Solve for x.(x-1)(5x-4)=0

2 answers:

7 0

Since the equation is already factored set each factor equal to zero and solve.
x - 1 = 0
Add 1 to both sides
x = 1

5x - 4 = 0
Add 4 to both sides
5x = 4
Divide both sides by 5
x = 4/5

Gre4nikov [31]3 years ago

5 0

(x - 1) (5x - 4) = 0

x - 1 = 0
+ 1 + 1
-----------
x = 1

5x - 4 = 0
+ 4 + 4
-------------
5x(/5) = 4(/5)

x = 4/5

So: x = 4/5 or 1. There are two possible answers to this equation.

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A baseball stadium sells game tickets for $8 each and has a capacity of 200 people. The function M(x) = 8x represents the amount

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The domain of the function is whole numbers less than or equal to 200

The given parameters;

cost of the game tickets = $8 per spectator

maximum capacity of the stadium = 200

The function for the amount of money the baseball stadium makes from ticket sales is given as;

M(x) = 8x

where;

x is the number of spectators

Since the maximum capacity of the stadium is 200, the number of spectators should be less or equal to 200.

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The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

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Answer:

zeros: t = 1, t = -1/2
no: the domain of the function is t ≥ 0
8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

1 -t = 0 ⇒ t = 1

8 +16t = 0 ⇒ t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

When t = 0 (at the time the ball is thrown), the function value is ...

h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.