Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
John sold 10 hamburgers and 14 cheeseburgers.
Step-by-step explanation:
Given,
Cost of one hamburger = $3
Cost of one cheeseburger = $3.50
Total burgers sold = 24
Total revenue earned = $79
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=24 Eqn 1
3x+3.50y=79 Eqn 2
Multiplying Eqn 1 by 3
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 0.50
Putting y=14 in Eqn 1
John sold 10 hamburgers and 14 cheeseburgers.
Keywords: linear equation, elimination method
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Answer:
The expression is 20 - 50/5
Step-by-step explanation:
First we have the quotient of 50 and 5.
This is written as:
50/5
And we know that this is equal to 10, but let's leave it as 50/5 for now.
Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:
20 - 50/5
Now we can also solve this:
20 - 50/5 = 20 - 10 = 10
Answer:
Hi there!
Your answer is:
Small number = 20
Larger number = 77
Step-by-step explanation:
larger= 4s-3
smaller = s
s+ 4s-3 = 97
5s-3 = 97
+3
5s = 100
/5
s= 20
large number = 4(20)-3
80-3
larger = 77
Double check work!
20+77= 97✓
Hope this helps!