Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball

we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,


notice that, our given function is not in standard form i.e

let's make it so

therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:

remove parentheses and change its sign:

simplify multiplication:

simplify division:

so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function

simplify square:

simplify mutilation:

simplify substraction:

hence,
the maximum height of the baseball is 44.1 metres
The center-radius form<span> of the </span>circle<span> equation is in the format (x – h)</span>2<span> + (y – k)</span>2<span> = r</span>2<span>, with the center being at the point (h, k) and the radius being "r". Therefore, the center is located at point (1, -3) and is located in the fourth quadrant, last option. Hope this answers the question.</span>
Answer:
$95.89875
Step-by-step explanation:
The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.
So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.
The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.
If we round this to the nearest cent, it should be <em>$95.9</em>.
Is it not zero ???? ? ? ?
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold