Answer:
x=6
Step-by-step explanation:
Solve for x:
5 (2 x - 8) - 15 = 5
5 (2 x - 8) = 10 x - 40:
10 x - 40 - 15 = 5
Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):
10 x + (-40 - 15) = 5
-40 - 15 = -55:
10 x + -55 = 5
Add 55 to both sides:
10 x + (55 - 55) = 55 + 5
55 - 55 = 0:
10 x = 5 + 55
5 + 55 = 60:
10 x = 60
Divide both sides of 10 x = 60 by 10:
(10 x)/10 = 60/10
10/10 = 1:
x = 60/10
The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:
Answer: |
| x = 6
Option B:
The equation of a line is
.
Solution:
Given data:
Line passing through the point (4, 12).
y-intercept of the line = –2
The equation of a line in slope-intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
c = –2
Substitute c = –2 in slope-intercept form.
y = mx – 2 – – – – (1)
To find m, substitute (4, 12) in the above equation.
12 = m(4) – 2
12 = 4m – 2
Add 2 on both sides of the equation.
14 = 4m
Divide by 2 on both sides of the equation.


Slope = 
Substitute m value in equation (1), we get

The equation of a line is
.
Hence Option B is the correct answer.
The slope-intercept form of the equation of a straight line is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept.
If the given slope is -1/2, then this equation becomes y = (-1/2)x + b.
You do not say that b=1.
But if we let b=1, then the equation becomes y = (-1/2)x + 1.
Using the combination formula, it is found that he can make 4 different stacks.
The order in which the balls are selected is not important, as stated in the problem. hence the <em>combination formula</em> is used to solve this question. If the order was important, then the permutation formula would be used.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, he has four flavors, and will choose three of them for the stacks, hence the number of different stacks is given as follows:

He can make 4 different stacks.
More can be learned about the combination formula at brainly.com/question/25821700
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