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Vika [28.1K]
3 years ago
11

Find the vertex of the function given below. y = 3x2 + 6x +1

Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer: The coordinates of the vertex are : (-1,-2)

Step-by-step explanation: To find the x coordinate, we use the formula:

Xv = -b/2a = -6/(2.3) = -6/6 = -1

Replacing x by -1, we write:

y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2

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Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Tanzania [10]

Answer:

a_{n} = - 3a_{n-1}

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

a_{n} = ra_{n-1} = - 3a_{n-1}

5 0
3 years ago
Use the distributive property to solve the equation 28 - (3x + 4) = 2(x + 6) + 5
Shalnov [3]
1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2
7 0
3 years ago
How do I solve -(x+7)-5=4(x+3)-6x
sasho [114]

Answer:

x = 24

Step-by-step explanation:

I checked and made sure the answer was correct.

Hope this helps!

Please Mark Brainliest!

4 0
3 years ago
50 POINTS!!! jamie will choose between two catering companies for an upcoming party. company A chargers a set-up fee of $500 plu
Shtirlitz [24]

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

5 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the given line and has an x-intercept of –3?
balandron [24]
The slope would be the same as that of the given line, and when plugging in (-3,0) into the new equation, you’ll find the y-intercept. If you could give the original given line equation I’d be happy to show you!
6 0
3 years ago
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