Answer:
![h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
The inflection point of f(x) is the point 
The inflection point of h(x) is the point 
-----> see the given graph
so
the rule of the translation of f(x) to h(x) is
That means------> The translation is 
units to the left
therefore
The equation of h(x) is equal to
Answer:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula
Given that Josie drove 45 minutes at 70 miles per hour.
In 45 minutes, she traveled = 
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.
In 15 minutes, she traveled 
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.
Answer:
C
Step-by-step explanation:
Both triangles have three angles of the same value.
Remember that the angles in all triangles add up to 180°.
Let's use that to find out the unknown angles.
For the first triangle:
180 - 82 - 43 = 55°
55° is also in the second triangle.
Let's check with the second triangle:
180 - 82 - 55 = 43°
43° is also in the first triangle.
Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.
Hence, C.
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
Break down the words into an equation:
(x+7)/(x+3) + (x-4)/3
