Please help!!!!!!!!!!!

Mathematics

1 answer:

Assoli18 [71]2 years ago

3 0

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

⇒ and solve for 'x'

Let's solve:

$x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0$

Let's find the x-values:

$(x-4)=0\\x=4\\\\(x+4)=0\\x=-4$

Let's find f(x)'s value for each 'x':

$x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27$

Answer: (4, 11), (-4,27)

Hope that helps!

#LearnwithBrainly

You might be interested in

The conversion from Fahrenheit to Celsius is C = (5/9)(F - 32). Convert 212° Fahrenheit to Celsius.

Aliun [14]

The answer is 100 degrees Celsius.

3 0

3 years ago

A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.

labwork [276]

Answer:

a) see the plots below

b) f(x) is exponential; g(x) is linear (see below for explanation)

c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.