All categories

2 years ago

If a number is added to its square, the result 132. Find the number.

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

x^2+x=132

x=11

im sorry I cant explain how I got the answer aside from saying 10*10=100 100+10 is 110 so I was like lets try 11

You might be interested in

Help Not sure .. does anyone have a clue ?

denis23 [38]

Answer:

Step-by-step explanation:

f(x)=2(x+4)(x-1)

=(2x+8)(x-1)

=2x²+6x-8

5 0

2 years ago

Read 2 more answers

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

2 years ago

The population of bacteria in a petri dish doubles every 12 h. The population of the bacteria is initially 500 organisms. How lo

Alenkasestr [34]

Answer:

The answer is 8.1 h

Good luck!!!!!

Step-by-step explanation:

6 0

3 years ago

6. Determine how each multiplication or

tangare [24]

A) 27, 81
b) -30,-15
c) -3, 1
d) -320, 1280

3 0

3 years ago

3x+5y-4=0<br> what is the slope and y-intercept?

zaharov [31]

Answer:

$3x + 5y - 4 = 0 \\ 3x + 5y = 4 \\ 5y = 4 - 3x \\ y = \frac{4}{5} - \frac{3}{5} x \\ y = mx + c \\ slope = m = \frac{ - 3}{5} \\ y \: intersept = c = \frac{4}{5} \\ thank \: you$

5 0

2 years ago