Answer:
4x -3
Step-by-step explanation:
The distributive property applies.
3x +4(x -6) -3(x -7)
= 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property
= 3x +4x -24 -3x +21 . . . . . . . . simplify
= x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again
= 4x -3 . . . . simplify
Answer:
y = -4x+15
Step-by-step explanation:
y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5
swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:
1/4 --------> 4/1 -------> -4/1 = -4
y = -4x+n
Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":
7=-4*2+n ------> 7=-8+n -------> 7+8 = n -------> 15=n
substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15
Answer:
34
8
Step-by-step explanation:
<u>1/2bc - 6ac + 2ab</u>
(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)
(1/2)(4) - (-36) + (-4)
2 + 36 - 4
34
<u>1/4(ac)² + 1/6ac</u>
(1/4)[(2)(-3)]² + (1/6)(2)(-3)
(1/4)(-6)² + (1/6)(-6)
(1/4)(36) + (-1)
9 - 1
8
Option B is correct.
John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide.
Here, 65.25" is Quantitative, continuous
There are two types of quantitative data or numeric data: continuous and discrete.
As a general rule, counts are discrete and measurements are continuous. A continuous data can be recorded at many different points (length, size, width, time, temperature, etc.)
So, option B is the answer.
What was the original container?