3(x-1)^2 +2
This is your answer in vertex form, your h and k values are the vertex. Solving the function by using b/2a, we get that h is 1. ( in the equation 3 is your a, 6 is b and 5 is c.). ( 6/2(3)) = 1. We can then plug in 1 as x into the original equation and get positive 2 ( 3(1)^2 -6(1) +5) = 3-6+5 = 2. This is your vertex. In the function, your a value will always stay the same as this is your shrink or stretch. In this case, a is 3 so it will go outside the parenthesis. Put that all together and you get the function above.
Hope this helps :)
Answer:
1 simply 1
Step-by-step explanation:
1*1*1=1
The answer is 142°
Explanation:
angle 1 and angle 2 form are supplementary.
m∠1 + m∠2 = 180°
38° + m∠2 = 180°
m∠2 = 180° - 38°
m∠2 = 142°
Hope it helps!
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
Answer: C) Today's soup will taste the same
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Explanation:
The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.
Divide both parts of the ratio by 12 to end up with 0.75:1
The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.
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Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8
The ratio 6:8 is the same as 0.75:1
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We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.
Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.