we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
Answer:
m = 48
Step-by-step explanation:
6=m/8
Multiply each side by 8
6*8 = m/8 *8
48 = m
Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517
Answer:
x =1 for the first problem
and for second question
Step-by-step explanation:
Let's solve your inequality step-by-step.
|2x+5|>0.5
Solve Absolute Value.
|2x+5|>0.5
We know either2x+5>0.5or2x+5<−0.5
2x+5>0.5(Possibility 1)
2x+5−5>0.5−5(Subtract 5 from both sides)
2x>−4.5
2x2>−4.52(Divide both sides by 2)
x>−2.25
2x+5<−0.5(Possibility 2)
2x+5−5<−0.5−5(Subtract 5 from both sides)
2x<−5.5
2x2<−5.52(Divide both sides by 2)
x<−2.75
Answer:
x>−2.25 or x<−2.75
