Answer:
Option C is correct.
Step-by-step explanation:
y = x^2-x-3 eq(1)
y = -3x + 5 eq(2)
We can solve by substituting the value of y in eq(2) in the eq(1)
-3x+5 = x^2-x-3
x^2-x+3x-3-5=0
x^2+2x-8=0
Now factorizing the above equation
x^2+4x-2x-8=0
x(x+4)-2(x+4)=0
(x-2)(x+4)=0
(x-2)=0 and (x+4)=0
x=2 and x=-4
Now finding the value of y by placing value of x in the above eq(2)
put x =2
y = -3x + 5
y = -3(2) + 5
y = -6+5
y = -1
Now, put x = -4
y = -3x + 5
y = -3(-4) + 5
y = 12+5
y =17
so, when x=2, y =-1 and x=-4 y=17
(2,-1) and (-4,17) is the solution.
So, Option C is correct.
Positive: 690
Negative: -30
Answer:
Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:
Logarithm of the base:
Product rule:
Division rule:
Power rule:
Change of base:
Simplifying logarithms often requires the application of one or more of the above properties.
Simplify
Factoring 
.
Applying the power rule:
Since
Applying the power rule:
Applying the logarithm of the base:
Answer:
The cost would be 22.75
Step-by-step explanation:
To find the cost of each topping, we simply take the excess cost and divide it by the number of toppings. To find the excess cost, take the new cost and subtract the original cost.
17.50 - 14.00 = 3.50
Now divide that by the amount of toppings.
3.50/2 = 1.75
Now we can multiply the new number of toppings by that amount and add the cost of the pizza.
5(1.75) + 14.00
8.75 + 14.00
22.75
Answer:
He needs 9 pages
Step-by-step explanation:
8 will be full and 1 will have 2 extra
36 divided by 4
8 with 2 left over so 9 pages
