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Bas_tet [7]
3 years ago
7

What is answer to this question ?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
A its not a function 
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F (x) when x = 1 for the function f (x) = −x2 − 3.
zepelin [54]
The answer is - x 2-3
put x=1
(-1)2-3
-2 -3
=-5
4 0
3 years ago
Find the equation of the lines, that is parallel to the line 9x-8y=1, and tangent to the elipses 9x^2+16y^2=52.
lara31 [8.8K]

Answer:

The equations of the lines that satisfy these conditions are

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

They can be written further as

8y = 9x + 26

and

8y = 9x - 26

Step-by-step explanation:

The line parallel to the line 9x - 8y = 1 has the same slope as 9x - 8y = 1

Writing the equation of the line in the (y = mx + c) form

8y = 9x - 1

y = (9/8)x - 1

So, the line(s) we are looking for has/have slope(s) of (9/8).

Its equation is then

y = (9/8)x + k

This line is then said to be tangent to the ellipses

9x² + 16y² = 52

So, since the line is a tangent to the ellipses, it will have the same coordinates as the ellipses at the point of contact.

9x² + 16y² = 52

y = (9/8)x + k

y² = (81/64)x² + (18k/8)x + k²

y² = (81/64)x² + (9k/4)x + k²

Substituting this into the ellipses equation,

9x² + 16y² = 52

9x² + 16[(81/64)x² + (9k/4)x + k²] = 52

9x² + (81/4)x² + 36kx + 16k² = 52

29.25x² + 36kx + 16k² - 52 = 0

Taking note that the two lines that will be tangent to the ellipses and parallel to the line given, to establish tangency, we make the discriminant of this equation 0. Hence, the roots of that equation will have equal roots.

So, the discriminant, b² - 4ac = 0

29.25x² + 36kx + 16k² - 52 = 0

a = 29.25

b = 36k

c = 16k² - 52

(36k)² - (4)×(29.25)×(16k² - 52) = 0

1296k² - 1872k² + 6084 = 0

576k² = 6084

k = ±(13/4)

So, the equation(s) of the line(s) required is

y = (9/8)x ± (13/4)

So, the equations include

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

Multiplying by 8, we obtain

8y = 9x + 26

8y = 9x - 26

Hope this Helps!!!

6 0
3 years ago
A Girl Scout camp served half of their granola with breakfast. After dinner, they put the remaining 6{,}250 \text{ g}6,250 g6, c
Iteru [2.4K]

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = x kg

Half of it (\frac{x}{2}) served with breakfast, so remaining granola :

x-\dfrac{x}{2} = \dfrac{x}{2}

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms  = 6250 \times 0.001 = 6.250 kilograms

Now, as per given question statement:

\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

5 0
3 years ago
How do you Evaluate 6!
yan [13]

Answer:

very carefully

also, please provide more context

7 0
3 years ago
The first term of the sequence is -15. what is the next term in the sequence?
Alenkinab [10]

Answer:

-10

Step-by-step explanation:

minus 5 in each number

7 0
3 years ago
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