the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Yes, -6.7 is equal to -6 and 7/10. We know that in -6.7, 7 is in the tenths place. So you would have -6 7/10. You can also divide 7 by 10. 7 divided by 10 equals .7. So -6.7 is equal to -6 7/10. I hope that I could help! It is a lot easier than it first sounds!
Answer:
Part 1;
10y + 4x ≤ 96
Part 2;
y = 8
x = 4
Step-by-step explanation:
1 - Write an equation
Let z equal the total price
10y + 4x = z
2 - Use that to answer the questions
"Write an inequality to represent the different possible combinations that Andy can buy if he has $96."
<em>If Andy has $96 that means the amount the two add up two can equal 96 or be less than 96 however not any more. That means 10y + 4x must be less than or equal to 96. This is written as follows</em>
<em />
10y + 4x ≤ 96
With this in mind we can answer the following question of what is one possible combination. To do this, lets assume
10y + 4x must equal 96
Lets make 96 divisible by 10 using our pounds of roast beef.
To do this we need to get rid of the 6; which we can do so by turning 4x into 16. 4 goes into 16 4 times.
Therefore;
10y + 4x = 96
10y + 4(4) = 96
10y + 16 = 96
- 16 - 16
10y= 80
Divide both sides by 10
y = 8
And our x when y = 8 was 4
so
x = 4
$7
30 divided by 6 is 5, then you take that 35 and divide it by the 5and you will end up with $7
