Answer:
<em>y=-5</em>
Step-by-step explanation:
<u>Equation of the line</u>
Lines can be expressed in several forms. The slope-intercept form of the line is:
y = mx + b
Where m is the slope of the line and m is the y-intercept.
If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:
y = b
To find the value of b, just substitute the given point:
-5=b
The equation of the line is:
y=-5
When x = 0, the value of f(x) is 2. You can see why below
f(x) = (2^x) + 1
f(0) = (2^0) + 1
f(0) = 1+1
f(0) = 2
So the point (0,2) is on the curve. This is visually shown as the y intercept (the location where the curve crosses the y axis)
When x = 2, the value of f(x) is 5
f(x) = (2^x) + 1
f(2) = (2^2) + 1
f(2) = (4) + 1
f(2) = 5
So (2,5) is another point on this curve
Find the slope of the line through these two points
m = (y2 - y1)/(x2 - x1)
m = (f(2) - f(0))/(2 - 0)
m = (5 - 2)/(2 - 0)
m = 3/2
m = 1.5
The slope as a fraction is 3/2
The slope as a decimal is 1.5
So the rate of change is 1.5
Answer:
Greater than
Step-by-step explanation:
(<em>C</em> × 9/5) + 32 = <em>F</em>
(23°C × 9/5) + 32 = 73.4°F
Therefore, 23°C is greater than room temperature (70°F).
Answer:
$5903.39
Step-by-step explanation:
This can be solve using compound interest formula. The formula is:
Where
F is the future amount (what we are looking for)
P is the present amount (which is 4800)
r is the rate of compound interest per year, in decimal (3% per year, 3/100 = 0.03)
t is the time in years ( t = 7)
Now we substitute these values into the formula and find F:
So, Colin would have $5903.39 after 7 years, in his account.
