Answer:
the other two dimensions are (x + 1) and (x - 6)
Step-by-step explanation:
Given;
Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12
factor of the function as height of the refrigerator, = x + 2
Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;
x² - 5x - 6
--------------------------------------
x + 2 √ x³ - 3x²- 16x - 12
- (x³ + 2x²)
------------------------------
-5x² - 16x - 12
- (-5x² - 10x)
-------------------------------
-6x - 12
- (-6x - 12)
--------------------------------------
0
Factorize the quotient ( x² - 5x - 6);
x² - 5x - 6 = x² + x -6x - 6
= x (x + 1) - 6( x + 1)
= (x + 1) (x - 6)
Thus, the other two dimensions are (x + 1) and (x - 6)
Answer:
b = 5
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + b^2 = 13^2
144+b^2 =169
Subtract 144 from each side
144-144+b^2 = 169-144
b^2 = 25
Take the square root on each side
sqrt(b^2) = sqrt(25)
b = 5
Answer:
Step-by-step explanation:
6x - 2y = -4
y= 3x + 2
We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.
6x - 2(3x +2) = -4
Now usually we'd we simply solve for X.
6x - 6x -4 = -4
This clearly does not work as we cannot get rid of X
Therefore, this system of equations has no solution we can find through substitution
Answer:
$7.50
Step-by-step explanation:
4 x 3.00 = $12.00 3.00 off the regular price makes it 12.00 for all the banners
12.00 + 18.00 = 30.00 you add the sale price with the 12.00 to get the total of each banner before the store gave the sale price.
30.00 divide by 4 = 7.50 to find out what the regular price of the banner you divide by the total of banners you bought to get the price of each banner before the sale.
