Answer:
272
Step-by-step explanation:
you need to find the whole rectangle area (40 times 20)then subtract the cut off areas (6 times 32)
Answer:
16:3
17:4
18:1
19:1
Step-by-step explanation:
Answer:
Translate each point of the graph of h(x) 3 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation of a graph
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ 
∵ 
∵ x in h(x) is changed to (x + 3) in m(x)
- From the 2nd rule above, that means the graph of h(x)
is translated 3 units to the left
∴ The graph of h(x) is translated 3 units to the left
∴ Each point on the graph of h(x) is translated 3 units to the left
∴ Translate each point of the graph of h(x) 3 units left
<em>Look to the attached figure to more understand</em>
<em>The red line represents h(x)</em>
<em>The blue line represents m(x)</em>
Answer:
Both slopes are equal
Step-by-step explanation:
The general form of a linear function is:
y = mx + c
where m is the slope and c is the y-intercept
We can, thus, note that the slope is constant across the linear function.
Since we are given that the relation between the salary and hours worked is linear, therefore, the slope will be equal between any two points belonging to the function
Verification:
slope can be calculated as follows:
slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }
1- In case of (4,30) and (12,90):
slope = slope = \frac{ 90 - 30 }{ 12 - 4 } = 7.5
2- In case of (4,30) and (10,75):
slope = \frac{ 75 - 30 }{ 10 - 4 } = 7.5
Hope this helps :)