Answer:
(2n -3) + n = 102
2n - 3 + n = 102
3n - 3 = 102
3n = 105
n = 35 (the first number)
SO...
The other number is (2 x 35) - 3 =
70 - 3 = 67 (the second number)
The numbers are 35 and 67.
35 + 67 = 102 CHECK!
Your answer is x = 3.
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 6 -6x - 12
-3x - 15 = -6 - 6x
-3x + 6x = -6 + 15
3x = -6 + 15
3x = 9
x = 3
The height of the building to the nearest tenth of a meter is; 13 m
<h3>How to make use of Cosine Rule?</h3>
The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
Read more about Cosine Rule at; brainly.com/question/4372174
#SPJ1
Are those supposed to be exponents? When multiplying exponents you add them together
b^3 * b^1 * b^4 * b^2
3 + 1 + 4 + 2 = 10
Answer: b^10
Answer:
(a) 0
(b) f(x) = g(x)
(c) See below.
Step-by-step explanation:
Given rational function:
<u>Part (a)</u>
Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:
Substitute x = -1 to find the limit:
Therefore:
<u>Part (b)</u>
From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).
<u>Part (c)</u>
As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.
