Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Answer:
the slope is -1
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/ (x2-x1)
= (4--1)/ (-1-4)
= (4+1)/(-5)
= 5/-5
= -1
Answer:
B.
Step-by-step explanation:
Step-by-step explanation:
given
3x + y = 9
Writing In slope intercept form , y = mx + c
y = -3x + 9
comparing the given equation with y = mx + c
slope (m) = - 3
y-intercept (c) = 9
Hope it will help :)
The joint relative frequency values are the top-left four squares, or the intersection of 2 variables, divided by the total number in the bottom-right corner, which is 96.
Find the intersection of Camp and Swimming lessons. The number is 42. Divide this number by 96:
42 ÷ 96 = 43.75%
Best answer is 44%