y intercept : (0,6)
Explanation:
Use the formula:
. y = mx + b
Find m (the slope), using 2 random points of the graph: (-2,0) and (1,9)
. m = (y-y1) / (x-x1)
m = (0-9) / (-2-1)
m = -9 / -3
m = 3
Replace m in the equation:
. y = 3x + b
Find b by replacing y and x by a random point of the graph: (1,9)
. 9 = 3*1 + b
b = 9 - 3
b = 6
Replace b in the equation:
. y = 3x +6
To find the y-intercept replace x by 0 in the equation:
. y = 3*0 +6
y = 0+6
y = 6
=> y-intercept : (0,6)
9514 1404 393
Answer:
7 pizzas
Step-by-step explanation:
For a difference in price of $58 -25 = $33, a customer gets a difference in number of 5 -2 = 3 pizzas. Then a pizza costs $33/3 = $11.
The cost of 2 pizzas is $22, so the delivery charge is $25 -22 = $3.
For $80, after subtracting the $3 delivery charge, $77 goes to the cost of pizzas. For that amount, $77/$11 = 7 pizzas will be delivered.
Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by 
and using distributive propierty:
Substract 
from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for 
Add 4 to both sides:
Solving for 
Collect in terms of x and add 
to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for 
If we evaluate in the original equation:
Which is correct, therefore the solution is:
24.8 cm ÷ 175= 0.141... or 0.14 cm.
The answer is 0.14 cm.
Hope this helps
