The director would have to pay $40.47.
If each scholar eats one slice of pizza, then there would be two pizza pies because 8 slices plus another 8 slices in 16
8+8=16
If all of them eat another .5 slice, adding up the halves would equal 8
.5 x 16 = 8
In total, the director would have to buy three pizzas which equals up to our total of $40.47
When a line is parallel to another line, that means both lines have the same slope.
Since the standard form equation for a line is y = mx + b where m is our slope and b is our y-intercept, we know that the new equation will also have m=4.
They give us the y-intercept, b=1
So oue new equation is as follows...
y = 4x + 1
Answer:
2x² + 7x + 6
Step-by-step explanation:
To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).
You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.
(x+2)(2x+3)
2x²+ 3x + 4x + 6
2x² +7x + 6
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
T<span>he correct answers: </span>"a" and "c".
At "a" we have:
x= number of <span>unopened packages
</span>At "c" we have:
x= number of <span>hours that she works</span>