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Vadim26 [7]
3 years ago
13

The present price of a motorcycle is

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

Motorcycle= 2,25,000

Year 1 =2,25,000*92/100= 207 000

Year 2= 207 000*0.92= 190 440

Year 3= 190 440*0.92= 175 204.80

Ans. Year 3

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Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi. 88 ft 100 ft 176 ft 201 ft
denis23 [38]

Complete question :

A circular swimming pool has a radius of 28 ft. There is a path all around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.

About how many feet of fencing are needed to go around the pool path

Answer:

201 feets

Step-by-step explanation:

The Circumference of a circle, C :

C = 2 * pi * r

r = Radius ; pi = 3.14

The entire Radius = pool radius + pathnaroind the pool = 28 + 4 = 32

Hence, the Circumference, which gives the value of fencing required is :

C = 2 * 3.14 * 32

C = 200.96 ft

C = 201 feets

7 0
3 years ago
Write a rule for g described by the transformation of the graph of f...
Svetlanka [38]

Answer:

g(x) = 4-4\sqrt{x}

Step-by-step explanation:

Given

f(x) = 4\sqrt{x}+1

1. 5 units down translation

2. Reflection in the x-axis

Required

Determine the resulting function g

1. 5 units down translation

This is defined by the rule:

A down translation is:

f'(x) = f(x) - b

Where b is the number of units.

So, we have:

f'(x) = 4\sqrt{x} + 1 - 5

f'(x) = 4\sqrt{x} -4

2. Reflection in the x-axis

For a function f(x),

When reflected over the x-axis, it becomes -f(x)

So:

g(x) = -f(x)

g(x) = -(4\sqrt{x} - 4)

g(x) = -4\sqrt{x} +4

g(x) = 4-4\sqrt{x}

4 0
3 years ago
Dari data berikut tentuka median ( nilai tengah):
Andrej [43]
First, put the numbers in order
A. 1,2,3,4,5,7,8,8,9.....median (middle number) is 5..when there is an odd number of data values, there will only be one median.
B. 14,14,15,16,17,18,19,20....if there is an even number of data points, there will be 2 middle numbers. In that case, u add the 2 middle numbers and divide by 2 to find the median. (16 + 17) / 2 = 33/2 = 16.5 is ur median.
7 0
3 years ago
Which table most accurately organizes the data from the graph?
Brilliant_brown [7]

Answer

It's B

Step-by-step explanation:

It organizes the years from 1-6 and keeps the money consistent with the years

5 0
2 years ago
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