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aivan3 [116]
3 years ago
9

Create an explicit formula for the following sequence 1/3,-1,3,-9

Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

multiply by -3

Step-by-step explanation:

1/3 gives -3/3=-1

-1*-3=3

3*-3=-9

it defines the function f so that f(x)=-3x

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Find the zeros of each function by using a graph and a table f(x)=x^2+3x-18.
Debora [2.8K]

1) Finding the zeros of this function f(x) =x² +3x -18

f(x) = x²+3x-18 <em>Factoring this equation, and rewriting it</em>

<em />

<em>Which two numbers whose sum is equal to 3 and their product is equal to 18?</em>

<em>6 -3 = 3 and 6 *-3 = -18</em>

<em />

<em>So we can rewrite as (x +6) (x-3)</em>

<em> </em>

(x+6)(x-3)=0 <em>Applying the Zero product rule, to find the roots</em>

x+6=0,

x=-6

x-3=0,

x=3

S={3,-6}

2) Setting a table, plugging in the values of x into the factored form: (x-6)(x-3)

x | y |

1 | -14 (1 +6)(1-3) =-14

2 | -8 (2 +6)(2-3) =-8

3 | 0

4 | 10

-5 | -8

-6 | 0

3) Plotting the function:

5 0
1 year ago
A triangle has side lengths of 77 centimeters, 55 centimeters, and cc centimeters. enter a value to complete the inequality that
PtichkaEL [24]
The correct question is
A triangle has side lengths of 7 centimeters, 5 centimeters, and c centimeters. enter a value to complete the inequality that describes the possible values for c, the length of the third side of the triangle.

we know that
The sum of the lengths<span> of any two </span>sides<span> of a </span>triangle<span> must be greater than the </span>third side

If c is the smallest number, then

5 + c > 7
c > 2

If c is the largest number, then

5+7 > c
12 > c----------> c < 12

the answer is
The value of c must be  in the interval (2,12)


3 0
3 years ago
An angle is two collinear rays with a common endpoint. Find an example that contradicts this definition. How would you change th
Sergeeva-Olga [200]

The explanation of the angle is illustrated below.

<h3>How to explain the angle?</h3>

It should be noted that an example that contradicts the information given about the angle is that if two rays overlap, it's still a ray but not an angle.

Then, a modified definition will be that this common endpoint is called the vertex of the angle and the two rays are called the sides of the angle.

Learn more about angle on:

brainly.com/question/25716982

#SPJ1

3 0
2 years ago
Determine the standard form of the equation of the line that passes through (-2, 0) and (-8,5)
Naya [18.7K]

Answer:

-5x-6y=10      ←   in standard form

Step-by-step explanation:

The equation of a line in  standard form  is.

Ax+By=C

were

  • A is a positive integer and
  • B, C are integers

As the equation in  point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope and \left(x_1,\:y_1\right)  is a point on the line.  

as

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-8,\:5\right)

m=\frac{5-0}{-8-\left(-2\right)}

m=-\frac{5}{6}

using   m=-\frac{5}{6}  and \left(x_1,\:y_1\right)=\left(-2,\:0\right)  then

y-0=-\frac{5}{6}\left(x-\left(-2\right)\right)

-\frac{5}{6}\left(x-\left(-2\right)\right)=y-0

6\left(-\frac{5}{6}\left(x-\left(-2\right)\right)\right)=6y

-5\left(x+2\right)=6y

-5x-10=6y

-5x-6y=10      ←   in standard form

8 0
3 years ago
the sum of three consecutive even numbers is 42. The sum can be represented by the equation n+(n+2)+(n+4)=42. what does n repres
Arisa [49]
If you simplify the equation by adding the like terms, you get 3n+6=42
Then you can subtract 6 from each side
3n=36
Divide each side by 3
n=12
6 0
3 years ago
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