<span> 80/-40=-40/20=-2,
the sequence: 80, -40, 20 is a geometric sequence
its general formula is Vn+1 = q Vn, where q= -2,
if we put </span>Vn+1 = f(x)
<span> Vn = x
so we have f(x)= -2x so the graph that represents the sequence is graph of linear equation
</span>
Answer:
The equation for finding the hypotenuse is:
c^2+c^2=h^2
For example, in the first exercise:
8^2+10^2=164^2
For clearing the equation, find out the root of 164=
12.8
Hypotenuse of the first triangle is 12.8!
Let me help you with the next, if you still dont get it:
8^2+13^2=233^2
Root of 233: 15.2
Hypotenuse of second triangle is 15.2!
Answer:
x = -9/4
Step-by-step explanation:
−2(x + 1/4) + 1 = 5
Subtract 2 from both sides.
−2(x + 1/4) = 4
Divide both sides by -2.
x + 1/4 = -2
Subtract 1/4 from both sides.
x = -2 1/4
x = -9/4
Answer:
186 beats per minute
Step-by-step explanation:
The maximum heart rate (r ) in beats per minute is modeled by the equation :
r = 220 - a ...(1)
Where
a is age of the person in years
If Sanchez age is, a = 34 years
Put a = 34 in equation (1)
r = 220 - 34
= 186 beats per minute
Hence, the maximum heart rate is 186 beats per minute.
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
