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Wewaii [24]
3 years ago
8

Helpppp Plsssss Asap!! Show your work!! Thank you!! ​

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0
<h2>Hello!</h2>

The answer is: B) (x-4)^{2}+1

<h2>Why?</h2>

Since from the graph we can only see the position of the vertex (4,1), let's find the vertex of the chosen option (B).

g(x)=(x-4)^{2}+1=x^{2}-8x+16+1=x^{2}-8x+17

Where:

a=1\\b=-8\\c=17

Finding the vertex:

x=\frac{-b}{2a}=\frac{-(-8)}{2*1}=\frac{8}{2}=4

So, x-coordinate of the vertex is 4,

Susbtituting x into the function, we can find the y-coordinate

g(4)=y=4^{2}-8(4)+17=1

So, y-coordinate of the vertex is 1

Hence,

The Vertex is located at (4,1)

If the vertex is located at (4,1), then the chosen option is correct.

Have a nice day!

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3 years ago
Please help me with my math
Natasha_Volkova [10]

Answer:

The answer is C

Step-by-step explanation:

the y-intercept is going through 0 therefore there would be no "b" in the y=mx+b formula

3 0
3 years ago
Which of these describes the unit rate?
AlexFokin [52]

Answer:

Which of these describes the unit rate? answer choices. a unit of measure. a fraction with a numerator of one. a fraction with a denominator of one. a proportion.

Step-by-step explanation:

Hope this helps you!

Ask me anything if you have any quistions!

5 0
3 years ago
The highway mileages of 147 cars are in a file named CARS2.† These cars are 2003 models. Find the mean, standard deviation, and
grigory [225]

In statistics, mean is the average in a set of data collected. To calculate the mean, you have to add up all the numbers in the table and divide it by the number of data that exists. For example, if the data set is 2 4 1 5 2 8, the mean will be:

mean = \frac{(2+4+1+5+2+8)}{6}= 3.6

So, for this data set, the mean is 3.6.

The median is also a average number, however, the median is the middle value in the list. For example, with the data set above, the median is 3, because, as the set has an even number of data, the middle term would be the mean of the two middle number, in other words:

median = \frac{1+5}{2} = 3

The standard deviation (σ) is the spread of data distribution, which means it's how "far" a number is from the mean of the set. The formula is

σ = √∑ (x - μ)²/N, where ∑ is the total sum; μ is the mean; and N is the number of data points in the sample. So, to calculate the standard deviation, using the example:

1) Calculate the mean of the set: μ=3.6

2) Find the difference between each data point and the mean and then, the square of each one:

(2-3.6)² = 2.56;

(4-3.6)² = 0.16

(1-3.6)² = 6.76

(5-3.6)² = 1.96

(2-3.6)² = 2.56

(8-3.6)² = 19.36

3) Add up all the squares: ∑= 33.36

4) Divide by the number of data points: \frac{33.36}{6}=5.56

5) Take the square root: σ = 2.36

For the set of numbers above (2,4,1,5,2,8), the standard deviation is

σ = 2.36.

6 0
3 years ago
I need help ASAP. I'm not good with math.
bonufazy [111]

Given:

The increase in pressure P is the linear function of the depth d.

P(d)=0.445d+14.7

The cost of dinner is $300 and $10 per students.

To find:

The initial value and rate of change and their interpretation.

Find the cost function C where n is the number of students.

Solution:

The slope intercept form of a linear function is

f(x)=mx+b          ...(i)

where, m is rate of change and b is y-intercept or initial value.

We have,

P(d)=0.445d+14.7        ...(ii)

From (i) and (ii), we get

m=0.445,b=14.7

The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.

Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.

The cost of dinner is $300 and $10 per students.

Let C(n) be the total cost for dinner and n be the number of students.

Fixed cost = $300

Additional cost for 1 student = $10

Additional cost for n student = $10n

Now,

Total cost = Fixed cost + Additional cost

C(n)=300+10n

Therefore, the required cost function is C(n)=300+10n.

8 0
2 years ago
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