Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
3.4 + 2.7 = 6.1
6.1(5.35) = 32.635
So, you would be charged $32.64 or letter C :)
Answer:
27 ft = 324 inches
Step-by-step explanation:
We want to use dimensional analysis to convert a quantity here
27 ft to inches
Mathematically;
12 inches = 1 ft
so;
x inches = 27 ft
So the number of inches will be 27 * 12 = 324 inches
Answer:
B. 1/9
Step-by-step explanation:
The positive square root of "x^2 - 4x + 4" is "x - 2". That value is already given to you, 1/3. Just square 1/3 to get 1/9.
(3x + 4)2 = 14
(3x + 4)2 means that 2 will multiply both 3x and 4
2 * 3x = 6x 2 * 4 = 8
6x + 8 = 14
Move +8 to the other side of the equation
6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -
6x = 14 - 8
6x = 6
Divide both sides by 6 because of the 6 beside the x : 6x
6x/6 = 6/6
x = 1
