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skad [1K]
4 years ago
13

Rachel draws a trend line through the following data points. Did she draw the line correctly?

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
4 0

Answer:

i think its A but im not sure its correct

Step-by-step explanation:

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Need help
Mice21 [21]

Answer:

B. is greater than

Step-by-step explanation:

As the graph of function f(x) is a parabola, so that the equation of function f(x) is: f(x) = ax^{2} +bx+c

As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)

=> f(0) = 8; f(-2) = 0; f(4) = 0

We have:

  • f(x=0) = a x 0 + b x 0 + c = 8  => c = 8
  • f (x=-2) = a(-2)^{2} -2b+c = 4a -2b + 8 = 0
  • f (x=4) = a(4)^{2} +4b +c = 16a + 4b + 8 = 0

We have:

+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)

+) 16a + 4b + 8 = 0 (2)

We take (2) minus (1)

=> (16a + 4b + 8) - (8a - 4b + 16) = 0

=> 8a - 8 = 0 => a = 1

Replace a = 1 into (1)

=> 8 x 1 - 4b + 16 = 0 => b = 6

So that:  f(x) = x^{2} + 6x +8

f (2) = 2^2 + 6 x 2 + 8 = 24

g (2) = 3 -2 + 2 = 3

<em>=> f(2) is greater than g(2)</em>

5 0
3 years ago
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the e
Bond [772]

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

Find out more at: brainly.com/question/21835898

4 0
3 years ago
Which change will double the lateral surface area of a regular triangular pyramid with base length b , height h , and slant heig
Veronika [31]
A regular triangular pyramid is a solid figure with r surfaces

- 3 lateral surfaces and one base surface

- the four surfaces are congruent triangles, which is to say that all triangular surfaces have the same base and the same slant heght

- the area of each surface is [1/2] base * slant height.

Then, a change that double the area is any that keep one of the dimensiones and double the other.

So the answer is:  double each side, b, of the base triangle while keeping the slant height, l, tha same.


You can also double the slant height, l, while keeping the base triangle, but then the height,h, of the pyramid will increase, by a factor which is not 2.
3 0
3 years ago
0.585 what number is in the hundredth place?
Masteriza [31]
8 is in the hundredths place. It goes like this: tenths, hundredths, thousandths, and so forth.
7 0
3 years ago
(6,-13);y=2/9x- 5 write it in slope-intercept form
Amiraneli [1.4K]

Answer:

y=2/9x-14.33

Step-by-step explanation:

y=2/9x- 5

then y=2/9x+b

enter points (6,-13)

-13=12/9+b

-13-12/9=b

-14.33=b

y=2/9x-14.33

8 0
3 years ago
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