Answer:
a=1/3
Step-by-step explanation:
from the point on the graph
x=4 and y=8
substitute them into the equation:
y=a(x-2) (2x+4)
you will get
8=a(4-2) (2(4)+4)
8=a(2) (8+4)
8=a(2) (12)
8=2a×12
8=24a
divide both sides by 24
8/24=24a/24
1/3=a or a=1/3
3x^4 becomes 3(3x)^4=3*3^4*x^4
y^2 becomes (3y)^2=3^2y²
the new z=3² the old z, so b is correct.
Answer:
23,203.1
Step-by-step explanation:
Generally, an odometer measures distance traveled during the usage life cycle of a car. It is necessary to say the distance is measured cumulatively.
Now, to get the value the odometer will be reading after the trip, we need to add the present reading of the odometer to the new distance to be traveled.
Thus, the reading of the odometer after the trip will be 22900.6 + 302.5 = 23,203.1
Every rational expression can be written in infinitely many equvialent forms which is 3/3n-15/2.
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
