First account: $6500
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
Answer:
y=4x and x+4y=12 are perpendicular because they have opposite reciprocal slopes
Step-by-step explanation:
y=4x slope is 4
x+4y=12 slope is -1/4
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
The domain is all x values, and the range is all y values.
<u><em>Domain:</em></u>
The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
<em><u>Range:</u></em>
The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
:Done
Simplifying this, we get:
(x+4)(x-4) = 0
Now, to get 0, we can replace x for one of these things to make 0, so:
x can either be 4, or -4
Answer:
(82/3, -111/2) or x=82/3, y=-111/2
Step-by-step explanation:
