Answer:
x=291/76
Step-by-step explanation:
Convert:
1/2x(6x+ 1/2)=-0.8x+16-1.2
Remove parenthesis and move terms:
3x+1/4=-0.8x+14.8
Collect the like terms and convert:
3x+0.8x=14.8-1/4
Subtract the fractions:
3.8x=74/5-1/4
Divide both sides by 3.8:
3.8x=291/20
x=291/76
Answer:
(-2,-1)
Step-by-step explanation:
y=2x+3
y=3x+5
so y=y
then:
2x+3=3x+5
3-5= 3x-2x
-2= X
x=-2
<em><u>Question:</u></em>
If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?
<em><u>Answer:</u></em>
The constant of proportionality is 250
<em><u>Solution:</u></em>
Given that,
y varies inversely with the square of r
Which means,

Where, "k" is constant of proportionality
Subtitute y = 10 and r = 5

Thus the constant of proportionality is 250
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
, 
Where:
- First term of the series, dimensionless.
- Common ratio, dimensionless.
A geometric series converges only if
. As
, the geometric series diverges. Hence, the right answer is C.