Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
The number of comic books is an illustration of a linear function
- The complete equations are:
and 
- The value of b has increased by 4
She had 17 comic books already.
So, we have:
Her order of 65 books contains 8 comic books per collection.
So, we have:
This is represented as:
So, we have:
Rewrite as:
Subtract 17 from both sides
Divide both sides by 8
Assume she has 97 books in her collection, then the equation would be represented as:
Subtract 17 from both sides
Divide both sides by 8
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
Read more about linear equations at:
brainly.com/question/11897796
Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²
Answer:
12.99 or 13 rounded
Step-by-step explanation:
99.99/(.13)=12.9987
