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3 years ago

7

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes

through (negative 2, 0).
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which

1 answer:

BigorU [14]3 years ago

6 0

Answer:

Which?

Step-by-step explanation:

need a little more info

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A scuba diver was swiming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the diffrence b

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Answer:

21

Step-by-step explanation:

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3 years ago

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There are 15 m and ms that are peanut or small, 2 m and ms that are peanut and small, and 9 m and ms that are small. How many m

GarryVolchara [31]

Answer:

4m and ms are peanut

Step-by-step explanation:

9+2=11 and theres 15 total so 15-11= 4

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3 years ago

Please help very urgent

Alik [6]

Answer:

32, <u>16</u>, <u>8</u>, <u>4</u>, <u>2</u>, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

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3 years ago

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What is 9.39 to one decimal place

mafiozo [28]

9.4 because the number after the firs decimal point is higher than 5

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3 years ago

SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the tria

Oduvanchick [21]

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

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3 years ago