Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
I used to hate fractions. But in time, you learn to love them. This is because there's a big difference between fractions and decimals, even though when you divide the actual fraction it comes out to a decimal. Decimals go on and on sometimes, and it would be impossible to write out all those numbers, especially when taking a timed test, for example. Fractions, in this case, would be much more useful (as long as you know how to use them to your advantage). Fractions are basically all those decimal numbers wrapped up into a single, simple division. It makes the outcome of your answer much more accurate than if you estimate every decimal you get throughout a math problem. The more you estimate throughout the problem-solving process, the less accurate your final answer will be. Hence why teachers will usually tell you to estimate when you're putting down the final answer. Fractions are complex at times, so it may be easier to use them in decimal form for certain situations (especially if the decimal form is short and sweet). A world without fractions will result in many, many inaccurate situations involving mathematical knowledge.
The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.
Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.
So for the butter, this would be:
5/8 * 3 = 15/8
Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.
15/8 = 1 7/8
1 7/8 > 1 1/4
Thus, Angie DOES NOT have enough butter to triple the recipe.
Answer:
Dr Carter
Step-by-step explanation:
I would want to visit Dr. Carter for an orthodontis appointment for multiple reasons. One, he can prove that he doesn’t do his work sloppily as his office is clean, and two, he can prove that his treatments work. since his teeth are now perfectly straight, that shows that his Braces really work, whereas Dr. Shuman’s treatments either don’t work or take a lot longer for results to appear.
7:14:21
Add 1,2,3 = 6
Divide 6 by 42=7
Then 7x1=7
7x2=14
7x3=21