Answer:
A) 0.106
Step-by-step explanation:
8e^3x + 4 = 15
Subtract 4 from each side
8e^3x + 4-4 = 15-4
8e^3x = 11
Divide each side by 8
8/8e^3x = 11/8
e^(3x) = 11/8
Take the natural log of each side
ln(e^(3x)) = ln(11/8)
3x = ln(11/8)
Divide by 3
3x/3 = 1/3 ln(11/8)
x = 1/3 ln(11/8)
x =.106151244
To the nearest thousandth
x = .106
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
Answer:
22
Step-by-step explanation:
5(5) - 6(3) + 20(1/4)4(3)(1/4)
25 - 18 + 5*12*0.25
25 - 18 + 60*0.25
25 - 18 + 15
7 + 15
22
Answer:
The function concerning the evolution of the value of the first car is exponential and the one concerrning the value of the second car is linear
Step-by-step explanation:
1st car's drop in value ( not considering the second hand type of drop):
1.4500$
2.4050$
3.3645$
2nd car's value is dropping 3000$ every year so the function is f(n)=45000-3000n, n- number of years
Answer:
D-45,45,90
Step-by-step explanation:
Think about it both of the sides of the triangle are the same, so that would mean two of the degrees would be the same