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andre [41]
3 years ago
5

A parabola opens down if the value of is negative in the general form of the equation.

Mathematics
2 answers:
hammer [34]3 years ago
7 0
When a <0 Hope this helps :)
salantis [7]3 years ago
7 0

Answer:

The answer is the negative value of "a".

Step-by-step explanation:

In order to determine the answer, we have to know about the general form of the quadratic function.

The general form is:

f(x)=ax^2+bx+c

where a , b and c are real numbers and a not equal to zero.

I have attached an image that shows the general graph of the quadratic function. We can see that:

  • If the value of "a" is positive, the parabola opens up.
  • If the value of "a" is negative, the parabola opens down.

It depends on the coefficient next to the quadratic variable.

Finally, the negative value of "a" makes that the parabola opens down.

You might be interested in
If sinA+cosecA=3 find the value of sin2A+cosec2A​
Irina18 [472]

Answer:

\sin 2A + \csc 2A = 2.122

Step-by-step explanation:

Let f(A) = \sin A + \csc A, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

\csc A = \frac{1}{\sin A} (1)

\sin^{2}A +\cos^{2}A = 1 (2)

Now we perform the operations: f(A) = 3

\sin A + \csc A = 3

\sin A + \frac{1}{\sin A} = 3

\sin ^{2}A + 1 = 3\cdot \sin A

\sin^{2}A -3\cdot \sin A +1 = 0 (3)

By the quadratic formula, we find the following solutions:

\sin A_{1} \approx 2.618 and \sin A_{2} \approx 0.382

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

\sin A \approx 0.382

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

A \approx 22.457^{\circ}

Then, the values of the cosine associated with that angle is:

\cos A \approx 0.924

Now, we have that f(A) = \sin 2A +\csc2A, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

\sin 2A = 2\cdot \sin A\cdot \cos A (4)

\csc 2A = \frac{1}{\sin 2A} (5)

f(A) = \sin 2A + \csc 2A

f(A) = \sin 2A +  \frac{1}{\sin 2A}

f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}

f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}

If we know that \sin A \approx 0.382 and \cos A \approx 0.924, then the value of the function is:

f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}

f(A) = 2.122

8 0
3 years ago
+ listen
larisa86 [58]

Answer:

$4.99

Step-by-step explanation:

34.93 \div 7

8 0
3 years ago
Read 2 more answers
What is the answer srry I need help and no one knows
Masja [62]
Maybe 16,000 or 6,000
6 0
3 years ago
Responde la siguiente sucesion numerica 6 18__162__1458
likoan [24]
English please no habla espanol
5 0
3 years ago
Do not scam or you get reported
Nikitich [7]

Answer:

.62 cents per box

Step-by-step explanation:

Take the total cost and divide by the number of boxes to get the unit cost

4.98 / 8

.6225 per box

It states to round to the nearest cent

.62 cents per box

7 0
3 years ago
Read 2 more answers
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