Answer:
3
Step-by-step explanation:
deccweljvrl;ej e
Evaluate:
4q + 25
q = 2
4(2) + 25
8 + 25
33
<u><em>answer is 33</em></u>
Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
Answer: 3/10
Step-by-step explanation:
Take the derivative of
to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
Answer:
25%
Step-by-step explanation:
The discount was $2.50. Dividing $2.50 by $10, we get 0.25, or 25%