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2 years ago

Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

<h3>Answer: an = 6n - 15 (Choice C)</h3>

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Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

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Is the answer A or B or C or D??

maxonik [38]

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Step-by-step explanation:

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2 years ago

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nata0808 [166]

Answer: the first option is the correct answer.

Step-by-step explanation:

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2 years ago

What point slope form equation could be produced with the points(-3,-6)and (3,-3)

Irina-Kira [14]

Answer:

y+6=1/2(x+3)

Step-by-step explanation:

Hi there!

We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)

Point-slope form is given as y- $y_{1}$ =m(x- $x_{1}$ ) where ( $x_{1}$ , $y_{1}$ ) is a point and m is the slope

We don't know the slope of the line, so let's find it

The formula for the slope (m) calculated from two points is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) are points

We have two points, but let's label their values to avoid any confusion

$x_{1}$ =-3

$y_{1}$ =-6

$x_{2}$ =3

$y_{2}$ =-3

Now substitute into the formula (remember: the formula has SUBTRACTION)

m= $\frac{-3--6}{3--3}$

simplify

m= $\frac{-3+6}{3+3}$

m= $\frac{3}{6}$

m=1/2

So the slope of the line is 1/2

Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)

y- $y_{1}$ =m(x- $x_{1}$ )

y--6=1/2(x--3)

simplify

Hope this helps!

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2 years ago