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3 years ago

What is the vertex for the following quadratic? f(x)= 2x^2-12x+16

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16 [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)

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Someone smart help me please

mafiozo [28]

Pretty sure it is
shift 1 left
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7 0

3 years ago

Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as the pair of shorts. He spent a tot

cestrela7 [59]

6 pairs of shorts, for a
"s" dollars. A blazer costs 3 times as much, she bought one. The total was 139.50

6s + 3(6s) = 139.50
6s + 18s = 139.50
25s = 139.50 Divide everything by 25,
s = 5.58, which is how much the shorts were. Now for the blazers ;

It said they were three times the cost of shorts, if shorts are 5.58, it is 3*5.58.
3s
3(5.58)
16.74

The blazer cost 16.74

8 0

3 years ago

On Monday your bank account balance was -$12.58. Because you didn't realize this you wrote a $30.72 check. A. What is the new ba

zlopas [31]

Explanation

On Monday, the bank account balance was -$12.58

A. As you wrote a $30.72 check, so the new balance in your checking account will be: $(-12.58+30.72)dollar =18.14$ dollar

B. The bank charges a $25 fee for paying a check on a negative balance. So, the balance in your checking account after this fee $=(18.14-25)dollar= -6.86$ dollar

C. For bringing your account balance back up to $0 after the fee, the money need to deposit $=[0-(-6.86)]dollar =6.86$ dollar.

8 0

3 years ago

a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample s

Alex

Answer:

95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

Step-by-step explanation:

We are given that a consumer magazine counts the number of tissues per box in a random sample of 15 boxes of No- Rasp facial tissues. The sample standard deviation of the number of tissues per box is 97.

Firstly, the pivotal quantity for 95% confidence interval for the population variance is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, $s^{2}$ = sample variance = $97^{2}$ = 9409

n = sample of boxes = 15

$\sigma^{2}$ = population variance

Here for constructing 95% confidence interval we have used chi-square test statistics.

So, 95% confidence interval for the population variance, $\sigma^{2}$ is ;

P(5.629 < $\chi^{2}__1_4$ < 26.12) = 0.95 {As the critical value of chi-square at 14

degree of freedom are 5.629 & 26.12}

P(5.629 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 26.12) = 0.95

P( $\frac{5.629 }{(n-1)s^{2} }$ < $\frac{1}{\sigma^{2} }$ < $\frac{26.12 }{(n-1)s^{2} }$ ) = 0.95

P( $\frac{(n-1)s^{2} }{26.12 }$ < $\sigma^{2}$ < $\frac{(n-1)s^{2} }{5.629 }$ ) = 0.95

95% confidence interval for $\sigma^{2}$ = [ $\frac{(n-1)s^{2} }{26.12 }$ , $\frac{(n-1)s^{2} }{5.629 }$ ]

= [ $\frac{14 \times 9409 }{26.12 }$ , $\frac{14 \times 9409 }{5.629 }$ ]

= [5043.11 , 23401.31]

Therefore, 95% confidence interval for the population variance of the number of tissues per box is [5043.11 , 23401.31].

6 0

3 years ago

I need some help on number 5

charle [14.2K]

That would be 11:250

Hope this helps! (:

5 0

3 years ago

Read 2 more answers