Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
Answer:
6(3) - 4 + (3)^2
Explanation:
We will do this on two steps:
1- get g(x)-f(x)
2- substitute with x = 3
Step 1:
f(x) = 4-x^2
g(x) 6x
g(x) - f(x) = 6x - (4 - x^2)
= 6x - 4 + x^2
Step 2:
Substitute with x = 3 as follows:
g(x) - f(x) at x = 3 is:
6(3) - 4 + (3)^2
Hope this helps :)
Is it 100 because it just is done ya and 1000
So I believe that the position the triangle is sitting in is the original position that the question started with correct? (Wasn't sure if you moved it before the screenshot or not)
So for all three points of the triangle, move each of them 6 units to the left since the rule has (x-6). If it was x+6, it should be 6 units to the right then.
After you move it 6 units to the left, move the points (all three) 4 units down since (y-4) means moving in the y-direction downward!
That should be the new place for the triangle to be positioned.
Hope this helps!
Answer:
4 full buckets
Step-by-step explanation:
there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.
Hope it helped!
