = 4598.1

V(2) =5895(1 - 22\%^2) = 5609.7

V(3) =5895(1 - 22\%^3) = 5832.2

V(4) =5895(1 - 22\%^4) = 5881.2

V(5) =5895(1 - 22\%^5) = 5892.0

For the second function, we have

V(1) =5895(1 - 22\%)^1 = 4598.1

V(2) =5895(1 - 22\%)^2 = 3586.5

V(3) =5895(1 - 22\%)^3 = 2797.5

V(4) =5895(1 - 22\%)^4 =2182.0

V(5) =5895(1 - 22\%)^5 = 1702.0

So, the table of values is:

\left[\begin{array}{ccc}Years&Car\ 1&Car\ 2\\1&4598.1&4598.1\\2&5609.7&3586.5\\3&5832.2&2797.5\\4&5881.2&2182.0\\5&5892.0&1702.0\end{array}\right]

See attachment for the graphs of the two functions

<h3>Interpreting the graphs</h3>

The graph of car 1 increases up to C(t) = 5895, and then remains constant as the value of t increases while the graph of car 2 follows an exponential pattern.

This means that, the graph 2 that follows an exponential pattern is more realistic

<h3>The worth of the cars after 5 years</h3>

From the table, the worth of car 1 is $5892.0, while the worth of car 1 is $1702.0

Read more about graphs and functions at:

brainly.com/question/13473114

5 0
2 years ago
What is the length of side BC? Round the answer to the nearest tenth.
Nostrana [21]

Answer:

The length of side BC is 2.8 units

Step-by-step explanation:

* Lets revise how to find the distance between two points

- If there are two points their coordinates are (x1 , y1) and (x2 , y2),

 then we can find the distance between them by this rule:

 d = √[(x2 - x1)² + (y2 - y1)²]

- Now lets solve the problem

∵ B = (3 , 3)

∵ C = (5 , 1)

- To find the length of BC use the rule of the distance above

- Let point B is (x1 , y1) and point C is (x2 , y2)

∵ x1 = 3 and x2 = 5

∵ y1 = 3 and y2 = 1

∴ BC = √[(5 - 3)² + (1 - 3)²]

∴ BC = √[(2)² + (-2)²]

∴ BC = √[4 + 4] = √8 = 2.8 units

* The length of side BC is 2.8 units

7 0
3 years ago
Read 2 more answers
Solve the equation: 3(x - 4) = -21
Stells [14]

Answer:

x= -3

Step-by-step explanation:

3(x-4)= -21

x - 4 = -7( to get this divide both sides of the equation by 3 )

x = -7 + 4 ( add 4 to both sides of the equation)

x = -3 ( then add -7 and 4 to get -3)

So clearly x = -3

HOPE THIS HELPED

6 0
4 years ago
Read 2 more answers
A. y = 1x+2!<br> or<br> B. y = 1x - 21
Helen [10]

Answer:

B.y=|<u>x-2</u><u>|</u>

Step-by-step explanation:

y is equal to the modulus of x-2 two because in the graph the the line cut at -2

7 0
3 years ago
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