Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far:

. Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides.

. The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process.

. Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.
An art gallery is a 6-story square pyramid with base area of half an acre. Estimate the volume in cubic yards of the art gallery. In your calculations, use 1 acre = 4840 yd2 and 1 story = 10 ft.
Answer:
A) x=2, 8
Step-by-step explanation:
abs(x-5)=3
x-5=3, x-5=-3
x=3+5=8,
x=-3+5=2
Answer:
9
Step-by-step explanation:
divied by 3
27 divided by 3 is 9
plz mark brainliest
Answer:
<h2>x < 2</h2>
Step-by-step explanation:
Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.
Step 1: Divide by 5
x < 2
Step 2: Check
5(1) < 10
5 < 10✔️
Step 3: Check Again
Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.
5(-6) < 10
-30 < 10✔️
Step 4: Verified Answer
x < 2
I'm always happy to help :)