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nata0808 [166]
3 years ago
9

Someone please help me with these 2 problems :(

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.

If you're given the x-intercepts, you can determine the factors of the polynomial as follows:   Take -3, change the sign and write (x+3).  Take 5, change the sign and write (x-5).  Then the eq'n of the parabola is

f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.

You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using

x= -b / (2a).    Here, x = -(-2) / (2[1]), or  x = 1

Find the y-coordinate by subbing 1 for x in the equation above:

y = (1)^2 - 2(1) - 15  =  1 - 2 - 15  =  -16

The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.
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According to VSEPR theory, if there are five electron domains in the valence shell of an atom, they will be arranged in a(n) ___
andriy [413]

Answer:

trigonal bypyramidal

Step-by-step explanation:

It's difficult to explain without a drawing or a model, but it would basically arrange itself into two triangle based pyramids connected to each other at the base, which is trigonal bypyramidal.

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3 years ago
What is the unit price if you divide 5.36 by 20 oz?
Alisiya [41]

Answer:

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I hope this helps :)

5 0
3 years ago
HELPPPPPP!! ASAPPP!!! PLEASE!! WILL GIVE EXTRA POINTS!<br><br>4.8<br>4<br>8<br>7.2
vivado [14]

Answer:

x = 4

Step-by-step explanation:

180° - 114° = 66°

15x - 6 = 66

15(4) - 6 = 66

60 - 6 = 54      

Statement is wrong because we can see another angle. so...

Final answers: x = 4   while 54 + 114° = 168°  then 180° - 168° = 12°

6 0
3 years ago
Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]
ExtremeBDS [4]

If <em>x</em> = -1, you have

2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0

and if <em>x</em> = 0, you have

2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0

The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.

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What does this quote mean to you<br> “An eye for an eye will make the whole world blind”
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