Let the numbers be x = 5x+18
3(5x+18) + 4x= 16
15x+ 54+ 4x= 16
19x = 16-54
X=-38/19
X= -2
5x+18= 5 × -2+18 = 8
Answer:
angle 1 is 90 degrees because of the kite theorem:
THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.
angle 2 is 58 degrees because 180-90-32=58 degrees
Step-by-step explanation:
Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
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<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
Answer:
For 2 months
Step-by-step explanation:
Let after x months the cost of each health club is same,
Now, In club A,
Membership fees = $ 19,
Monthly fees = $ 21,
So, the total fees for x months = membership fees + total monthly fees for x months
= 19 + 21x
In Club B,
Membership fees = $ 23,
Monthly fees = $ 20,
So, the total fees for x months = membership fees + total monthly fees for x months
= 23 + 20x
Thus, we can write,
19 + 21x = 23 + 20x
21x - 20x = 23 - 21
x = 2
Hence, for 2 months the total cost of each health club would be same.
