Answer: 
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>
Answer:
$15, $20
Step-by-step explanation:
Let u represent the unit price of umbrellas and h the unit price of hats.
Case 1: A. spent $80.
Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or
u = $15/umbrella.
Case 2: A spent $100.
Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or
u = $20/umbrella.
The least A. could have spent on a single umbrella was $15, and the most was $20.
I know its a scale factor of .5, i just don't know if its the rotation or reflection answer.
The ratio of people that can be served to milligrams of baking soda needed is:
Serving : Baking Soda
2 : 1600mg
Since you want 10 people, you can multiply this ratio by 5:5 to get
10 people served = 8000mg needed
8000mg = 8 grams
Answer with explanation:
Pyramid and Plane both are three dimensional shapes.
Pyramid is a three dimensional shape having base any polygon and other faces as triangles.
The base of pyramid is horizontal.
1. If lower base is a Square,or rectangle or any other parallelogram
And, then , plane cuts the pyramid vertically
It will be also, a three dimensional shape ,resembling a triangular cross section in three dimension.
Triangle is appropriate choice.
