Answer:
The translation corresponds to : ![g(x)=\sqrt[3]{x-4}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D)
which is the first option in your list of possible answers
Step-by-step explanation:
Notice that this new function's graph responds to a horizontal translation to the right of the original graph of ![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
. Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.
Recall that horizontal translations are performed by subtracting from the independent variable (x) , the number of units you move (in this case 4)
Therefore the new function should look like:
9514 1404 393
Answer:
$(4/3)X
Step-by-step explanation:
Working 12 hours, Samia gets paid for the first 8 hours ...
8 · ($X) = $8X
For the remaining 4 hours, she is paid ...
4 · ($2X) = $8X
Then for 12 hours, she is paid a total of ...
$8X +$8X = $16X
Her average hourly pay is then ...
total pay / total hours = $16X/12 = $(4/3)X . . . average hourly pay
this is the working
The answer will be one and three eighth cups
Step-by-step explanation:
hope this helps
Answer:
#1) x=38
#2) x=12
Step-by-step explanation:
For (1)
Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.
For (2)
Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
where m is the slope, and b is the y-intercept.
or
where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
<em>However,</em> (0, -5) tells us that this point must be a <u>y-intercept</u>, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
