Answer:
A
Step-by-step explanation:
The difference of squares formula is a² - b² = (a + b)(a - b). We want this polynomial to be in the form a² - b². We notice that x² and 49 are perfect squares already which means that we don't need the x term. To get rid of it, its coefficient must be 0 because 0 times anything is 0, thus the x term will be removed and we'll be left with x² - 49 which is a difference of squares.
Answer:

Step-by-step explanation:
Given
- The mean of the data set is 35 apples.
- Let's call
the number of apples.
The means is defined as the quotient between the sum of all elements and the total number.
Mathematically, it would be defined as

But, we know that the mean is equal to 35.

Then, we solve for 

As you can see, the total number of apples depends on the sum of all elements of the data set.
For example, if the sum of all elements is 700, the total number of apples would be

Therefore, the expression that represents the total number of apples is

Answer:
C: strong
Step-by-step explanation:
Its basically asking if the line going through the points fits them. Parabolic would mean the trend line is a parabola, which its not. a parabola is a curved line. weak would mean it doesnt follow most of the points. strong would mean it does follow most of the points, which it does. negative, im guessing would mean it follows none and is completely separate from the points. hope this helps.
Answer:
368 cans.
Step-by-step explanation:
Volume of 1 can = π r^2 h.
Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.
So V = π * 3^2 * 12
= 108π cm^3.
The tank hold 125 liters
= 125,000 cm^3, so:
Number of cans that could be filled = 125000/ 108 π
= 368.4.
Answer:
x = 8
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x =
=
=
×
= 8