Answer:
p=7x
Step-by-step explanation:
49x^[2] + 28x - 10 = p^[2] + 4p -10
This equation is in the form a^[2]x + bx + c.
<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>
There are two ways to find p: 'a' or 'b'
<u>a method</u>
49x^[2] = p^[2]
=> The square root of both sides = 7x = p
<u>b method</u>
28x = 4p
28x/4 = 4p/4
7x = p
Answer: 112 inches.
Step-by-step explanation:
You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.
Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;

Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
brainly.com/question/6499629
Answer:


Step-by-step explanation:
Area is found by mulitplying width and height.

in
The ratio is 0.5in : 1ft, so if you multiply that ratio to the answer, you should get the answer in feet.
in x


Answer: Vertical Stretch
Step-by-step explanation:
Given: The cost of manufacturing x refrigerators is given by the function :
If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :
which represents a vertical stretch in the graph.
∵ 2 is a positive constant greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .