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laiz [17]
3 years ago
6

A university lecture hall has 100 seats. During class, 30% of the seats are empty. How many students are attending class?

Mathematics
2 answers:
Alika [10]3 years ago
7 0

Answer:

70 students

Step-by-step explanation:

100=100% so -30 to get 70 students

Shtirlitz [24]3 years ago
3 0

Answer:

70 students are attending class

Step-by-step explanation:

100% - 30% = 70%

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Y=-3x^2-6x+24
Lera25 [3.4K]
The x-intercept is the point at which the function intersects the x-axis.
For any point on the x-axis, y = 0. Thus we can plug in 0 for y and solve for x.

y=-3x^2-6x+24 \\ 0=-3x^2-6x+24

Let's split the middle on this quadratic.
To do this we need to find two numbers that add to equal -6 and multiply to equal -72. (-3 times 24)
Consider ways to multiply to get 72.
72 = 36 ×2...that's not going to work.
72 = 24 × 3
72 = 18 × 4
72 = 12 × 6...and 12 minus 6 is 6!
Let's add our signs; our numbers are -12 and 6.
Now, split the middle and factor.

0=-3x^2-12x+6x+24\\0=-3x(x+4)+6(x+4)\\0=(-3x+6)(x+4)

Now you should know that anything multiplied by zero is zero.
So any value that makes one of those factors equal zero is an x-intercept.
Solve each of these equations.

-3x+6 = 0
-3x = -6
x = 2

x+4 = 0
x = -4

Oh, and since all parabolas (graphs of quadratics) are symmetrical, our axis of symmetry will be the average between the two, which is x=-1.

Now for our y-intercepts. For any points on the y-axis, x=0, so if we plug in 0 for x and solve for y we'll get our y-intercept.

y = -3×0² - 6×0 + 24
y = 0 - 0 + 24
y = 24

What about our vertex? Well, we know it's going to line up with the axis of symmetry, so let's just plug in -1 for x.

y = -3×-1² - 6×-1 + 24
y = -3×1 -6×-1 + 24
y = -3 + 6 + 24
y = 27

Thus the vertex is (-1, 27)

The y value is not going to exceed 27, as this is a decreasing quadratic, (we already know y=24 is a possibilty) and this equation goes downwards infinitely, so our range is (-∞, 27)

As for x, well, it's sort of the input for our equation, meaning it can be whatever we want it to be. Thus the domain is (-∞, ∞)




3 0
3 years ago
Plz help me....<br> What are the coordinates of point A?
s344n2d4d5 [400]

Answer:

It's 5/4 because you go by x first

3 0
3 years ago
Read 2 more answers
BRAINLIEST, help, thank youu!!
mihalych1998 [28]

Answer: B - 15/40

Step-by-step explanation: You can simplify the answer from

3/8 x 5 = 15/40

Hope this helps ty if you do give brainliest. means alot.

6 0
2 years ago
Read 2 more answers
Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her
Aleks [24]
4,000 in bank -500 and 15000 so she had  -20000 +4000 so it equals -16000
3 0
3 years ago
Help me with this please
qwelly [4]
The fraction is written as 3/4.
If you divide 3 by 4 you will get the decimal.


8 0
3 years ago
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