Answer:
x=0, y=2
Step-by-step explanation:
Please see attached picture for full solution.
y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
<em><u>Subtract 6 from both sides.</u></em>
x - 3x = 56
<em><u>Combine like terms.</u></em>
-2x = 56
<em><u>Divide both sides by -2</u></em>
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
<em><u>Add 28 to both sides</u></em>
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
I=PRT
P=present amount
R=rate
T=time
basically
20+interest<u /> is more than or equal to 400
20+I<u>></u>400
minus 20 both sides
I<u>></u>380
solve
P=20
R=3%=0.03
T=?
I=PRT
380<u><</u>I=PRT
380<u><</u>20(0.03)(T)
380<u><</u>0.6T
divide both sides by 0.6
633.33333<u><</u>T
633.33 years at least
Answer:
Step-by-step explanation:
Start by making a common denominator. In this case, it would be 12.
Multiply -1/3 by 4 to get -4/12
Multiply -9/4 by 3 to get -27/12
Then subtract
- 
- (- 
) =23/12
You can also visualize this on a number line. Once you've made the denominator the same, start at -4/12 and move 27 units to the left to land on 23/12.
