5. Solve this system of equations. 3x + 4y = 36 y = -x +8. please help meee3333............
1 answer:
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Answer:
Second option: (-2,-3) and (1,0)
Step-by-step explanation:
Given the system of equations , you can rewrite them in this form:
Simplify:
Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:
Substitute each value of "x" into any of the original equation to find the values of "y":
Then, the solutions are:
(-2,-3) and (1,0)
9514 1404 393
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.
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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.
