Answer:
x = 4
Step-by-step explanation:
Solve for x:
x - 12 + 18 = 10
Hint: | Group like terms in x - 12 + 18.
Grouping like terms, x - 12 + 18 = x + (18 - 12):
x + (18 - 12) = 10
Hint: | Evaluate 18 - 12.
18 - 12 = 6:
x + 6 = 10
Hint: | Isolate terms with x to the left hand side.
Subtract 6 from both sides:
x + (6 - 6) = 10 - 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
x = 10 - 6
Hint: | Evaluate 10 - 6.
10 - 6 = 4:
Answer: x = 4
Answer:
5 cubes , so 5 cubic units
Step-by-step explanation:
There are 5 cubes in this figure.
Since each cube is a cubic unit, the answer is 5 cubic units.
-Chetan K
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time

Where
is the initial velocity and
is the initial height.
We know that

Then the equation of the height is:

For a quadratic function of the form 
where
the maximum height of the function is at its vertex.
The vertice is

In this case

Then the vertice is:

Now we calculate h (6)

The maximum height is 784 feet
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒ 
Then, substitute the given values we have;

Combine like terms, we have;

Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given
1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4
2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14
3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20
4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3
Hence the equation is y =2x²-3x+4