Answer:
false statement
Step-by-step explanation:
5+x^2=2x^2+13
5+x^2-2x-13=0
-8+x^2-2x^2=0
-8-x^2=0
-x^2=8
x^2=-8
this statement is false for any value of x because the power function with an even exponent is always postive or 0
Answer:
p = 0, p = 12
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 then the nature of its roots is given by the discriminant
Δ = b² - 4ac
For equal roots b² - 4ac = 0
Given
x² -(p - 2)x + 2p + 1 = 0 ← in standard form
with a = 1, b = - (p - 2), c = 2p + 1, then
[- (p - 2)]² - (4 × 1 × 2p + 1) = 0
(p - 2)² - 4(2p + 1) = 0
p² - 4p + 4 - 8p - 4 = 0
p² - 12p = 0 ← factor out p from each term
p(p - 12) = 0
Equate each factor to zero and solve for x
p = 0
p - 12 = 0 ⇒ p = 12
Answer:
175pi units^3
Step-by-step explanation:
A P E X- just did it
Answer: Rose used 2.075 pints of blue paint for her bedroom walls
Step-by-step explanation:
Amount of white and blue paint used for bedroom walls=8.3 pints
Amount of white paint used =3/4 x8.3 pints =6.225 pints
Amount of blue paint used = Amount of white and blue paint used for bedroom walls-Amount of white paint used
8.3 pints - 6.225 pints=2.075 pints