Answer:
x=-2.5
Step-by-step explanation:
3x-12+7=5x
-5=2x
-2.5=x
3:2
3x - first number
2x - second number
2x = 24 / : 2
x = 12
3*12 = 36
answer: the larger number is 36.
Answer:
x=-4
x=6
Step-by-step explanation:
Lets put to work the well known quadratic equation:

Let us also, remember the given equation: x^2-2x-24=0
Where 'a' would be equals to 1, 'b' equals to -2 and c equals to -24.
The quadratic equations with those values is:

Where we obtain two values.
x1= -4
and x2= 6
Answer:
It will take 554 years
Step-by-step explanation:
Here, we want to estimate the time when t will be $50
We can rewrite the exponential equation as;
y = 200(1-0.0025)^t
In this case, y = $50 and we want to calculate t
so, we simply proceed to substitute the value 50 for y
we have this as ;
50 = 200(1-0.0025)^t
50/200 = (1-0.0025)^t
1/4 = 0.9975^t
0.25 = 0.9975^t
Take the natural logarithm of both sides
ln 0.25 = ln 0.9975^t
ln 0.25 = t ln 0.9975
t = ln 0.25 / ln 0.9975
t = 553.8 = 554 years
The bike will be $50 in 554 years
Step-by-step explanation:

standard form

function form

y-intercept = -6