Answer:
![(7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2](https://tex.z-dn.net/?f=%20%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7B7x%7D%29%5E2%20)
Step-by-step explanation:
Given the expression 
, to express this as a radical expressions, we'd apply the rule/law of indices that deals with converting expressions that has rational exponents into radical expressions.
The rule of indices to apply is: ![b^{\frac{m}{n}} = (\sqrt[n]{b})^m](https://tex.z-dn.net/?f=%20b%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%28%5Csqrt%5Bn%5D%7Bb%7D%29%5Em%20)
To apply this to the expression, , the denominator of the fraction of the exponent would determine the root, that is, cube root in this case. The numerator of the exponent would then determine the exponent of the radical expressions.
Thus:
$110 - ($13 x 5) - $9 - $14 =
$110 - $65 - $9 - $14 =
$110 - $56 - $14 =
$110 - $42 =
$68.
Hope this helped!
Nate
When x is equal to -1:
f(-1)=6(-1)-3
=-7-3
=-10
y=-10
When x is equal to 0:
f(0)=6(0)-3
=0-3
=-3
y=-3
When x is equal to 1:
f(1)=6(1)-3
=6-3
=3
y=3
When x is equal to 2:
f(2)=6(2)-3
=12-3
=9
y=9
Answer:
B = 90
C = 44
D = 46
Step-by-step explanation:
a right angle means that it is 90 degrees, and the combination of all angles must be 180 degrees. This means that angles D and C must equal 90. If you add together the equations assuming the answer is 90, you can solve for x.
(5x - 29) + (2x + 14) = 90
7x - 29 + 14 = 90
7x - 15 = 90
7x = 105
(7x = 105) ÷ 7
x = 15
When you get the value for x you can then plug it into the individual equations to find the degree of the angle
5(15) - 29
75 - 29 = 46
Angle D = 46
2(15) + 14
30 + 14 = 44
Angle C = 44
To check your answer you can add all of the angles together and if they equal 180 then your answer is correct
44 + 46 + 90
90 + 90 = 180
