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inn [45]
3 years ago
12

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x^2 + 12x + 5?

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0

Answer:

(-2,-7)

Step-by-step explanation:

melamori03 [73]3 years ago
7 0

Answer:

x= -2

Step-by-step explanation:

-b/2a = x

-(12)/2(2) = x

-12/6 = x

-2 = x

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Prime factorization of 180 math
jenyasd209 [6]
180|2
90|2
45|3
15|3
5|5
1

180=2^2\cdot3^2\cdot5
5 0
3 years ago
Read 2 more answers
Find the probability that when a couple has four ​children, at least one of them is a girl. ​(Assume that boys and girls are equ
AveGali [126]

Answer:

0.9375 = 93.75% probability that at least one of the four children is a girl.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following sample space

In which b means boy, g means girl

b - b - b - b

b - b - b - g

b - b - g - b

b - b - g - g

b - g - b - b

b - g - b - g

b - g - g - b

b - g - g - g

g - b - b - b

g - b - b - g

g - b - g - b

g - b - g - g

g - g - b - b

g - g - b - g

g - g - g - b

g - g - g - g

Total outcomes

There are 16 total outcomes(size of the sample space)

Desired outcomes

Of these outcomes, only 1(b - b - b - b) there is not a girl.

So the number of desired outcomes is 15.

Probability:

P = \frac{15}{16} = 0.9375

0.9375 = 93.75% probability that at least one of the four children is a girl.

7 0
3 years ago
Please help don’t get it ASAP
maxonik [38]

Answer:

Option C is correct.

38 miles

Step-by-step explanation:

Let x be the distance cover by Michelle

Given:

A circle diameter is 3 miles.

And Michelle biked around the trail 4 times.

We know that

The circumference of a circle.

circumference = 2\pi r----------(1)

where r=\frac{Diameter}{2}

r=\frac{3}{2} \\r=1.5 miles

Put \pi =3.14 and r value in equation 1.

circumference = 2\times 3.14 1.5

circumference = 9.42 mil;es

The circumference of a circle is 9.42 miles.

And Michelle biked 4 times, that is equal to 4 \times circumference.

x = 4\times 9.42

x = 37.65 miles.

That is equal to 38 miles.

Therefore, Michelle biked around 4 trail is 38 miles.

5 0
3 years ago
Franklin bought a book with 90 pages. If he
BartSMP [9]
The answer is A) 60%
3 0
3 years ago
Can someone pls help, I know this is kind of a lot but I’ve been stuck on this for a while now.
Greeley [361]

9514 1404 393

Answer:

  (a, b, c) = (-0.425595, 11.7321, 2.16667)

  f(x) = -0.425595x² +11.7321x +2.16667

  f(1) ≈ 13.5

Step-by-step explanation:

A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.

Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...

  a = -0.425595

  b = 11.7321

  c = 2.16667

so

  f(x) = -0.425595x² +11.7321x +2.16667

and f(1) ≈ 13.5

_____

<em>Additional comment</em>

Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.

3 0
3 years ago
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