Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or .... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
And x=5200-y
Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Answer:
Step-by-step explanation:
First you need to do 5x5=25
Answer:
x >-8
Step-by-step explanation:
22−2x<38
Subtract 22 from each side
22-22−2x<38-22
-2x < 16
Divide each side by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
<h3>How to determine the point?</h3>
The equation of the function is given as:
f(x) = - |x + 3|
The points are given as:
(0, 3) and (-3, -6)
When x = 0, we have:
f(0) = - |0 + 3|
f(0) = -3 --- different y value from (0, 3)
When x = -3, we have:
f(-3) = - |-3 + 3|
f(-3) = 0 --- different y value from (-3, -6)
This means that the x values point to different y values (this does not represent a function)
Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
Read more about functions and relations at:
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Let the four numbers be A,B,C,D in ascending order.
The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.
Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.
So the numbers are
A=-9, B=-2, C=2, D=3.