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3 years ago

3-8 Present Value of Investments 165

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

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In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

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3 years ago

3/4 x = 2/5 please answer this

Vlada [557]

Answer:

= 8 /1 5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Hyperloop, a new mode of travel, aims to reach a speed of 170170 \dfrac{\text{m}}{\text{s}} s m . This is 50\%50% less than th

liraira [26]

Answer:

Speed of sound is 340 meter per second.

Step-by-step explanation:

Let the speed of sound = x meter per second.

It is given that,

The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.

So, we get,

x - 50%x = 170

i.e. x - 0.5x = 170

i.e. 0.5x = 170

i.e. x = 340 meter per second

Hence, the speed of sound is 340 meter per second.

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3 years ago

Find the area of each figure s (10 Points) 12 mi 1 8 mi 18 mi 5 mi

Ksenya-84 [330]

I think it is 135 mi to the 2 power

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3 years ago

Answer quick find the coordinates

Mekhanik [1.2K]

Answer:

(-4, -3), (4, -1), (8, 0), (12, 1)

Step-by-step explanation:

The x- and corresponding y-values are listed in the table. Put each pair in parentheses, x-value first. (That is an ordered pair.)

(x, y) = (-4, -3) . . . . from the first table entry

(x, y) = (4, -1) . . . . from the second table entry

(x, y) = (8, 0) . . . . from the third table entry

(x, y) = (12, 1) . . . . from the last table entry

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3 years ago