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Margaret [11]
3 years ago
7

Find the vertex of the parabola.

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
5 0

Answer:

Correct answer is B. (-2,4)

Step-by-step explanation:

Given: y = 2x^2 + 8x + 12

if x = 2,

Use substitution: y = 2(-2)^2 + 8(-2) + 12

                                y = 8 - 16 + 12

                                   y = -8 + 12

                                       y = 4

So, (-2, 4) would be your answer.

I hope this helps!!!

Elan Coil [88]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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svp [43]

Answer:1

Step-by-step explanation:

4 0
3 years ago
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If your purchases of shoes increase from 9 pairs per year to 11 pairs per year when your income increases from $19,000 to $21,00
Leni [432]

Answer: commom resources good

Step-by-step explanation:

The question above signifies that I can't eliminate shoes from my list. To me, shoes are inexcludable. You can see that as my income increases, my purchases of shoes increase.

I chose common resources good because they are non-excludable (something difficult to eliminate), but can compete with other goods. This means that their availability to other people decreases when they are being used up.

Other types of goods besides common resources good are

- Private goods (products that are easily eliminated and rival)

-Club goods (excludable products but non rival)

-Public goods (unable to eliminate and non-rival)

8 0
3 years ago
What is the solution of this equation -6+5x=6x-7
fomenos

Answer:

x = 1

Step-by-step explanation:

Our goal is to isolate x on one side. So:

-6 +5x = 6x - 7

-6 = x - 7

1 = x

Hope that helped!

5 0
3 years ago
If the length of the side of a square is 6 cm,then the area will be equal to ________
Feliz [49]

Answer:

36 centimeters squared.

Step-by-step explanation:

Use the formula for the area of a square.

A=s^2

A=(6)^2

A=6 \times 6=36

3 0
3 years ago
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Given $m\geq 2$, denote by $b^{-1}$ the inverse of $b\pmod{m}$. That is, $b^{-1}$ is the residue for which $bb^{-1}\equiv 1\pmod
goblinko [34]

(2+3)^{-1}\equiv5^{-1}\pmod7 is the number <em>L</em> such that

5L\equiv1\pmod7

Consider the first 7 multiples of 5:

5, 10, 15, 20, 25, 30, 35

Taken mod 7, these are equivalent to

5, 3, 1, 6, 4, 2, 0

This tells us that 3 is the inverse of 5 mod 7, so <em>L</em> = 3.

Similarly, compute the inverses modulo 7 of 2 and 3:

2a\equiv1\pmod7\implies a\equiv4\pmod7

since 2*4 = 8, whose residue is 1 mod 7;

3b\equiv1\pmod7\implies b\equiv5\pmod7

which we got for free by finding the inverse of 5 earlier. So

2^{-1}+3^{-1}\equiv4+5\equiv9\equiv2\pmod7

and so <em>R</em> = 2.

Then <em>L</em> - <em>R</em> = 1.

6 0
3 years ago
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