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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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ABCD is a rectangle with diagonals segment AC and segment BD. If AC = 2х + 10 and BD -=56, find the value of х." О23О33О 78 O 12
Aleks04 [339]

Answer:

Step-by-step explanation:

The diagonals of a rectangle are equal.

2x + 10 = 56         That minus sign can't be there. Subtract 10 from both sides.

2x  = 56 - 10         Combine

2x = 46                 Divide by 2

x = 46/2

x = 23

7 0
3 years ago
All real numbers between -5 and 7
Ksivusya [100]

Answer:

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

I GUESS HOPE THAT HELPS.

4 0
3 years ago
Which expressions are equivalent to 7b(3+c) ?
aliya0001 [1]
C because it's using the distributive property. It's breaking it down into sections.
8 0
3 years ago
Erin has a checking account. Her opening balance on 2/5 was $100. The bank charges a 25¢ fee for each debit card transaction and
tia_tia [17]
The answer is 56.45 good luck!
6 0
3 years ago
According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

8 0
3 years ago
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