Answer: (b) vertical stretch by a factor of 6
<u>Step-by-step explanation:</u>
Consider h(x) = A(x - h)² + k
- A is the vertical stretch by a factor of A
- h is the horizontal shift (positive = right, negative = left)
- k is the vertical shift (positive = up, negative = down)
f(x) = x²
g(x) = 6x²
↓
vertical stretch by a factor of 6
Answer:
38°
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees.
Therefore, all the angles in the triangle given in the question add up to 180 degrees.
So, let's create an equation and solve for
:

Simplify:

Solving for
we get:

Now, let's put the value of
we got into the formula for angle A.


Given:
Price change of four companies
.
To find:
Smallest price change of the four companies.
Solution:
We have price change of four companies as
.
Here negative sign represents the decrease in stock market price.
Price change can either positive or negative. So, we need to find the absolute value of each price change.




Arrange these values in increasing order.

Now,
Price changes in ascending order is

Hence, -1/8 the smallest price change of the four companies.
Answer:
3.875 or 3 7/8 gallons of paint.
Step-by-step explanation:
There are 8 pints in a gallon.
31/8 = 3.875
Answer:
c = √85
c = 9.2
Step-by-step explanation:
a² + b² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
c = √85
c = 9.2