Answer:
a) The graph shifted to the left by 3 units and up 1 unit.
b) Domain = x ∈ R Range = y ∈ R
(Domain (x) = All real numbers Range (y) = All real numbers)
c) (-4, 0)
d) (0, 2.442)
~Hope this helps! If you have any questions, please let me know!~
Answer:
Rita must work 50 days to save at least $25.
Step-by-step explanation:
The amount Rita earns per hour = $10
The saving percentage = 5%
So, the savings of Rita per hour = 5% of $10
⇒5% of $10 = 
or Rita saves $0.5 per hour.
The amount she wants to save at minimum = $25
So, let she works at the minimum of k Days.
⇒
or, 
The number of hours she has to work = 50 days
Hence, Rita must work 50 days to save at least $25.
Answer:
r=1/4
Step-by-step explanation:
y=1/4*x
2=1/4*8
1/4*8=2
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!