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Rus_ich [418]
3 years ago
7

The graph of a quadratic function passing through the point (1,-4) has its turning point at (-2,5). Write down the equation of t

he line of symmetry of the graph.​
Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

x = - 2

Step-by-step explanation:

the line of symmetry passes through the turning point and is a vertical line with equation

x = c ( where c is the x- coordinate of the turning point )

the turning point is (- 2, 5 ) with x- coordinate - 2 , then

equation of the line of symmetry is x = - 2

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Step-by-step explanation:

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7 0
3 years ago
If g(x) = 2(x − 4), find the value of x if g(x) = 20. 32 12
nlexa [21]

Answer:

The value of x is 14

Step-by-step explanation:

we have

g(x)=2(x-4) ------> equation A

In this problem we have

g(x)=20

Substitute the value of g(x) in the equation A and solve for x

20=2(x-4)

Divide by 2 both sides

20/2=2(x-4)/2

10=(x-4)

Adds 4 both sides

10+4=(x-4)+4

x=14

6 0
3 years ago
Read 2 more answers
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf
4 0
3 years ago
Read 2 more answers
Write 83 as a sum of tens and ones
Hoochie [10]
Well,

We can see that there are 8 10's and 3 1's.  So we can write 8 10's followed by 3 1's and join them with addition symbols.

83 = 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 1 + 1 + 1
6 0
3 years ago
Read 2 more answers
Gas mileage actually varies slightly with the driving speed of a car​ (as well as with highway vs. city​ driving). Suppose your
natima [27]

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per​ hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500​-mile trip if you drive at an average speed of 54 miles per​ hour

= \frac{Distance}{Speed}  =  \frac{2500 }{45} \\\\= 55.56 hours.

The driving time for a 2500​-mile trip if you drive at an average speed of 65 miles per​ hour

= \frac{Distance}{Speed}  =  \frac{2500 }{65} \\\\= 38.46 hours.

7 0
3 years ago
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