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ankoles [38]
3 years ago
7

PLEASE HELP I NEED HELP ASAP PLEASE

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

y = -x² - x/22 + 6/11

Step-by-step explanation:

Standard form, is y = ax² + bx + c

We need to use standard form (though we could use vertex form, but it is easier to do standard form)

Substitute the x and y values that they give into y = ax² + bx + c

Because the parabola passes through...

(-4, 0), then 0 = (-4)²a + (-4)b + c

(3, 0), then 0 = 9a + 3b + c

(-8, -2), then -2 = 64a - 8b + c

So, we get this system:

16a − 4b + c = 0

9a + 3b + c = 0

64a − 8b + c = −2

Because you are learning about parabolas, I am assuming that you can solve a system, but the answers are:

a = -x²/22

b = -x/22

c = 6/11

So, the equation of the parabola is:

y = -x²/22 - x/22 + 6/11

I hope this helps! Feel free to ask any questions!

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What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?
Agata [3.3K]

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Step-by-step explanation:

The volume of an hemisphere is given by:

V = \frac{2 \pi r^{3}}{3}

In this problem, we have that:

V = 2233

So

\frac{2 \pi r^{3}}{3} = 2233

2\pi r^{3} = 3*2233

r^{3} = \frac{3*2233}{2\pi}

r = \sqrt[3]{\frac{3*2233}{2\pi}}

r = 10.2

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

5 0
3 years ago
If y varies inversely as x2 and y = 100 when
love history [14]
Ans: (c)

y = k/x^2

when y = 100, x = 1
100 = k/1^2
k = 100

when x = 2,
y = 100/2
= 50

(u/rachelmarrons already gave you the answer but here’s a step-by-step explanation in case you needed it haha)
4 0
3 years ago
Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

5 0
3 years ago
Please help me with this :)
Paul [167]
Just 7 would be the answer
4 0
3 years ago
Read 2 more answers
Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function
Ivahew [28]

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

4 0
3 years ago
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