Answer:
4x^2 +5x -21
Step-by-step explanation:
(x+3) * (4x-7)
FOIL
first : x*4x = 4x^2
outer: -7x
inner: 3*4x =12x
last: -7*3 = -21
Add them together : 4x^2 -7x+12x -21
Combine like terms : 4x^2 +5x -21
Answer:
7.5
Step-by-step explanation:
The answer is 7.5 because 18 × 5/12 = 7.5
The mathematical property demonstrated by 7+9+3=7+3+9 would be the commutative property. This property states that in operations such as addition and multiplication, when you switch the order of the numbers around, the result will always be the same. In 7+9+3=7+3+9, no matter what order you put the numbers in, the answer will always be 19.
Answer:

Step-by-step explanation:
We can model this function using the equation of a line:

Where a is the slope of the line and b is the y-intercept.
To find the values of a and b, we can use the two points given:
(-9, -3):


(-12, 4):


If we subtract the second equation from the first one, we have:




Then, finding the value of b, we have:



So the equation is:

The radius of the cylinder is 2.92 cm
<u>Explanation:</u>
Given:
Volume of cylinder, V = 193 cm³
Height of the cylinder, h = 7.2 cm
Radius of the cylinder, r = ?
We know:
Volume of cylinder = πr²h
On substituting the value we get:

Therefore, the radius of the cylinder is 2.92 cm