P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2
Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3
Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x
Answer: The equation of the line is: y=-(2/3)x
Answer:
39
Step-by-step explanation:
Given the function :
h(t) = t² + 2
From t = 5 to t = 8
when, t = 5
h(5) = 5² + 2
h(5) = 25 + 2
h(t) at t = 5 ; equals 27
when, t = 8
h(5) = 8² + 2
h(5) = 64 + 2
h(t) at t = 8 ; equals 66
Net Change :
h(8). - h(5)
66 - 27 = 39
Y= -x+1 because the slope is negative
Answer:
f'(x) = 1
General Formulas and Concepts:
<u>Calculus</u>
- Limit Properties:
- Definition of a Derivative:
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x + 2
<u>Step 2: Find derivative</u>
- Substitute:
- Distribute:
- Combine like terms:
- Divide:
- Evaluate:
First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.
25% ⇒ 0.25
Now, multiply 0.25 by 49.95.
0.25 × 49.95 = 12.46
25% of 49.95 is 12.46, so subtract 12.46 from 49.95.
49.95 - 12.46 = 37.49
<h2>Answer:</h2>
<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>
Now find 8% of 37.49.
8% ⇒ 0.08
Multiply 0.08 by 37.49.
0.08 × 37.49 = 2.99
<h2>Answer:</h2>
<u>The tax is </u><u>$2.99</u><u>.</u>
To find the full price, add 37.49 and 2.99 together.
37.49 + 2.99 = 40.48
<h2>Answer:</h2>
<u>The final cost is </u><u>$40.48</u><u>.</u>
