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Triss [41]
3 years ago
13

Find the vertex of y=-x^2+6x-12

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0
You find the x coordinates using x = -b/2a  = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)
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A cube has a volume of 343 cubic cm. What is the area of the base
Amanda [17]

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ← s is the length of the side, thus

s³ = 343 ( take the cube root of both sides )

s = \sqrt[3]{343} = 7, thus

area of base = s² = 7² = 49 cm²

6 0
3 years ago
Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?
SOVA2 [1]

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3

6 0
2 years ago
An amphitheater charges $74 for each seat in Section A, $59 for each seat in Section B, and $28 for each lawn seat. There are th
Ivenika [448]

Answer:

<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>

Step-by-step explanation:

let x be the number of seats in A,

y be the number of seats in B, and

z be the number of lawn seats.

y=3x

the total number of seats is given by

(x+y+z)=13000

put y=3x

(x+3x+z)=13000

(4x+z)=13000------1

also

(4x+z)13000=503000----2

hence the systems of equation is

(4x+z)=13000------1

(4x+z)13000=503000----2

7 0
3 years ago
Mom and Dad have four daughters, and each daughter has one brother. How many people are in the family?
klemol [59]
I would would say 7.

Mom + Dad + daughter + daughter + daughter + daughter + plus one brother = 7

Since they are all sisters and it says each one has one brother I think that would mean 7. That's just my comprehension of the question, though I may 100% wrong.
7 0
3 years ago
Read 2 more answers
Which expresstion is equivalent to 22 - 3
AURORKA [14]

Answer:

48-29

Step-by-step explanation:

22-3=19, so put on that makes 19.

5 0
2 years ago
Read 2 more answers
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