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lozanna [386]
3 years ago
9

What is the line of symmetry for the parabola whose equation is y = x2 - 12x + 7?

Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

Please write this as  y = x^2 - 12x + 7 to indicate the exponentiation.

The coefficients of these three terms are a, b and c:  1, -12 and 7.

The equation of the axis (line) of symmetry is

        -b           -(-12)

x = ---------  =  -----------  = 6

         2a           2(1)

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he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu
Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean  (\nu) = 5700

standard deviation (\sigma ) = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

P(X > 4000)  = P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})

                      =  P(Z > - 1.13)     Using  (Z = \frac{X - \nu }{\sigma })

                      =  1 - P(Z

                      = 1 - .1292

                      = .8708

                       = 87.08%

7 0
3 years ago
Please help me out with this!!
galina1969 [7]

Answer:

see explanation

Step-by-step explanation:

Given

x + \frac{1}{2} ≤ - 3 or x - 3 > - 2

Solve the left and right inequalities separately, that is

x + \frac{1}{2} ≤ - 3 ( isolate x by subtracting \frac{1}{2} from both sides )

x ≤ - 3 - \frac{1}{2}, that is

x ≤ - \frac{6}{2} - \frac{1}{2}, thus

x ≤ - \frac{7}{2}

OR

x - 3 > - 2 ( isolate x by adding 3 to both sides )

x > 1

Solution is

x ≤ - \frac{7}{2} or x > 1

7 0
3 years ago
ASAP!!! Pls help me out :(
mr_godi [17]

The answer you are looking for is B. 70.69

3 0
3 years ago
Read 2 more answers
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight
jasenka [17]

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

m=\frac{38-34}{3-1}=2

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

m=\frac{31-27}{3-1}=2

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

m=\frac{33-27}{3-1}=3

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

7 0
3 years ago
Read 2 more answers
1. Professor Cramer determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these
ELEN [110]

Answer:

Ur final grade will go down if you are looking for answers buddy! :)

Step-by-step explanation:

5 0
2 years ago
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