Answer:
g(-12) = -2
Step-by-step explanation:
g(x) = x + 10
Let x = -12
g(-12) = -12+10
g(-12) = -2
According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>
Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.
According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
To learn more on quadratic equations: brainly.com/question/17177510
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Answer:
6. (2,1) 7. (2,2)
Step-by-step explanation:
Number 6, Since it is a dilation of .5 you divide the x and y coordinate by 2 to get (2,1). X - 4/2=2, Y - 2/2=1
Number 7, Since it's rotating 90 degrees counterclockwise you switch the x and y coordinates. So from (x,y) to (y,x) and also when going counterclockwise you have to make the y coordinate becomes negative, so the counterclockwise equation is (-y,x) plug in your numbers and you get (2,2) as your 90 degree counterclockwise rotated coordinates.
Answer:
Step-by-step explanation:
To determine the time when the height is 40 meters above the ground, we would substitute 40 for h in the given equation. It becomes
1.2 + 4t0t - 5t² = 40
5t² - 40t + 40 - 1.2 = 0
5t² - 40t + 38.8 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 5
b = - 40
c = 38.8
Therefore,
t = [- - 40 ± √(- 40² - 4 × 5 × 38.8)]/2 × 5
t = [40 ± √(1600 - 776)]/10
t = [40 ± √824]/10
t = (40 + 28.71)/10 or x = (40 - 28.71)/10
t = 6.871 seconds or t = 1.129 seconds
Answer:
The answer is 238 :)
Step-by-step explanation:
