Answer:
x = 3
Step-by-step explanation:
Use FOIL method
(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)
= 3x² <u>- 8x - 15x</u> + 40 {Combine like terms}
= 3x² <u>- 23x</u> + 40
(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)
= 24 <u>- 4x - 18x </u>+ 3x² {Combine like terms}
= 3x² <u>- 22x</u> + 24
(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13
3x² - 23x + 40 = 3x² -22x + 24 + 13
3x² - 23x + 40 - 3x² + 22x - 24 - 13 = 0
<u>3x² - 3x²</u> - 23x + 22x + 40 - 24 - 13 = 0 {Combine like terms}
<u>0 </u> - x = 0
-x +3= 0
3 = x
x =3
-10 I believe is the answer
Answer:
x = √53
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + 2^2 = x^2
49 + 4 = 53
√53
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.