I will named this exponential function as y= - 343^x .
This function is symmetrical with function y = 343^x in relation to X axis.
In general their formula is y=a^x or in your case y= - a^x
First I'll describe y=a^x => this function has domein Dx=R ( Whole field of real number), range is in interval ( 0, +infinity), when x increases and y increases, when x decreases and y decreases. This function is always positive in whole domain and always is growing function. And X axis is its asymptote (y=0).
In your case function y= - 343^x has folowing features:
domein Dx=R
range is in interval (-infinity, 0)
when x increases => y decreases =>
example: y= -2^2=-4, y= -2^3=-8 etc....
when x decreases => y increases ->
example: y= -2^(-2)= - 1/(2^2)= - 1/4, y=-2^(-3)= - 1/(2^3)= - 1/8 etc....
this function is always negative
this function is always declining
x axis is its asymptote from the top ( y=0)
Answer: 
Step-by-step explanation:
The formula for the area of a paralellogram is:
bh=a
Where
b is the base (15 for this)
h is the height (5 for this)
and a is the area
Let's sub our values into the formula
Now solve
Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!
For this case, the first thing we must do is define variables.
We have then:
x = number of dimes
y = number of quarters
We write the system of equations:
0.10x + 0.25y = 4.55
x = y
Solving the system we have:
x = 13
y = 13
The value of the dimes is:
(0.10) * (13) = 1.3 $
Answer:
The value of only the dimes is:
1.3 $
Answer:
the length is 8ft
the width is 3ft
Step-by-step explanation:
Step one:
given
perimter= 22ft
let the length be x
width = x-5
Step two
the expression for the perimeter of a rectangle is
P=2L+2W
substituting our data
22= 2(x)+2(x-5)
open brackets
22=2x+2x-10
collect terms and solve for x
22+10=4x
32=4x
divide both sides by 4
x= 32/4
x= 8ft
the length is 8ft
the width = x-5= 8-5= 3ft
