Answer:
Sum of the first 15 terms = -405
Step-by-step explanation:
a + 3d = -15 (1)
a + 8d = -30 (2)
Where,
a = first term
d = common difference
n = number of terms
Subtract (1) from (1)
8d - 3d = -30 - (-15)
5d = -30 + 15
5d = -15
d = -15/5
= -3
d = -3
Substitute d = -3 into (1)
a + 3d = -15
a + 3(-3) = -15
a - 9 = -15
a = -15 + 9
a = -6
Sum of the first 15 terms
S = n/2[2a + (n − 1) × d]
= 15/2 {2×-6 + (15-1)-3}
= 7.5{-12 + (14)-3}
= 7.5{ -12 - 42}
= 7.5{-54}
= -405
Sum of the first 15 terms = -405
Well for starters 10% of 120$ is 12$. 120+12=134...
This means 140 - 134=6
Answer: $6 of change
To solve this completion exercise you must apply the proccedure shown below:
1. You have the first function:
y=-0.2x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
2. Now, you have the second function:
y=x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
3. When you see the two graphs attached, you can conclude the the answer is the option D):
D. W<span>ider than and opens in the opposite direction</span><span>
</span>
Answer: OPTION C.
Step-by-step explanation:
Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Then if you solve fo y from the given equation, you obtain the following form:

Therefore y varies directly with x².