(2,-2)
(7,8)
-2-8 = -10
——. ——-
2-7. -5
-10/5 = 2/1
2/1 =
2
Slope is 2
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Answer:
The first answer is correct
Step-by-step explanation:
Answer (<u>assuming it can be written in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula, 
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is 
.
2) Now, use the point-slope formula 
to write the equation of the line. Substitute 
, 
, and 
for real values.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (
format) and find the following answer:
Answer:
$0.48
Step-by-step explanation:
<u>Step 1: Make an equation to help show the relation ship
</u>
The phone company charges a 1.5% service fee on all long distance calls.
%1.5x
<em>0.015x
</em>
<u>
</u>
<u>Step 2: Plug in and then multiply
</u>
0.015x
0.015(32)
<em>$0.48
</em>
<u>
</u>
Answer: $0.48
