Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:

Now let us simplify it:

Let us find the vertex now,
For a quadratic equation of the form:

For x coordinate , we have the formula,

So using this formula for our equation,

So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Answer:
16/20
Step-by-step explanation:
Answer:
16/13
Step-by-step explanation:
the error is when it was divided, one of the fractions should be reversed to be multiplied
<u> </u><u>4</u><u> </u><u> </u> ÷ <u> </u><u>1</u><u>3</u><u> </u>
7. 28
<u> </u><u>4</u><u> </u> × <u>2</u><u>8</u><u> </u> ,like this
7. 13
= <u> </u><u>1</u><u>1</u><u>2</u><u> </u> ,divide both by 7
91
= <u> </u><u>1</u><u>6</u><u> </u>
13
Hey You!
1.5 ft = 18 inches
There is no difference between the distance the two animals traveled.
Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour