Answer:
3(- 6 + m)(- 4 + m)
Step-by-step explanation:
Given
72 - 30m + 3m² ← factor out 3 from each term
= 3(24 - 10m + m²)
To factor the quadratic
Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 6 and - 4, since
- 6 × - 4 = 24 and - 6 - 4 = - 10, hence
24 - 10m + m² = (- 6 + m)(- 4 + m) and
72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form
Since A is on the y-axis, 6 is the y-intercept.
m = Δy ÷ Δx
m = (0 + 6) ÷ (6 + 12)
m = 6 ÷ 18
m =
y =
x + 6
Answer:
lol lol
Step-by-step explanation:
lol
lol
Answer:
$2.50
Step-by-step explanation:
Let's set up a proportion using the following setup.
price / pens = price / pens
We know that it costs $4.00 for 8 pens.
$4.00 / 8 pens = price / pens
We don't know how much it costs for 5 pens. Therefore, we can say it costs $x for 5 pens.
$4.00 / 8 pens = $x / 5 pens
4/8=x/5
We want to solve for x (the cost for 5 pens). Therefore, we must get x by itself on one side of the equation. x is being divided by 5. The inverse of division is multiplication, so multiply both sides of the equation by 5.
5*(4/8)=(x/5)*5
5*(4/8)=x
5*0.5=x
2.5=x
x= $2.50
Ivan should pay $2.50 for 5 pens.
Answer:
4/5, or 0.8.
Step-by-step explanation:
Since sin is equal to opposite over hypotenuse, and the opposite of side A is BC which equals 4 and the hypotenuse is 5, we then get BC/AB, which is thus, 4/5.
