Answer:
-23/2
Step-by-step explanation:
x-5=3(x+6)
x-3x=18+5
-2x=23
x=-23/2
Answer:
Strong negative correlation
Step-by-step explanation:
n the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.
Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.
Therefore, the phrase that best describes the scatter plot is: strong negative correlation.
Each new term of this arith. seq. is obtained by adding 4 to the previous term. Hence, 15 = 11+4; 19=15+4, and so on. Add 4 to 19 to get the next term. Keep going until you have 4 new terms for the arith. seq. 11, 15, 19, .....
Answer:
7x³ + 9x² - 3x - 8
Step-by-step explanation:
4x³ + 6x² + 2x - 3 + 3x³ + 3x² - 5x - 5 ← collect like terms
= 7x³ + 9x² - 3x - 8
Answer:
The explicit formula is a
= 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a
= first term; a = a
+ d is a = a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a = a - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n
