Answer: 49
Step-by-step explanation:
a=1 ,b=14, c=?
b^2-4ac =0
(14)^2-4(1)(c)=0
196-4c=0
196=4c
c=49
Check:
(x)^2+2(x)(7)+(7)^2
x^2+14x+49
(x+7)^2
Answer:
1 and 2) After multiplying (x+y+3)(y+1) we have
Which is an equivalent expression after applying the distributive property.
As we can see we have an one of the variables squared, so we obtain an Parabolic Cillinder
Answer:
A spinner is divided into three equally sized sections. The spinner is spun three times.
-
independent, since the outcome is not affected by previous spins.
A number cube is rolled twice.
-
independent, since the outcome is not affected by previous rollings.
A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.
- not independent, since the new outcome depends on the balls that were drawn before.
Step-by-step explanation:
The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.
Answer:
Exponential Function; base = 7; initial value = - 9.3
Step-by-step explanation:
Base is a number/value which has a variable exponent;
Initial value is the value of a function (i.e. y) when the independent variable, i.e. x, is equal to 0.
Answer:
10 seconds
Step-by-step explanation:
Find the zeros by equating f(x) to zero, that is
- 5x² + 50x = 0 ← factor out - 5x from each term
- 5x(x - 10) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
x = 0 denotes the time when the ball is struck and x = 10 when the ball returns to the ground.
Time in air = 10 - 0 = 10 seconds
