g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
The amount of shirts and pants the clothier makes is an illustration of a linear equation
The equation that represents the number of shirts, and the number of pants is 4s + 6p = 40
<h3>How to determine the equation</h3>
The rates are given as:
Shirts = 4 hours
Pants = 6 hours
In time t, the shirts and pants made is represented with:
t = 4s + 6p
Given that the time is 40 hours, the equation becomes
4s + 6p = 40
Hence, the equation that represents the number of shirts, and the number of pants is 4s + 6p = 40
Read more about linear equations at:
brainly.com/question/14323743
a salesperson earns $175 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $525.
Let x be the amount of sales in dollars
Commission = 4% of her sales x = 4% of x = 0.04 * x= 0.04 x
a salesperson earns $175 per week + 0.04 x
so Amount of earning in a week = 0.04 x + 175
This week her goal is to earn no less than $525.
So amount of earning is greater than 525
0.04 x + 175 >= 525
The required expression is 0.04 x + 175 ≥ 525
Answer:
y = 112
z = 27
Step-by-step explanation:
Alright,
So we know that a straight line adds up to 180. And looking at the figure, it looks like 68 + y = 180 if you do some visualization.
So, we can already calculate y.
y = 180 - 68
y = 112
Now we find z. z here is represented in an expression. We can see that y and the expression z is in are congruent to each other which means they will equal each other. And since we know that y = 112, we know that the expression z is in is also equal to 112.
So we set up an equation like so:
112 = 3z + 31
And start to simplify:
81 = 3z
Finally we divide:
27 = z
Therefore, z is 27
