9] Rocky Falls would be 13.4°F at sunrise.
Use the equation 23.1 + (-9.7) = x, where x is the temperature at sunrise (13.4)
23.1 + (-9.7) = 23.1 - 9.7
Solve so that x = 13.4
10] Jamie originally had $263.25 in her account.
Just add how much she spent (135.75 + 32) to how much she ended up with (95.5)
135.75 + 95.5 + 32 = 263.25
If you are asking how much she has if she started out with $95.50 before going to the Mets game,
95.5 - (135.75 + 32) = -$72.25
Or 95.5 - 135.75 - 32, same result of -72.25
Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
