With the facts you got here, you can make the following equation:

x*(x+2)=24

x^2+2x=24
x^2+2x-24=0

Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a

where
ax^2+bx+c=0

(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2

x_1 = 4
x_2 = -6

3 0

3 years ago

Ace gained $ 176 by selling 32 meters cloth for $1496. Find his loss per meters she sold it for $1276

nasty-shy [4]

Answer:xcvxvxcvxcvxcvc

Step-by-step explanation:

bcvbcvbcvb

5 0

3 years ago

A recursive arithmetic sequence is defined ad f(1)=6, f(n+1)=f(n)+5 for n>1. The first four terms of the sequence are shown i

Dennis_Churaev [7]

Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on

The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.

In function notation, the sequence is
$f_{n+1} = 6 + 5n, \\ \, n=0,1,2, \, ...,$

This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.

Answer:
The sequence is $f_{n+1} = 6 + 5n, \,\, n=0,1,2, \, ...,$
The slope is 5.

7 0

3 years ago

Read 2 more answers

How do you graph a possible situation?

Svet_ta [14]

To graph a situation that would involve a linear graph, first determine your x and y axes.
The x-axis will be the independent variable, one that does not change based on other variables. An example is time.

The y-axis, the dependent variable, depends on the independent variable.

The model equation for a linear line is y = mx + b.
"m" is the slope, and the "b" is the y-intercept (where the graph crosses the x-axis at x=0).

For example, a situtation could be that Joe starts with $10 in his account and adds $5 every day to his account.
The x-axis is time in days.
The y-axis is amount of money in his account.
The slope, or rate of change is 5.
The y-intercept, the amount of money he has at x=0 (0 days) is $10.

The equation would be y = 5x + 10
To draw this, plot the y-intercept at (0, 10), and the next point would be 5 units up and one unit to the right because the slope is 5, or 5/1 (remember slope is rise over run: "rise" up 5 and "over" to the right 1).

4 0

3 years ago