Answer:
D: I think
Step-by-step explanation:
Answer:
D) y = 4x - 13
Step-by-step explanation:
Slope: the change in y over the change in x
In a equation in slope-intercept form is in <em>y = mx + d, where m is the slope</em>.
The slope can be found by its definition. As<em> y goes up by 4, x goes up by 1</em>, so the slope is <em>4/1 = 4</em>.
The only option with 4 as the slope is D.
Answer:
x=5,y=3
Step-by-step explanation:
the first step is to decide whether you want to substitute y and find x, or substitute x and find y.
(it doesn't matter which way you will choose.If you do the math correctly you will get the correct answer,one way or another).
for example, let's substitute y into the first equation:
x=17-4*(x-2)
so now,we will organize the equation:
x+4x=17+8
5x=25/(÷5)
x=5
now we will substitute x with 5 in the second equation(or the first one,it doesn't matter)in order to find y:
y=5-2
y=3
Answer:
The sum of its 30 terms is 38167.5
Step-by-step explanation:
Given:
The First term in the AP is -504
The Sum of its 9 terms is -126
To Find:
The sum of its 30 terms = ?
Solution:
The sum of n terms of an AP:
![S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]](https://tex.z-dn.net/?f=S_n%20%3D%20%28%5Cfrac%7Bn%7D%7B2%7D%20%29%20%5B%202%20a_1%20%2B%20%28%20n%20-%201%20%29%20d%20%5D)
The sum of 9 terms of an AP:
![S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%28%5Cfrac%7B9%20%7D%7B2%7D%20%29%20%5B%202%28-504%29%20%2B%20%28%209%20-%201%20%29d%20%5D)
![S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%284.5%20%29%5B%202%20%28-504%29%2B%20%28%208%20%29%20d%20%5D)

(-4536) +36d = -126
36 d = -126+4536
36 d= 4410

d = 122.5
The sum of its 30 terms is
![S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%28%20%5Cfrac%7B30%20%7D%7B2%20%7D%29%20%5B%202%20%28-504%29%20%2B%20%28%2030-1%29%28122.5%29%20%5D)
![S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%2815%29%20%5B%202%20%28-504%29%20%2B%20%28%2029%29%28122.5%29%20%5D)
![S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%202%20%28-504%29%2815%29%20%2B%20%28%2029%29%28122.5%29%2815%29%20%5D)
![S_{30} = [ -15120 + 53287.5 ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%20-15120%20%2B%2053287.5%20%5D)

Answer:
a fluid ounces
Step-by-step explanation: