The resulting equation will represent a line whose slope is 1/2 times the slope of the line
<h3>How to determine the slope of the new line?</h3>
The equation of the line is given as:
y = 3x/a + 5
The constant a is a positive constant.
So, when the value of a in the equation is doubled, we have:
y = 3x/2a + 5
A linear equation is represented as
y = mx + b
Where m represents the slope.
So, we have:
m1 = 3/a
m2 = 3/2a
Substitute m1 = 3/a in m2 = 3/2a
m2 = 1/2 * m1
Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line
Read more about linear equation at:
brainly.com/question/14323743
#SPJ1
Answer:
If the factory starts with 6,000 packaged light bulbs at the beginning of the day, and the factory produces 1,200 light bulbs every hour for the next 5 hours then in 5 hours there will be 6,000 light bulbs.
6,000 + (1,200 x 5) = ?
6,000 + 6,000 = ?
? = 12,000 lightbulbs
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
x=-7.5
Step-by-step explanation:
3x-2/4=2x-8
-2x -2x
x-2/4=-8
+2/4 +2/4
Put separate terms on each side
x=-7.5
Please correct me if I'm wrong
Hope this helps!
