B=bellt price
j=jacket price
b+j=82.78
belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96
belt=$40.96
X is greater than or equal 23
Graph:< ___|_|_|_|_|_|_|_|______>
19 20 21 22 23
closed dot over 23 and line and arrow going to the right
Answer:
60
Step-by-step explanation:
you can use the equations for the pythagorean theorem which is a^2 + b^2 =c^2. plug in the numbers you know and then you figure out what yhe missing value is.
Im Guessing this is a true and fasle
So the answer would be False
Answer:
(2x - 1)
Step-by-step explanation:
- <em>Volume of a rectangular prism is: V = lwh, where l= lenght, w= width, h= height</em>
<h3>Given</h3>
- V = 36x³ + 60x² + x - 20
- l = (3x + 4)
- w = (6x + 5)
and
<h3>Solution</h3>
Since the volume is the polynomial of third degree and the two of the factors are of the first degree, the third factor is going to be a first degree as well in the format of (mx +n)
<u>So we have below equation:</u>
- 36x³ + 60x² + x - 20 = (3x + 4)(6x + 5) (mx + n)
<u>We can work out the value of m and n:</u>
- 3x*6x*mx = 36x³
- 18mx³ = 36 x³
- m = 2
<u>And</u>
- 4*5*n = -20
- 20n = -20
- n = -1
So we get the factor of (mx + n) = (2x - 1)
<u>Therefore </u>
<u>Proof of the polynimial is correct:</u>
- (3x + 4)(6x +5)(2x - 1) =
- (18x²+39x+20)(2x - 1) =
- 36x³ - 18x² + 78x² - 39x + 40x - 20 =
- 36x² + 60x² + x - 20
