Show your solution follow the steps need an answer, please need an answer, please.
2 answers:
Answer:
Step-by-step explanation:
21) x² - 4x - 5 > 0
x² - x + 5x - 5 > 0
x(x - 1) + 5(x - 1) > 0
(x - 1) (x + 5) > 0
x - 1 >0 or x + 5 > 0
x > 1 or x > - 5 Ans: D
22) 4p² ≤ 1
p² ≤ 1/4
p ≤ 1/2 or p ≥ -1/2
-1/2 ≥ p ≤ 1/2
23)y < 3x² + 3x - 6
(1 , -7)
x = 1 and y = -7
-7 < 3*1 + 3*1 - 6
-7 < 3 + 3 - 6
-7 < 0
(1 , -7) satisfies the equation.
Option b
24) 5x² - 7x = 0
a = 5 ; b = -7 ;c = 0
Discriminant = b² - 4ac = 49 - 0 = 0
x = 0 ; x = 7/5 Option a)
25) m² - 11 m + 18 = 0
m² - 2m - 9m + (-9)*(-2) = 0
m(m - 2) - 9(m - 2) = 0
(m - 2)(m - 9) = 0
m = 2 , 9
x = 2 and y =9
x² + y² = 2² + 9² = 4 + 81 = 85 Option a)
26) x² - 2x - 1 = 0
Add the constant 1 to both sides
x² - 2x = 1
Divide the coefficient of x by 2. 2/2 = 1. Now add this 1 to both sides of the equation.
x² - 2x + 1 = 1+1
x² - 2x + 1 = 2
(x - 1)² = 2
Take square root
x - 1 = ±√2
x = 1 ± √2 Option a)
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Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = = 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then
when x= -1 then
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)