The following inequality shown is 2) because the y-intercept is at 1/2 and the slope is negative. The graph is also shaded underneath so must include the values underneath the function
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer:
X=3 Y=-7
Step-by-step explanation:
You can solve a system of equations a number of ways. Substitution makes the most sense in this case. Take the top equation and set it equal to y making it: y=17-8x
Then substitute y in the bottom equation for the y solved in the top. So,
5x + 5(17-8x) = -20
Then solve for x
x=3
Now that we know x, plug it back into the equation for y
y = 17 - 8(3)
y = -7
So your solution is (3, -7)
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is feet
-8 ft
elevation of the point farthest from sea level is feet.
-47 ft
closet to sea level to farthest to sea level
-8ft , -18ft , -24ft , -47ft
