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3 years ago

Witte a two column proofGiven

Mathematics

1 answer:

alexdok [17]3 years ago

8 0

Answer:

here is a example

Step-by-step explanation:

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Find an explicit function rule for the sequence -3, 3, 9, 15,.... Use the formula a(n) = a(1) + (n-1)d and simplify fully.

fiasKO [112]

A(1) = - 3 ;
a(2) = a(1) + ( 2 - 1 )d ;
3 = -3 + d ;
d = 6 ;
a(3) = a(1) + ( 3 - 1)d;
9 = - 3 + 2d ;
12 = 2d ;
d = 6 ;
a(4) = a(1) + ( 4 - 1 )d ;
15 = -3 + 3d ;
18 = 3d ;
d = 6 ;
Then, a(n) = - 3 + ( n- 1 )6 ;
a(n) = - 3 + 6n - 6 ;
a(n) = 6n - 9 is an explicit functin rule for the sequence -3, 3, 9, 15, ...

6 0

3 years ago

A line contains the points (-3, 4) and (7, -1). Calculate the equation of the line in the form

ad-work [718]

Answer:

$y=-\frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.

The slope formula is:

$m=\frac{y2-y1}{x2-x1}$

So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.

x₁ = -3

y₁ = 4

x₂ = 7

y₂= -1

I will plug in these values to find the slope.

$m=\frac{y2-y1}{x2-x1}\\\\m=\frac{-1-4}{7-(-3)}\\\\m=\frac{-5}{10}\\\\m=-\frac{1}{2}$

Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.

$y-y_{1} =m(x-x_{1} )\\\\y-4==-\frac{1}{2}(x-(-3))\\\\y-4=-\frac{1}{2}x-\frac{3}{2}\\\\ y=-\frac{1}{2}x+\frac{5}{2}$

I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.

I added another image that shows how to graph an equation using the equation y=mx+b

5 0

4 years ago

A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square cen

Gala2k [10]

Answer:

Step-by-step explanation:

Let the length be L

Formula

SA = 2Lw + 2Lh + 2wh

Givens

h = 15 cm

w = 6 cm

L = ?

SA = 684 cm^2

Solution

Substitue what you know into the given formula

2*6*L + 2*15*L + 2 * 6 * 15 = 684 Combine

12*L + 30*L + 180 = 684 Combine again

42L + 180 = 684 Subtract 180 from both sides.

42L +180 -180 = 684 - 180

42L = 504 Divide by 42

Answer: L = 12

7 0

2 years ago

This week Jill spent a total of 100 minutes studying this total was 8 more than four times the amount of minutes she studied las

Sophie [7]

Answer:

Step-by-step explanation:

100 minutes - 8 = 92

because it was eight more.

92 divided by 4 = 23

because it was four times the amount .

The answer is 23

3 0

3 years ago

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Zoe bought 5 chicken wings for $7.50. What's the unit cost of one wing? On the double number line below, fill in the given value

Gelneren [198K]

Answer:

Step-by-step explanation:1.10+1.10+1.10+1.00+1.00+1.00+1.00

3 0

3 years ago

Read 2 more answers

Witte a two column proofGiven​

Witte a two column proofGiven