Solve for q. 3(q − 7) = 27 q =

Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

Answer:

The answer is, q = 16.

Step-by-step explanation:

1) Divide both sides by 3.

$q - 7 = \frac{27}{3}$

2) Simplify 27/3 to 9.

$q - 7 = 9$

3) Add 7 to both sides.

$q = 9 + 7$

4) Simplify 9 + 7 to 16.

$q = 16$

Therefor, the answer is q = 16.

Rom4ik [11]3 years ago

7 0

Answer:

q=16

Step-by-step explanation:

To solve this problem, you'll want to start by distributing the 3 to both q and -7, which will give you 3q-21=27. Then, you should add 21 to both sides, which will get the variable alone on one side of the equation. After that step, your equation should be 3q=48. Lastly, divide both sides by 3, which will give you the answer q=16!

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Answer:

a) The vertex of the graph is $(h,k) = (0, 31)$ , b) $a = -16$ , c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is $(h,k) = (0, 31)$ .

b) If we know that $(h,k) = (0, 31)$ , $f(t) = a\cdot (t-h)^{2} + k$ and $(t,f(t)) = (1,15)$ , then the value of $a$ is: