Answer:
y = -2x - 1
Step-by-step explanation:
Formula is y = mx + b
m = slope
slope = change in y/change in x = (-1 - 3) / (0 - -2) = -4/2 = -2
So equation is now y = -2x + b
To find b, substitute any value from the table into the equation. Let's use (-2,3)
y = -2x + b
3 = -2(-2) + b
3 = 4 + b
-1 = b
So equation is y = -2x - 1
Answer:
The expression to determine the total cost in dollars is
.
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;

Hence the expression to determine the total cost in dollars is
.
Answer:
The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Step-by-step explanation:
Total length of the steel = 31 inches
Let the length of the first piece = x
let the length of the second piece = y
Let the length of the third piece = z
So,
y = 2x
z = 4x + 3
x + 2x + 4x +3 = total length of the steel = 31
7x + 3 + 31
7x = 31 - 3
7x = 28
x= 4 inches
Thus; y = 2x = 2 × 4 = 8 inches
z = 4x +3 = 4×4 +3 =19 inches
∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
The correct answer is d because every input is supposed to have exactly one output

Step-by-step explanation:


<em>Prologarithmize both parts of the equation:</em>

<u><em> Divide both parts of the equation by 2:</em></u>

